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3 years ago

The model represents an equation. What value of X makes the equation true?

Mathematics

1 answer:

Anettt [7]3 years ago

8 0

Answer:

D. 3

Step-by-step explanation:

Assuming the model represents an equation, the following can be deduced:

On the left side of the equation, the model shows we have 3 "x's", and 6 "1's". Let this represent:

3x + 6

On the right side of the equation, we have 2 "x's" and 9 "1's". Let this represent:

2x + 9.

The model would represent the equation below:

$3x + 6 = 2x + 9$

Solve for x

$3x + 6 - 2x = 2x + 9 - 2x$ (Subtracting 2x from both sides of the equation)

$x + 6 = 9$

$x + 6 - 6 = 9 - 6$ (subtracting 6 from both sides of the equation)

$x = 3$

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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

Answer for brainliest what is the volume

lisov135 [29]

Answer:

The answer is 36

Step-by-step explanation:

To find the volume you:

$multiply \: (6 \times 3 \times 2) = 36{cm}^{3}$

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2 years ago

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What is the median of the following numbers? 1, 2, 2, 8, 9, 14

sesenic [268]

Answer: 5

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

Notice that our data set is already written from least to greatest.

1, 2, 2, 8, 9, 14

Notice that in this data set, there is no middle number directly because 2 and 8 fall directly in the middle. In this situation, we take the average of these two middle numbers and divide their sum by 2.

Since 2 and 8 are the numbers that appear in the middle, we add them.

2 + 8 gives us 10.

Now we divide 10 by 2 to get 5.

So the median of this data set is 5.

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3 years ago

Two athletic directors purchased tennis balls and baseballs at the same store. The first athletic director bought 5 tennis balls

Setler79 [48]

The price of a baseball is $3.75. This problem can be solved using an elimination between two equation with two variables in it which are, 5x + 3y = 23.75 and 2x + 7y = 31.25. First, multiply the first equation by 2 and the second equation by 5 which resulting in 10x + 6y = 47.5 and 10x + 35y= 156.25 and then eliminate the x variable resulting in 29y = 108.75. The baseball price can be acquired from this equation (y = 3.75) because y variable represents the baseball price.

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3 years ago

A sector with a radius of 6 cm has a central angle measure of 4pi/9 (in radians). What is the area of the sector?

Usimov [2.4K]

Answer:

The area of the sector is 25.1327 cm²

Step-by-step explanation:

The area of a sector of circunference delimited by an angle in radians can be calculated by using the formula below:

area = (angle*r²)/2

area = [(4*pi/9)*(6)²]/2

area = [(4*pi/9)*36]/2

area = (144*pi/9)/2

area = 144*pi/18

area = 8*pi

area = 25.1327 cm²

The area of the sector is 25.1327 cm²

8 0

3 years ago