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If a right triangle has a hypotenuse of 13 inches and a leg of 5 inches, how could you use the Pythagorean Theorem to find the missing side? What is the length of the missing side?

A tree casts a 13-foot shadow. The distance from the top of the tree to the far end of the shadow is 22 feet. If the tree is perfectly straight and creates a right angle with the ground. How tall is the tree?

How can you use the Pythagorean Theorem to find the distance between two points on the coordinate plane?
A cone has a radius of 6 inches and a height of 11 inches. What is the volume of the cone?

Answers

Answer 1

Answer:

1)  46.64

2)  17.75

3)  414.69

Step-by-step explanation:

13^2 -5^2=sqrt2172=46.64

22^2-13^2=sqrt315=17.75

V=πr2h

11/3=π·62·11

11/3≈414.69


Related Questions

Find the measure of the exterior ∠1.
A. 60°
B. 80°
C. 150°
D. 90°

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Measure of an exterior Angle of a triangle is sum of two opposite interior angles of the same triangle ~

that is :

[tex]\qquad \tt \dashrightarrow \: \angle1 = 60 + 30[/tex]

[tex]\qquad \tt \dashrightarrow \: \angle1 = 90 \degree[/tex]

So, D is the correct choice ~

Step-by-step explanation:

As the sum of all angles of triangle is 180°

and we have been given 2 angles i.e 30° and 60°

So, Third angle will be 90°

Angle 1 = 180°-90° (as the value of angle made by a straight line is 180°)

Angle 1 = 90°

Help please i don't want to get held back

Answers

Let total data be x GB

then

4% of x = 1.2GB

4% × x = 1.2

0.04 x = 1.2

x = 1.2 / 0.04

x = 120 ÷ 4 = 30 GB

ASNWER QUICK WILL MARK BRAINLESIT! WORTH 84 BRAINLY POINTS THANKS
A 56°

B 73°

C : 51°

D 107

Answers

Answer:B 73

Step-by-step explanation:

Experimental & theoretical probability

Answers

Answer: I don't see the paper very well.

Step-by-step explanation:

The prism is completely filled with 135 cubes that have edge length of 1/3ft. What is the volume of the prism? Enter your answer in the box.

Answers

The volume of the prism which is filled with 135 cubes is 5 cubic feet.

What is the Volume of Cube ?

The volume of a cube defines the number of cubic units, occupied by the cube completely. The unit of volume of the cube is in cubic units such as cu. centimeters, cu. meters, cu. inches, cu. feet, etc.

Here Prism is filled with 135 cubes.

Volume of prism = volume of 135 cubes

                            = 135 X side X side X side

                            = 135 X 1/3 X 1/3 X 1/3

                            = 135 / 27

Volume of prism = 5 cu. feet

Thus, The volume of the prism which is filled with 135 cubes is 5 cubic feet.

Learn more about volume of prism from:

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The dimensions of an isosceles triangle are shown.
28.4 m
25.6 m
12.3 m
*not drawn to scale
To the nearest tenth, what is the area of the triangle?
O A. 157.4 m2
OB. 314.9 m2
OC. 349.3 m2
OD. 363.5 m2

Answers

Answer:

B. 314.9 m2

Step-by-step explanation:

Which of the given set of angles CANNOT form a right triangle?

a
30º, 90º, and 60º

b
90º, 45º, and 45º

c
22º, 22º, and 136º

d
35º, 55º, and 90º

Answers

Answer:

The answer for your question is C. 22°, 22°, and 136°.

Explanation:

A right triangle will always have one angle that is 90°.

All of the other options have a 90° angle, so your answer is C.

Hope this helps!

Find BC in angle ABC
Round to the nearest tenth.

BC=?

Answers

Answer:

BC ≈ 18.7

Step-by-step explanation:

using the sine rule in Δ ABC

[tex]\frac{BC}{sinA}[/tex] = [tex]\frac{AC}{sinB}[/tex] ( substitute values )

[tex]\frac{BC}{sin67}[/tex] = [tex]\frac{20}{sin80}[/tex] ( cross- multiply )

BC × sin80° = 20 × sin67° ( divide both sides by sin80° )

BC = [tex]\frac{20sin67}{sin80}[/tex] ≈ 18.7 ( to the nearest tenth )

suppose there are 30 bacteria in a bottle .the number of bacteria doubles every hour.
how many will there be after 7 hours?

Answers

is given that the number of bacteria doubles every hour.

Therefore, the number of bacteria after every hour will form a G.P.

with first term (a=30) and common ratio (r=2)

∴a

3

=ar

2

=(30)(2)

2

=120

Therefore, the number of bacteria at the end of 2nd hour will be 480.

a

5

=ar

4

=(30)(2)

4

=480

and a

n+1

=ar

n

=(30)(2)

n

Thus the number of bacteria at the end of nth hour will be (30)(2)

n

Cohen mailed a letter on Monday morning. The letter has to travel 12 1/2 miles to reach it's destination.

The letter traveled 2 1/4 miles on Monday and traveled an additional 7 1/12 miles on Tuesday.

How far did the letter travel on Wednesday to reach it's destination?

