I need help with my homework

I Need Help With My Homework
I Need Help With My Homework

Answers

Answer 1

The table that represents the function for a lawn being mowed more quickly than by Killian's rate is given as follows:

Second table.

How to obtain the average rate of change?

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

Killian can cut grass at a rate of 1000 square feet each 10 minutes, hence his average rate of change is given as follows:

1000/10 = 100 square feet per minute.

For the second table, in 7 minutes, 1100 square feet of lawn is mowed, hence the rate is given as follows:

1100/7 = 157 square feet per minute.

It is more quickly than Killian's as the rate of change is greater.

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Related Questions

which of the following is not an identity?

Answers

The trigonometry expression which is not an identity is 1+cos² x/sin²x + 1. The Option A is correct.

What is a trigonometric identities?

Trigonometric Identities refers to equalities that involve trigonometry functions and hold true for all variables in the equation. There are numerous trigonometric identities involving the side length and angle of a triangle.

The primary trigonometry functions are sine, cosine, and tangent, while the other three functions are cotangent, secant, and cosecant. All six trig functions are used to derive the trigonometric identities.

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Bro leave me alone pls

Answers

Answer:

Step-by-step explanation:

how do i solve this problem?

Answers

Option A correctly describes the area of the graph of the function.

How is an area of the graph calculated?

The area of a graph is the area under the function curve enclosed within the X-axis of the graph. Thus, it is the area of the figure formed by enclosing the function graph with the X-axis.

It is the integration of the function polynomial of the possible values of x that the function curve lies in.

Here the function equation is : [tex]f(x) = ( 25 - x^{2} )[/tex]

From the figure, we can see that the value of x varies from -5 to 5.

Initial x-value of integration = minimum value of x

                                          = -5

Final x-value of integration = maximum value of x

                                          = 5

Thus, the area of the graph can be correctly calculated as. :

               [tex]Area = \int\limits^{maxX}_ {minX} \, f(x)dx[/tex]

               [tex]Area = \int\limits^5_ {-5} \, (25-x^{2} )dx[/tex]

Hence, Option A correctly calculates the area of the graph given.

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The ratio of the birth weight to the adult weight of a male black bear is 3:1000. The average birth weight is 12 ounces. Find the average adult weight. Your answer is probably in ounces. If there are 16 ounces in 1 pound, how many pounds does the adult bear weigh?

Answers

In response to the stated question, we may state that As a result, an expressions adult black bear weighs 250 pounds.

what is expression ?

An expression in mathematics is a collection of numbers, variables, and mathematical (such as addition, reduction, multiplication, division, exponentiation, etc.) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complicated as "(3x2 - 2) / (x + 1)". They may also contain functions like "sin(x)" or "log(y)". Expressions can also be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

Let B represent the birth weight of a male black bear and A represent the mature weight. The ratio of B to A is supplied to us as 3:1000. As a result, we may write:

B/A = 3/1000

The average birth weight (B) is also reported as 12 ounces. We may use these data to get the average adult weight (A):

[tex]B/A = 3/1000\\12/A = 3/1000\\A = 12/(3/1000)\\A = 4000[/tex]

A male black bear's typical mature weight is 4000 ounces.

To convert ounces to pounds, divide by 16 (since one pound contains 16 ounces):

[tex]4000/16 = 250[/tex]

As a result, an adult black bear weighs 250 pounds.

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MAKE CONNECTIONS Determine whether triangle XYZ can be a right triangle. Explain.
X (0, 0), Y (2h, 2h), Z (4h, 0)
Slope of XY Select Choice -1, 1, or 0
slope of YZ Select Choice 1, 0, or -1slope of ZX Select Choice -1, 1, or 0because Select Choice 1(1) = 1, 1(-1) = -1, 1(0) = 0, or 0(-1) =0XY Select Choice is or is not
perpendicular to YZ. Therefore, triangle XYZ Select Choice is not or is a right triangle.

Answers

Answer: slope of XY is not perpendicular to YZ. Therefore, triangle XYZ is a right triangle.

Step-by-step explanation:

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1).

Using this formula, we can find the slopes of the three sides of triangle XYZ:

Slope of XY = (2h - 0) / (2h - 0) = 1

Slope of YZ = (0 - 2h) / (4h - 2h) = -h / h = -1

Slope of ZX = (0 - 0) / (4h - 0) = 0

Therefore, the slope of XY is 1, the slope of YZ is -1, and the slope of ZX is 0.

