What is the length of the altitude of the equilateral triangle below?
"
81330
813
60° 90°
60"

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

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1.

[tex]kx^{2} + kx + \frac{25}{4}[/tex]

All you need to do is factor out [tex] \frac{1}{4}[/tex]

=[tex] \frac{4kx^{2 +} + 4kx + 25 } {4} [/tex]

if you evaluate it it will become

[tex]kx^{2} + kx + \frac{25}{4} [/tex]

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2.

[tex] \frac{3y² + 1}{4} - \frac{y}{2} = 6[/tex]

[tex]3y² + 1 - 2y = 24[/tex]

[tex]3y² - 23 - 2y = 0[/tex]

[tex]3y² - 2y - 23 = 0[/tex]

[tex]y=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\times 3\left(-23\right)}}{2\times 3} [/tex]

[tex]y=\frac{-\left(-2\right)±\sqrt{4-4\times 3\left(-23\right)}}{2\times 3} [/tex]

[tex]y=\frac{-\left(-2\right)±\sqrt{4-12\left(-23\right)}}{2\times 3} [/tex]

[tex]y=\frac{-\left(-2\right)±\sqrt{4+276}}{2\times 3} [/tex]

[tex]y=\frac{-\left(-2\right)±\sqrt{280}}{2\times 3}[/tex]

[tex]y=\frac{-\left(-2\right)±2\sqrt{70}}{2\times 3}[/tex]

[tex]y=\frac{2±2\sqrt{70}}{6}[/tex]

[tex]y=\frac{2\sqrt{70}+2}{6}[/tex]

[tex]y=\frac{\sqrt{70}+1}{3}[/tex]

[tex]y=\frac{2-2\sqrt{70}}{6}[/tex]

[tex]y=\frac{1-\sqrt{70}}{3}[/tex]

[tex]y=\frac{\sqrt{70}+1}{3}[/tex]

So the answer is

[tex]y=\frac{\sqrt{70}+1}{3}[/tex]

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Explanation:

#Carry on learning

Answer:

[tex]307.876\quad cm^{2}[/tex]

Step-by-step explanation:

As, the given figure is semicircle

Area of Semicircle [tex]=\frac{\pi\ r^{2} }{2} \\[/tex]

r=14 cm

So Area is [tex]=307.876\quad cm^{2}[/tex]

Answer:

307.72 :)

Step-by-step explanation:

SEmicirlce area: 1/2(3.14r^2)

Now lets solve!!

28/2 = 14

1/2(3.14)(14^2)

1/2(3.14 x 196)

1/2(615.44)

307.72

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

y = 3/2x + 15/2

or

y = [tex]\frac{3x+15}{2}[/tex]

Step-by-step explanation:

To solve inverse functions, switch the x and y in the equation, then

solve for y.

original equation :

y = (2/3)x - 5

switch x and y

x = (2/3)y - 5

add 5 to both sides

x + 5 = (2/3)y

Multiply both sides by the reciprical of (2/3)

(3/2)(x+5) = (3/2)(2/3)y

distribute and simplifiy

(3/2x +15/2) = y

or

y = (3/2x) +(15/2)

Answer:

x = 39.6

Step-by-step explanation:

[tex]cos49 = \frac{26}{x} \\ \\ x = 39.6[/tex]

The number of arrangements of the books is an illustration of permutation

The books can be arranged in 5040 ways

The given parameters are:

The number of arrangements is calculated as:

Ways = nPr

Substitute the given values

Ways = ¹⁰P₄

Apply the permutation formula

Ways = 10!/(10 - 4)!

Evaluate the quotient

Ways = 5040

Hence, the books can be arranged in 5040 ways

Read more about permutation at:

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Answer:

The Triangle Midsegment Theorem states that, if we connect the midpoints of any two sides of a triangle with a line segment, then that line segment satisfies the following two properties

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

60 ÷ (3+7) + 7 • (9÷3)​=

60÷10+7•3=

6+7•3=

6+21=27

The area of the square, which has an apothem measuring 2.5 cm and a perimeter of 20 cm is 25 cm².

Area of square is the square of its side's length. It can be given as,

[tex]A=a^2[/tex]

Here, (a) is the length of the side of the square

A square has an apothem measuring 2.5 cm and a perimeter of 20 cm. The perimeter of the square is 4 times the sides of the square.

Let suppose the side of this square is a cm. thus,

[tex]4a=P\\4a=20\\a=\dfrac{20}{4}\\a=5\rm\; cm[/tex]

The area of the square is,

[tex]A=5^2\\A=25\rm\; cm^2[/tex]

Hence, the area of the square, which has an apothem measuring 2.5 cm and a perimeter of 20 cm is 25 cm².

Learn more about the area of square here;

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Answer:

25cm

Step-by-step explanation:

e2020

By using what we know about right triangles, we will see that the height is 11.7 m.

We can view this as a right triangle, such that the wire is the hypotenuse of said triangle.