Answers

Answer:

  2 3/4 miles

Step-by-step explanation:

Remaining miles are found by subtracting miles already traveled from the number that need to be traveled.

__

12 1/2 - 2 1/4 - 7 1/2

= (12 1/2 -7 1/2) -2 1/4

= 5 -2 1/4 = 2 3/4

The letter traveled 2 3/4 miles on Wednesday to reach its destination.

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Answers

Answer:

315°

Step-by-step explanation:

∠HCG = 180° - 60° - 75° = 45°∠DCH = 360° - 180° - 45° = 135°

Finding m∡DHE

∠DCH + ∠HCG + ∠GCF + ∠ECF135° + 45° + 75° + 60°180° + 135°315°

Answer:

m∡DHE = 315°

Step-by-step explanation:

Angles around a point always add up to 360°.

⇒ m∡DHE = 360° - m∡ED

                  = 360° - 45°

                  = 315°

which series of transformation shoes that triangle A is congruent to triangle D

Answers

You didnt put any images

please helpppppp meeeee!

Answers

B. 1 pint
2 cups = 1 pint
4 cups = 1 quart
16 cups = 1 gallon
hope this helps!

Answer:

It's 1 pint

Step-by-step explanation:

If you look up how many cups are in a pint it says 2 and the liquid is filled up to the line of 2 cups

What is the value of ?
Enter your answer in the box.
___cm

Answers

Answer:

5

Step-by-step explanation:

please help! its do by 3:55pm! im only at 20! johns test averages 69,86,100,and 105 what is his average?

Answers

Answer:

90

Step-by-step explanation:

In order to find the average of something, you add all the numbers and then divide it by how many numbers there were.

69+68+100+105=360

360 ÷ 4 = 90

John's average is 90.

Brainliest please?

Jaden is studying abroad for a semester.
He can choose the first semester or second
semester, then choose France, Spain,
Germany, Italy, or Japan.

Answers

Using the Fundamental Counting Theorem, it is found that he has 10 possible options to choose from.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the semester, he has 2 possible options, hence [tex]n_1 = 2[/tex].For the country, he has 5 possible options, hence [tex]n_2 = 5[/tex].

The total number of options is given by:

N = 2 x 5 = 10.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?

Answers

Answer:

15cm²

Step-by-step explanation:

Formula of a triangle:

½ × base × height

= ½ × 5 × 6

= 15 cm²

Hope this helps =)

Answer:

15 cm squared :)

Step-by-step explanation:

Area of triangle: b(h)/2

Now lets solve!!

5(6)/2

30/2

15

Have an amazing day!!

Plerase rate and mark brainliest!!

What is the quotient of 4.56 × 109 by 6.23 × 1011?



The quotient is
times 10 to the
power.

Answers

Answer:

7.319 x 10^-3

Step-by-step explanation:

4.56 * 10^9 / 6.23 * 10^11  = .7319 x 10^-2

Answer:

The quotient is 7.3194 times 10 to the -3 power.

Step-by-step explanation:

Got the question right. EDGE 2022.

What is the difference? startfraction x over x squared 3 x 2 endfraction minus startfraction 1 over (x 2) (x 1) endfraction startfraction x minus 1 over 6 x 4 endfraction startfraction negative 1 over 4 x 2 endfraction startfraction 1 over x 2 endfraction startfraction x minus 1 over x squared 3 x 2 endfraction

Answers

Answer:

choose D

Step-by-step explanation:

x/(x²+3x+2) - 1/[(x+2)(x+1)]

x² + 3x + 2 = x² + 2x + x + 2

= x(x + 2) + (x + 2)

= (x + 2)(x + 1)

= x/[(x+2)(x+1)] - 1/[(x+2)(x+1)]

= (x-1)/[(x+2)(x+1)]

= (x-1)/(x²+3x+2)

Write the equation of a line with a slope of 5 and a y-intercept of (0, 3). Write the equation in slope-intercept form.

Answers

The answer is y=-5x+3

Can someone please help ASAP An online video store charges a monthly fee of $10, plus $2 for each video rental. Which graph below best
represents the relationship between the number of video rentals and the total monthly cost?


Answers

Using linear function concepts, it is found that graph A is the one that best represents the relationship.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, there is a fixed fee of $10, plus a fee of $2 per movie, hence m = 2, b = 10, and the function is given by:

y = 2x + 10.

Due to the y-intercept of y = 10, that is, when x = 0, y = 10, graph A is the one that best represents the relationship.

More can be learned about linear function concepts at https://brainly.com/question/24808124

What is the answer ? Please help

Answers

Answer:

sqrt2/sqrt3; 1/sqrt3; sqrt5/2

Step-by-step explanation:

to solve this equation you can basically put paranthesis squared around all of the options

(sqrt2/sqrt3)^2 becomes simply 2/3

(1/sqrt3)^2 becomes simply 1/3

(pi/3)^2 becomes a decimal that is not rational

[(sqrt5)/2]^2 becomes simply 5/4

the first, second, anad last are all rational

9x10^4 in standard form

Answers

Answer:

90,000

Step-by-step explanation:

So a scientific notation is written as [tex]N*10^k[/tex]

So in this scientific notation its just equivealent to saying

[tex]9*10^4\\9*(10*10*10*10)\\9*10,000\\90,000[/tex]

Which statements are true? select three options. (the formula for the area of a triangle is a = one-halfbh.) bc = 6 cm ac = 5 cm ba = 4 cm the perimeter of triangle abc = 12 cm. the area of triangle abc is one-third the area of triangle def.