Since the product of the slopes of two perpendicular lines is -1, we can see that the slope of XY and the slope of YZ are negative reciprocals of each other, which means that they are perpendicular. Therefore, triangle XYZ is a right triangle.

Write an equation to determine each unknown length. Then, solve the equation. Round your answer to the nearest tenth, if necessary.
X=___ Round to the nearest tenth (One number after the decimal)

Answers

Answer: 40

Step-by-step explanation:

a(2) + b(2) = c(2)

a(2) + 9(2) = 11(2)

121 - 81 = 40

In △ABC, AB=5, BC=4, and AC=3. The triangle is translated left 2 units and up 6 units to △A′B′C′. What is the length of segment A′C′?

A′C′=6
cap A prime cap c prime is equal to 6

A′C′=3
cap A prime cap c prime is equal to 3

A′C′=4
cap A prime cap c prime is equal to 4

A′C′=2

Answers

Answer:

3

Step-by-step explanation:

The entire triangle shifts 2 to the left and up 6, the lengths of the sides remain the same, therefore:

AC = A'C' = 3

Arrange the quantities from smallest to largest. 2.4 dag. , .21 kg , 190 cg

Answers

The quantities arranged from smallest to largest are 1.9 g, 24 g, and 210 g.

What is quantity?

A quantity is a property or attribute of an object or phenomenon that can be measured or described numerically. Quantities can be either scalar, meaning they have a magnitude (or size) but no direction, or vector, meaning they have both a magnitude and a direction.

According to question:

First, let's convert all the quantities to the same unit.

2.4 dag = 24 g (since 1 dag = 10 g)

0.21 kg = 210 g (since 1 kg = 1000 g)

190 cg = 1.9 g (since 1 cg = 0.01 g)

Now we can arrange the quantities from smallest to largest:

1.9 g

24 g

210 g

Therefore, the quantities arranged from smallest to largest are 1.9 g, 24 g, and 210 g.

Dag is a weight measuring unit that is rarely applied in daily life. Dag is an abbreviation for "dekagram", which is a metric unit of mass equal to 10 grams. One dekagram is equivalent to 0.01 kilograms or 0.3527 ounces.

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!!!!!! ANSWER QUICK .Barbie is building a dream out and purshcansed a slanted roof that is 16 inches long on both sides. Her dream house is exactly 24 inches wide. How high should she build a roof the supports so that the roof fits the house perfectly. PLS TELL ME HOW TO SOLVE IT UNGRENTLY!!!!

Answers

Barbie should build a roof support that is 4√7 inches high to fit the slanted roof perfectly on her dream house.

Describe Pythagorean theorem?

The Pythagorean theorem is a fundamental theorem in mathematics that describes the relationship between the three sides of a right-angled triangle. It is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery.

The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Mathematically, this can be expressed as:

a² + b² = c²

where a and b are the lengths of the two shorter sides of the triangle (called the legs), and c is the length of the hypotenuse.

The Pythagorean theorem has important implications in geometry, trigonometry, and other branches of mathematics. It is also widely used in a variety of real-world applications, such as architecture, engineering, and physics. For example, it can be used to calculate the distance between two points in a two-dimensional plane, the height of a building or a tree, or the length of a diagonal in a rectangle or a square.

To solve this problem, we need to use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs (the two shorter sides) is equal to the square of the length of the hypotenuse (the longest side).

In this case, the two legs of the right triangle are the height of the roof and half the width of the house (since the roof slants down from the center of the house). The hypotenuse is the length of the roof, which is 16 inches on both sides.

So, we can set up the equation:

(height)² + (12)² = (16)²

Simplifying and solving for the height:

(height)² = (16)² - (12)²

(height)² = 256 - 144

(height)² = 112

height = √112

Using a calculator or simplifying by hand, we find that:

height = 4√7 inches

Therefore, Barbie should build a roof support that is 4√7 inches high to fit the slanted roof perfectly on her dream house.

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How many solutions does this equation have? –8 + 3s + 17s = 20s + 8

Answers

Answer: There are no solutions

Step-by-step explanation:

Step 1: simplify both sides of the equation

-8 + 3s + 17s = 20s + 8

(3s+17s) + (-8) = 20s + 8 (combine like terms)

20s + -8 = 20s + 8

20s - 8 = 20s + 8

Step 2: Subtract 20s from both sides

20s - 8 - 20s = 20s + 8 - 20s

-8 = 8

Step 3: Add 8 to both sides

-8 + 8 = 8 + 8

0 = 16

Thus, there are no solutions

Find x
Given: x=AC, m

Answers

Answer:

x = 15.733

Step-by-step explanation:

A researcher asked 520 randomly selected people of three different age groups (teen, young adult, and adult) about their favorite music genre. The two-way table displays the distribution of the responses.