We know that the hypotenuse measures 14 m, and the angle between the ground and the wire si 57°. The height would be the opposite cathetus to that angle, so we can use the rule:

Sin(a) = (opposite cathetus)/hypotenuse

Replacing the values we get:

Sin(57°) = H/14m

Sin(57°)*14m = H = 11.7m

The height of the tower is 11.7 meters.

If you want to learn more about right triangles, you can read:

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Answer:

ΔSTR ~ ΔSRQ

Step-by-step explanation:

ΔSTR ~ ΔSRQ

because we need to write the corresponding sides in the same order

ST corresponds to SR

TR corresponds to RQ

SR corresponds to SQ

The maximum area would be a square with 4 identical sides.

36/4 = 9

Each side would be 9 feet long.

Area = 9 x 9 = 81 square feet

Answer: 81 square feet

Answer:

disjoined am not sure abot the P(A or B)

Step-by-step explanation:

Answer:

disjointed 2/3

Step-by-step explanation:

hopeit helps

Answer:

5.4232

Step-by-step explanation:

this should be correct

Answer:

C. 3.8 x 10¹⁰

Step-by-step explanation:

Our expression :

Steps to solve :

1) Take the values of the exponents of 10 and the other numbers separately.

C is the correct option.

Answer:4.25

Step-by-step explanation: you divide the cost by the materials I believe (I’m sorry if it’s wrong)

Answer:

2.85

Step-by-step explanation:

In order to find a unit price (price per item), you will need to divide.

In this case, we have the numbers 14.25 and 5.

So if we divide...

14.25 ÷ 5 = 2.85

We know the unit price.

The answer is 2.85.

Brainliest please?  

Answer:

10 inches

Step-by-step explanation:

Hope it helps ......

Answer: both median and mean

Step-by-step explanation:

Answer:

C Both the mean and median are appropriate measures of center.

Step-by-step explanation:

The linear equation which has only one solution would be |–6x + 3| = 0

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

|x – 5| = –1

The absolute function cannot be equal to the negative. so we cannot solve this absolute function.

|–6 – 2x| = 8

For this absolute function, we make two equations here

-6-2x= 8  and -6-2x= 8. So we will get two solutions for x.

|5x + 10| = 10

For this absolute function, we make two equations here

5x+10= 10 and 5x+10= -10. So we will get two solutions for x

|–6x + 3| = 0

For this absolute function we make two equations

-6x+3=0 and -6x+3=-0.

Both have the same 0 on the right side. So we will get only one solution for x

Learn more about equation;

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Answer:

the answer is D.

Step-by-step explanation:

A has no solutions

B and C have two solutions.

therefore, none of these have only one solution.

Answer:

Step-by-step explanation:

Given that a quadrilateral has two angles that measure 222° and 81°.

Let other two angles of quadrilateral be 6x and 13x. We know that sum of all the angles of quadrilateral is 360°.

➝ 222 + 81 + 6x + 13x = 360°

➝ 303 + 19x = 360°

➝ 19x = 360° - 303

➝ 19x = 57

➝ x = 57/19

➝ x = 3

Hence,

∴ Other two angles of quadrilateral measures 18° and 39°

Answer:

Measurement of other two angles are 39° and 19°

Step-by-step explanation:

Given :-

To find:-

Solution:-

Let the value of other two angles be 6x and 13x

We know , the sum of angle inside a quadrilateral is 360°

222° + 81° + 13x + 6x = 360°

19x = 360° - 303°

x = 3

So , the value of other two angles are

13 × 3 = 39°

6 × 3 = 18°

Answer:

7

Step-by-step explanation:

42 divided by 6 = 7 packages

Answer:

pay ($), y

Step-by-step explanation:

Well, in the number of hours you work determines your pay in this case. So, pay is dependent of the number of hours.

And, the dependent variable is usually represented by y in a x,y graph.

Answer:

Step-by-step explanation:

I just came to the realization that your probably cheating. Don't cheat, it doesn't help you now or in the long run. Nevertheless, I have already outlined the method like three times. So, at the very least, attempt this question hoenstly.

The true statement is as follows "No because she did not use a simple random sample".

Random sampling is the method to choose the given samples of observation to make assumptions about the population.

It is given that

Population: All tenth-grade girls

Sample: 20 intramural tennis players

The 20 intramural tennis players cannot represent all tenth-grade girls.

This is so because the selection is biased here, and it could not be used to make inferences about the overall population. then she did not use a simple random sample.

Hence, the true statement is (b)

Read more about random sampling at:

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Answer:

the correct answer is B.

Step-by-step explanation:

~Hope this helps! :)

Answer:

y=300-7x

Step-by-step explanation:

since monthly budget for gasoline=$300

Per day, he uses an average of $7 of gasoline

after x days he will use $7x of gasoline.

remaining amount after x days of driving= 300-7x

the equation will be y= 300-7x

Answer:

3

Step-by-step explanation:

In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.