Answers

The area of the triangle is the half of the product of base and height then the correct option is A.

What is the triangle?

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Points A, B, and C are midpoints of the sides of the right triangle DEF.

Then the area of the triangle is given as

Area of the triangle = half of the product of base and height

That can be written as

[tex]\rm Area = \dfrac{1}{2} \times b \times h[/tex]

Thus, the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

B,C,D

Step-by-step explanation:

f(x)=2x2+3x−1 and g(x)=3x+4. Find g(f(x)).

Answers

Answer:

6x²+9x+1

Step-by-step explanation:

Check out the attached photo

An investment of $1,500 is earning 7% simple interest each year how much will the investment be worth after one year

Answers

Answer:

1500 * 0.07 = 105

105 + 1500 = 1605

Step-by-step explanation:

The box plots display the same data for the number of crackers in each snack bag, but one includes the outlier in the data and the other excludes it. 4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21 number of crackers in each bag, with outlier a number line goes from 0 to 26. the whiskers range from 4 to 21, and the box ranges from 15 to 20. a line divides the box at 16. number of crackers in each bag, without outlier a number line goes from 0 to 26. the whiskers range from 14 to 21, and the box ranges from 15 to 20. a line divides the box at 17. which statement comparing the box plots is true? both the median and the range changed. both the range and the lower quartile changed. both the median and the interquartile range changed. both the interquartile range and the lower quartile changed.

Answers

Both the median and the range changed, the correct option is A.

What is the median?

Median, in statistics, is the middle value of the given list of data, when arranged in an order.

The data set that contains the outlier is given as:

4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21

The minimum value of the data is: 4

The median or middle quartile i.e. [tex]\rm Q_2[/tex]  is the central tendency of the data and exists in the middle of the data.

The median is: 16

Also, the lower set of data is:

4,14,15,15,16

The lower quartile i.e. [tex]\rm Q_1[/tex]  is the median of the lower set of data.

The  lower quartile i.e. [tex]\rm Q_1[/tex] = 15

Similarly, the upper set of data is:

18, 19, 20, 20, 21

the upper quartile i.e. [tex]\rm Q_3[/tex]  is the median of the upper set of data.

upper quartile i.e. [tex]\rm Q_3[/tex] = 20

Also, the interquartile range is:

[tex]\rm Q_3-Q_1=20-15=5[/tex]

The maximum value of the set is 21.

Range = Maximum value-Minimum value =21 - 4 = 17

As we know that 4 is the outlier of the data as it is the smallest as compared to all the data points.

After removing the outlier the data set is:

14, 15, 15, 16, 16, 18, 19, 20, 20, 21

The minimum value of the set =14

The maximum value of set =21

Range = Maximum value-Minimum value =21-14 = 7

Hence, Both the median and the range changed.

To know more about median and range click the link given below.

https://brainly.com/question/9045470

Find the length of the segment with endpoints at (2, 7) and (8, -1). using the formula below.

Answers

Answer:

10

Step-by-step explanation:

Let (2, 7) = [tex](x_{1} ,y_{1} )[/tex]    and (8, -1) = [tex](x_{2} ,y_{2} )[/tex]

 = [tex]\sqrt{(8-2)^{2} + (-1 -7)^2}[/tex]

= [tex]\sqrt{6^2 +(-8^2)}[/tex]

= [tex]\sqrt{36 + 64}[/tex]

= [tex]\sqrt{100}[/tex]

= 10

The length of the segment with endpoints at (2, 7) and (8, -1) using distance formula is 10 units.

Distance formula is the the formula for calculating the length of a line segment given the coordinates of the endpoints. The formula is given as :

Given the endpoints [tex](x_1,y_1), (x_2, y_2)[/tex]

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given in the question,

[tex](x_1,y_1) = (2,7)\\(x_2, y_2)=(8,-1)[/tex]

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d= \sqrt{(8-2)^2+(-1-7)^2}\\\\d= \sqrt{(6)^2+(-8)^2}\\\\d = \sqrt{36+64} = \sqrt{100} = 10[/tex]

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Which pairs of expressions below are equivalent? (Select all that apply)


5x + 3x − 2y and −2y + 8x


6x − 8x and 3(2x − 4y)


4x − 5y and 5y − 4x


5(2x − 3y) and 10x − 3y


x + y + x + y and 2( x + y )

Answers

Answer:

5x+3x-2y and -2y+8x

X+y+X+y and 2(X+y)

Use the Pythagorean Theorem to find the missing side of the right triangle:

Answers

Answer:

9.165

Step-by-step explanation:

Pythagorean Theorem implies a^2 + b^2 =c^2

AC= hypotenus

AB= 4

CB= ?

10^2=4^2+CB^2

CB= √10^2-4^2

    = 9.165

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