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2 years ago

HELP? The two models shown have the same volume. Complete the equation and expression below about the volume of each figure.

Mathematics

2 answers:

Andrej [43]2 years ago

6 0

36+12=48

48-16=32

ive completed that lesson

Fittoniya [83]2 years ago

5 0

Answer : The volume blue prism in Model 1 is, $32in^3$

Step-by-step explanation :

As we are given that:

Volume of Model 1 = Volume of Model 2

Given:

Volume of blue prism in Model 2 = $36in^3$

Volume of orange prism in Model 2 = $12in^3$

Volume of orange prism in Model 1 = $16in^3$

Now we have to calculate the total volume of Model 2.

Total volume of Model 2 = $36in^3+12in^3$ = $48in^3$

Now we have to calculate the volume blue prism in Model 1.

Volume of Model 1 = Volume of Model 2

Volume of orange prism in Model 1 + Volume blue prism in Model 1 = Total volume of Model 2

$16in^3$ + Volume blue prism in Model 1 = $48in^3$

Volume blue prism in Model 1 = $48in^3-16in^3$

Volume blue prism in Model 1 = $32in^3$

Thus, the volume blue prism in Model 1 is, $32in^3$

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Instructions: Find the surface area of the figure below. Round your answers to the nearest tenth, if necessary.

Y_Kistochka [10]

The surface area of the figure given is of: 61.3 yd².

<h3>What is the combined surface area of a figure?</h3>

The combined surface area of a figure is the area of each figure.

This figure is composed by:

A circle of radius 3 yd.

A triangle with base 6 yd and one leg 11.4 yd.

The area of the circle is given as follows:

$A = \pi r^2 = \pi \times 3^2 = 9\pi$

For the triangle, we need to find it's height, which is the leg of a right triangle, in which one of the sides is 3 and the hypotenuse is 11.4, hence:

h² + 3² = 11.4²

$h = \sqrt{11.4^2 - 3^2}$

h = 11 yd.

Hence the area of the triangle is:

A = 0.5 x 6 x 11 = 33 yd²

The surface area of the figure is:

9pi + 33 yd² = 61.3 yd².

More can be learned about the surface area of at brainly.com/question/21208177

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6 0

2 years ago

Please help ill mark brainliest

anyanavicka [17]

The value of the missing length is 20

Let the missing length be x

From Parallel lines and transversal theorem, we have that

If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

Then, we can write that

$\frac{x}{15} =\frac{16}{12}$

∴ $x = \frac{15\times 16}{12}$

x = 20

Hence, the value of the missing length is 20

Learn more here: brainly.com/question/24258397

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2 years ago

2x2 − 4x = 0 A. 0, -4 B. 0, -2 C. 0, 2 D. 2, 4

leonid [27]

Answer:

Step-by-step explanation:

We see that we can factor out 2x from the equation! So our equation becomes 2x(x-2) = 0.

Since the only way for things to multiply to equal to zero is if at least one of the numbers is 0.

So if x-2 is the 0, then x = 2.

If 2x is the 0, then x = 0.

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