A 4-column table with 3 rows. Column 1 has entries country, rock, oldies. Column 2 is labeled Teen with entries 61, 94, 15. Column 3 is labeled young adult with entries 65, 84, 36. Column 4 is labeled Adult with entries 49, 54, 62. The columns are labeled age and the rows are labeled music.

A participant is randomly selected. Let C be the event that the participant prefers country music and let T be the event that the participant is a teen. What is the value of P(C or T)?

0.12
0.33
0.55
0.66

Answers

The probability that the participant either is a teen or prefers country music is given as follows:

P(C or T) = 0.55.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The desired outcomes for this problem are given as follows:

61 + 94 + 15 = 170 teens.65 + 49 = 114 people that are not teens but prefer country music.

There were 520 people in the research, hence the probability that the participant either is a teen or prefers country music is given as follows:

P(C or T) = (170 + 114)/520

P(C or T) = 0.55.

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Follow the steps below to find the value of x that makes A||B. offende 8x + 30 B 10x A Set the alternate exterior angles equal to each other. [ ? ]x = X + Enter​

Answers

The value of x that makes A parallel to B is 15.

Describe Alternate Exterior Angles?

Alternate exterior angles are a pair of angles that lie outside of two parallel lines and are on opposite sides of the transversal. In other words, they are a pair of non-adjacent angles that are formed when a transversal intersects two parallel lines. The angles are congruent, meaning that they have the same measure.

The term "alternate" refers to the fact that they are on opposite sides of the transversal and "exterior" indicates that they are outside of the parallel lines. Alternate exterior angles are important in geometry because they can be used to prove that two lines are parallel. If the alternate exterior angles are congruent, then the lines are parallel.

Since the alternate exterior angles are equal, we can set them equal to each other:

8x + 30 = 10x

Subtracting 8x from both sides, we get:

30 = 2x

Dividing both sides by 2, we get:

15 = x

So the value of x that makes A||B is 15.

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The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The other has a purchase price of $369 and an estimated yearly operating cost of $9. Which TV should the Gordons buy if they plan to keep it for 8 years? Use rational functions to help justify your answer.


ANSWER:rational functions that model the average annual cost of each television if it is owned for x years, such as f(x)= (330+14x)/x and
g(x)= (369+9x)/x

calculation proving that over 8 years, the annual cost for the $330 television is $55.25; for the $369 television, it is $55.13

statement that the Gordons should buy the $369 television because it is less expensive overall

step by step: edge 2023

Answers

Answer:

The Gordon's should buy TV2

Step-by-step explanation:

To determine which TV the Gordons should buy, we need to compare the total cost of each TV over the 8-year period. Let's define some variables:

- Let x be the number of years the TV is used.

- Let y1 be the total cost of TV 1 over x years.

- Let y2 be the total cost of TV 2 over x years.

- Let P1 be the purchase price of TV 1.

- Let P2 be the purchase price of TV 2.

- Let O1 be the annual operating cost of TV 1.

- Let O2 be the annual operating cost of TV 2.

Using these variables, we can write the following equations:

y1 = P1 + x * O1

y2 = P2 + x * O2

To compare the total cost of each TV over 8 years, we need to find y1 and y2 when x = 8. Plugging in the given values, we get:

y1 = 330 + 8 * 14 = 462

y2 = 369 + 8 * 9 = 441

Therefore, the total cost of TV 1 over 8 years is $462, and the total cost of TV 2 over 8 years is $441. Since TV 2 has the lower total cost, the Gordons should buy TV 2.

From a mathematical standpoint, we can also use rational functions to analyze this problem. The total cost of each TV is a linear function of x, so we can write:

y1(x) = P1 + x * O1

y2(x) = P2 + x * O2

The ratio of these functions is:

y1(x) / y2(x) = (P1 + x * O1) / (P2 + x * O2)

To determine which TV is cheaper over 8 years, we need to compare the ratios when x = 8:

y1(8) / y2(8) = (330 + 8 * 14) / (369 + 8 * 9) ≈ 1.051

Since this ratio is greater than 1, TV 1 is more expensive than TV 2 over 8 years. Therefore, the Gordons should buy TV 2.

