Answer circled questions, please

Mathematics

2 answers:

sergiy2304 [10]3 years ago

5 0

Here are my answers, hope it helps :)

Harlamova29_29 [7]3 years ago

3 0

#1: 4(x + 3)

We just have to distribute the 4 throughout the rest of the problem. So, (4 times x) + (4 times 3) = 4x + 12

#2: -7(4 - y)

This is the same concept, but with a negative sign at the front. So, (-7 times 4) - (-7 times y) = -28 + 7y

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3 years ago

Read 2 more answers

The radius is 6 and the height is 15 what is the volume in terms of pi the shape is a cone

Alenkinab [10]

Answer:

565.49 or if rounded to the nearest tenth, 565.5

Explanation:

The formula for finding the volume of a cone is V=1/3Bh

B = pi times the radius squared

h = height

Substitute 6 for r and 15 for h.

V= 1/3· $\pi$ ·( $6^{2}$ )·15

Multiply.

V= 565.49 or 565.5 rounded to the nearest tenth.

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3 years ago

The prism has a volume of 120 cm3. What would the volume of the prism be if each dimension were halved? cm3 Triangular prism wit

Citrus2011 [14]

The volume of a triangular prism is V = 1/2 x a x c x h where a is height of the triangle, c is the base of the triangle and h is the height of the prism.
120 = 1/2 x a x c x h; we write a from the previous equation in terms of c and h thus,
a = 240 / ( c x h)
If the dimensions where halved then a = a/2 ; c = c/2 ; h=h/2
We use the volume formula again and substitute the given values to find the new volume,
V = 1/2 x a/2 x c/2 x h/2
Substitute the previously determined a term,
V = 1/2 x (240/2ch) x c/2 x h/2
We cancel and evaluate the constants therefore the new volume is,
V= 15 cm^3

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