Step 1: Draw a rectangle where the width is x and the length is x + 5.

Step 2: Find the sum of the lengths and the sum of the widths

2 times the length plus 2 times the width equals the perimeter

2(x + 5) + 2(x) = 54

Step 3: Solve for the width

2(x + 5) + 2(x) = 54

2x + 10 + 2x = 54 (Distributive Property)

4x + 10 = 54 (Group Like Terms)

4x = 44 (Subtraction Property of Equality)

4x/4 = 44/4

x = 11 (Division Property of Equality)

x = width = 11

Step 4: Solve for the length

x + 5 = length

11 + 5 = 16

Length = 16. So (3) must be the answer.

Answer:

35 miles

Step-by-step explanation:

Let's say Fritz travels at x miles per hour via train and y miles per hour via car.

(speed of car) + 80 miles per hour = speed of train

y + 80 = x

Speed * time = distance

Speed of train * time of train = distance = speed of car * time of car

x * 15 minutes = y * 35 minutes

convert minutes to hours since miles per hour is in terms of hours

60 minutes = 1 hour

15 minutes = ? hours

multiply 15 minutes by 1 hour/60 minutes. since 60 minutes = 1 hour, we can divide both sides by 60 minutes to get 1 hour/60 minutes = 1. we can always multiply by 1, so we do that here. note that the minutes are in the denominator so the 15 minutes cross out with the 60 minutes, leaving us with only hours as our unit.

15 minutes = 15 minutes * 1 = 15 minutes * 1 hour/60 minutes = 15/60 hours = 3/12 hours

similarly, 35 minutes * 1 hour/60 minutes = 35/60 hours = 7/12 hours

x * 15 minutes = y * 35 minutes

x * 3/12 hours = y * 7/12 hours

plug y+80 in for x

(y+80) * 3/12 hours = y * 7/12 hours

(3/12) * y + 20 = (7/12) * y

subtract (3/12) * y from both sides to isolate the variable (y) and its coefficient

20 = (4/12) * y

multiply both sides by 12/4 (the inverse of the coefficient) to get rid of the coefficient

20*12/4 = y = 60

y = 60 miles per hour

x = y + 80 = 140 miles per hour

distance = x * 3/12 hours = 140 miles/hour * 3/12 hours= 35 miles

Answer:

Step-by-step explanation:

I agree with Kiran that the graph of g(x) = [tex]4* 2^{x}[/tex] is a vertical scaling of the graph of f(x) = [tex]2^{x}[/tex],

Scaling of the graph refers to the process of stretching or shrinking a graph of a function either vertically or horizontally, while maintaining the shape of the graph.

If the function f is given by f(x) = [tex]2^{x}[/tex],

the function of g is given by g(x) = [tex]4* 2^{x}[/tex]

I agree with Kiran that the graph of g(x) = [tex]4* 2^{x}[/tex] is a vertical scaling of the graph of f(x) = [tex]2^{x}[/tex],

To see this, note that both functions have a base of 2 raised to the power of x. However, the function g has an additional factor of 4 multiplying [tex]2^{x}[/tex]. This means that g is 4 times larger than f for any given value of x.

On the other hand, I disagree with Mai that the graph of g is a horizontal shift of the graph of f. A horizontal shift occurs when a function is moved left or right along the x-axis. However, both f and g have the same base, so the shape of their graphs is the same. The only difference is the vertical scaling due to the additional factor of 4 in g.

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Correct question here-

Applying the sine ratio and the Pythagorean theorem, the adjecent length to angle β is: A. 16.7 cm.

The sine ratio is given as, sin ∅ = opposite/hypotenuse.

Given the following in a right triangle:

Find the opposite side by applying the sine ratio:

0.292 = opp/17.5

Opposite = (0.292)(17.5)

Opposite = 5.11

Using the Pythagorean theorem, we have:

Adjacent length = √(17.5² - 5.11²)

Adjacent length = 16.7 cm.

Thus, applying the sine ratio and the Pythagorean theorem, the adjecent length to angle β is: A. 16.7 cm.

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Using the vertex of the quadratic equation, it is found that his minimum height will be of 25.875 feet.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the equation is:

h(t) = 2t² - 5t + 29.

Hence the coefficients are a = 2 > 0, b = -5, c = 29, and the minimum height in feet is given by:

[tex]y_v = -\frac{(-5)^2 - 4(2)(29)}{4(2)} = 25.875[/tex]

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Ben minimum height above the ground when climbing the tree would be 25.875 feet

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that:

h(t) = 2t² - 5t + 29

The minimum height is at h'(t) = 0, hence:

h'(t) = 4t - 5

4t - 5 = 0

t = 5/4

h(5/4) = 2(5/4)² - 5(5/4) + 29 = 25.875 feet

Ben minimum height above the ground when climbing the tree would be 25.875 feet

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