Plastic souvenir cups come in three different sizes: small (S), medium (M), and large( L). The available colors are red R, white W, and blue B. Make a list to represent all the possible combinations of the different cups based on size and color. Write each outcome in the format (Size, Color).
due by tomorrow!!

Answers

The answer of the question based on probability of the representing all the possible combinations of the different cups based on size and color the list is given below,

What is Event?

In probability theory, event is  set of possible outcomes or results of an experiment or situation. For example, rolling a six-sided die and getting even number is  event, as it consists of set of possible outcomes {2, 4, 6}.

Events can also be mutually exclusive or independent. Two events are mutually exclusive if they cannot occur at  same time, like rolling a 1 and rolling a 2 on a die.

Events can be simple or compound. A simple event consists of single outcome, like rolling particular number on a die, while  compound event consists of more than one outcome, like rolling an even number or rolling  number greater than 4 on a die.

Here is a list of all possible combinations of the different cups based on size and color:

Small, Red (S,R)

Small, White (S,W)

Small, Blue (S,B)

Medium, Red (M,R)

Medium, White (M,W)

Medium, Blue (M,B)

Large, Red (L,R)

Large, White (L,W)

Large, Blue (L,B)

There are a total of 9 possible combinations of cup size and color.

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Simplify 1/cos x + 1/cos x -1

Answers

Answer:

-2cotxcscx

Step-by-step explanation:

Step 1: Find a common denominator

Step 2: Simplify

the diagram shows a 5x5x5 cube calculate the length of the diagonal AB

Answers

Answer:4

Step-by-step explanation:4

Write an expression describing all the angles that are coterminal with 8°. (Please use the variable k in your answer. Give your answer in degrees, but do not include a degree symbol in your answer.)

Answers

the expression describing all the angles that are coterminal with 8° is: θ = 8° + 360°k, where k is an integer.

How to solve and what is angle?

An angle of 8° has an initial side on the positive x-axis and rotates counterclockwise by 8°.

Any angle coterminal with 8° can be expressed as:

θ = 8° + 360°k

where k is an integer.

Therefore, the expression describing all the angles that are coterminal with 8° is:

θ = 8° + 360°k, where k is an integer.

An angle is a geometric figure formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle. Angles are typically measured in degrees or radians and are used to measure the amount of rotation or turn between two intersecting lines or planes.

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(PLEASE HELP MY GRADES WRE DUE TMRO)Scientists are preparing two satellites to be launched. The graph below represents the
number of miles, y, that the satellite, Space Explorer A, flies in a hours.
Miles

Answers

The rate of change is equal to 6,800 miles per hour.

What is the rate of change?

In Mathematics and Geometry, the rate of change can be determined by using the following mathematical equation (formula);

Rate of change, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change, m = (y₂ - y₁)/(x₂ - x₁)

Next, we would determine the rate of change of the value of y with respect to the value of x for Space Explorer A;

Rate of change, m = (68,000 - 34,000)/(10 - 5)

Rate of change, m = 34,000/5

Rate of change, m = 6,800 miles per hour.

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Complete Question:

Scientists are preparing two satellites to be launched. The graph below represents the number of miles, y, that the satellite, Space Explorer A, flies in a hours. Find the rate of change.

The proof shows that ABCD is a rhombus. Which of the following is the
missing reason?
A. Reflective property
B. Symmetric property
C. Transitive property
D. Addition property

Answers

The correct answer is B. Symmetric property.

The symmetric property states that if a = b, then b = a. In the context of geometry, this property can be used to show that if one side of a figure is congruent to another side, then the second side is also congruent to the first. In the case of the given proof, it is possible that the symmetry of the figure is used to show that opposite sides of the rhombus are congruent.

The reflective property (A) is not typically used to prove that a figure is a rhombus, as it relates to the reflection of a figure across a line. The transitive property (C) and the addition property (D) are also unlikely to be used in this context, as they relate to the properties of equality and addition, respectively, rather than geometric properties of figures.

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Tauri is 3 years older than Treasure. In 5 years the sum of their ages will be 63. How old is Tauri now?

Answers

Answer:

Tauri is currently 28 years old

Step-by-step explanation:

Write 2/8 in lowest terms.

Answers

Answer: 1/4

Step-by-step explanation:

2 divided by 2 is 1 and 8 divided by 2 is 4 so 1/4

Answer: 1/4

Step-by-step explanation: We can simplify by divideing both the numerator and the denominator by 2. That will leave us with the answer of 1/4.

The tens digit in a dividend is less than the divisor. The divisor has one digit. Gracie says the quotient must have a 0 in the tens place. Is Gracie correct? Explain

Answers

Gracie's statement is not necessarily correct about the tens digit in a dividend is less than the divisor and the divisor has one digit. Gracie says the quotient must have a 0 in the tens place.

What is dividend?

In mathematics, a dividend is the number that is being divided in a division problem. For example, in the division problem 18 ÷ 3 = 6, 18 is the dividend.

Gracie's statement is not necessarily correct. Let's look at a couple of examples to see why.

Example 1:

Dividend = 25

Divisor = 4

In this case, the tens digit of the dividend (2) is less than the divisor (4). The quotient is 6 with a remainder of 1. There is no 0 in the quotient, so Gracie's statement is incorrect.

Example 2:

Dividend = 35

Divisor = 4

In this case, the tens digit of the dividend (3) is also less than the divisor (4). The quotient is 8 with a remainder of 3. Again, there is no 0 in the quotient, so Gracie's statement is still incorrect.

From these examples, we can see that Gracie's statement is not always true. It is possible for the tens digit of the dividend to be less than the divisor, and for the quotient to not have a 0 in the tens place.

The only time Gracie's statement would be true is if the remainder is 0 after dividing the dividend by the divisor. In that case, the quotient would indeed have a 0 in the tens place. However, this is not always the case.

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50 POINTS + BRAINLIEST!!!
I have two fair dice each numbered 1 to 6. I am going to throw the two dice. What is the probality that the sum of the numbers of the dice will be a square number?

Answers

Answer:

7/36

Step-by-step explanation:

It is given that we have two dice numbered from 1 to 6 . The maximum sum that can be obtained by rolling two dice is 6+6 = 12 and the minimum sum that can be obtained by rolling is 1+1 = 2 .

Now between 2 and 12 , the numbers which are perfect square are 4 and 9 .

Getting a sum of 4 :-

We can get a sum of four from two dice as ,

1 on first dice, 3 on other.2 on first dice , 2 on other.3 on first dice , 1 on other.

Getting a sum of 9 :-

3 on first dice, 6 on other.6 on first dice, 3 on other.4 on first dice, 5 on other.5 on first dice, 4 on other.

So there are a total of 7 possibilities by which we can can get a perfect square number by rolling two dices .

Now total number of possible outcomes = 6*6 = 36 .

Henceforth the required probability would be ,

[tex]\rm\implies P( getting \ a \ square\ number) =\dfrac{Total \ number\ of \ favourable\ outcomes}{Total \ number \ of \ possible \ outcomes} [/tex]

[tex]\rm\implies \underline{\underline{\red{ P( getting \ a \ square\ number)=\dfrac{7}{36}}}}[/tex]

Hence the required probability is 7/36 .

The probability of getting a square number as the sum is therefore 7/36.

WHAT IS PROBABILITY ?

Probability is a branch of mathematics that deals with the study of random events or phenomena. It involves analyzing the likelihood of an event occurring, given the conditions or circumstances that surround it. Probability is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is widely used in many fields, including statistics, physics, finance, engineering, and social sciences, to name a few.

There are 36 possible outcomes when two dice are thrown since each die has 6 possible outcomes.

Let's find the possible outcomes where the sum of the numbers on the dice is a square number. The only possible sums that are squares are 4, 9 and 16.

To get a sum of 4, the dice must land on 1 and 3 or 3 and 1. There are two possible ways of doing this, so there are 2 outcomes.

To get a sum of 9, the dice must land on 3 and 6, 4 and 5, 5 and 4, or 6 and 3. There are four possible ways of doing this, so there are 4 outcomes.

To get a sum of 16, the dice must both land on 6. There is only one possible way of doing this, so there is 1 outcome.

Therefore, there are 2 + 4 + 1 = 7 outcomes where the sum of the numbers on the dice is a square number.

The probability of getting a square number as the sum is therefore 7/36.

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Scott took out a 72 month
loan for $35,000 to purchase
a new boat. If Scott paid
$8,925 in simple interest,
what was the interest rate?

Answers

The interest rate can be found by dividing the total amount of interest paid by the loan principal and the number of years of the loan. In this case, the interest rate would be:

$8,925 / ($35,000 * 6 years) = 0.0429 or 4.29%

Therefore, the interest rate on Scott's loan was 4.29%.

The interest rate paid by Scott is 4.25% for the 72 months.

We can determine the simple interest of the given problem by the simple interest formula which is given as :

I=PRT

Where,

I=Interest

P=principal

R=rate in decimal

T=time in years

Converting the given 72 months into years we get time t :

1 year = 12months

72 months / 12months = 6 years

t=6

From the given data

I=8925

P=35000

R=r

T=6

Substituting the above values in the simple interest equation we get:

8925 = 35000*r*6

8925 = 210000*r

divide both sides by 210000

R = 0.0425

Therefore, the interest rate is 4.25%

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Find the missing length indicated. * A) 12 C) 8 A OB D 16 24 36 B) 18 D) 15​

Answers

Answer:

Is D

Step-by-step explanation:

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. 2 similar right triangles. Triangle 1 has side length 12, hypotenuse 15, and blank side. Triangle 2 has side length 4, hypotenuse 5, and blank side. a. StartFraction 4 Over 15 EndFraction = StartFraction 5 Over 12 EndFraction = StartFraction 4 Over 15 EndFraction b. StartFraction 4 Over 5 EndFraction = StartFraction 12 Over 15 EndFraction = StartFraction 4 Over 5 EndFraction c. StartFraction 4 Over 12 EndFraction = StartFraction 5 Over 15 EndFraction = StartFraction 1 Over 3 EndFraction d. StartFraction 5 Over 4 EndFraction = StartFraction 15 Over 12 EndFraction = StartFraction 5 Over 4 EndFraction

Answers

Answer:

Step-by-step explanation: To find the ratio of corresponding sides for the two similar triangles, we need to match up the corresponding sides of the triangles and write the ratios of their lengths.

For Triangle 1, we have:

Side length = 12

Hypotenuse = 15

We can use the Pythagorean theorem to find the length of the blank side:

(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2

(Blank side)^2 = 15^2 - 12^2

(Blank side)^2 = 225 - 144

(Blank side)^2 = 81

Blank side = 9

So, for Triangle 1, we have the following ratios:

Side length : Hypotenuse = 12 : 15

Side length : Blank side = 12 : 9

Hypotenuse : Blank side = 15 : 9

For Triangle 2, we have:

Side length = 4

Hypotenuse = 5

We can use the Pythagorean theorem to find the length of the blank side:

(Blank side)^2 = (Hypotenuse)^2 - (Side length)^2

(Blank side)^2 = 5^2 - 4^2

(Blank side)^2 = 25 - 16

(Blank side)^2 = 9

Blank side = 3

So, for Triangle 2, we have the following ratios:

Side length : Hypotenuse = 4 : 5

Side length : Blank side = 4 : 3

Hypotenuse : Blank side = 5 : 3

Therefore, the ratio of corresponding sides for the two similar triangles is:

Side length : Side length = 12 : 4 = 3 : 1

Hypotenuse : Hypotenuse = 15 : 5 = 3 : 1

Blank side : Blank side = 9 : 3 = 3 : 1

Reducing each ratio to lowest terms, we get:

Side length : Side length = 3 : 1

Hypotenuse : Hypotenuse = 3 : 1

Blank side : Blank side = 3 : 1

So the correct answer is (b) StartFraction 4 Over 5 EndFraction = StartFraction 12 Over 15 EndFraction = StartFraction 4 Over 5 EndFraction.

9. The price of a Delta Air Lines ticket from New York to Orlando increased to $450. This is an 8% increase. What was the old fare to nearest cent?

Answers

Answer:

$416.66

Step-by-step explanation:

We take

450 divided by 108, then time 100 = $416.66

So, the old fare is $416.66

Reflections; rotations and translations are transformations that change the what of a figure

Answers

Answer:

eflections, rotations, and translations are all transformations that change the position of a figure in the plane. These transformations change the orientation, location, or both of a figure without altering its size or shape. In other words, they change the position or location of the figure in the plane while maintaining the same size and shape.

Find the simplified form of the expression. Give your answer in scientific notation.
(8 × 10^4)(9 × 10^–8)

Answers

Answer:

7.2×10^-3

Step-by-step explanation:

8 × 10^4×9 × 10^–8

=8×9×10^(4-8)

=72×10^-4

=7.2×10^-3

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