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serg [7]
3 years ago
8

The volume of a cone is 251.2 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the

nearest inch? Use pi = 3.14. (5 points)
Mathematics
2 answers:
Fantom [35]3 years ago
7 0
251.2 = \frac{1}{3} (3.14)(r^2)(15)
251.2 = \frac{1}{3} (47.1) (r^2)
251.2 = (15.7)(r^2)
251.2 ÷ 15.7 = 16 15.7 ÷ 15.7 = 1
16 ≈ r^2
\sqrt{16}  \sqrt{r^2}
4 ≈ r
Answer: the radius is 4 inches
matrenka [14]3 years ago
7 0

4 would be the radius. Hope this helped!

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melisa1 [442]

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2. When we read the problem it says she spent half of her allowance on mini golf. The half is very important. She earns $20 from cleaning her parent’s car and ends up with $32 all you do is subtract the $20 from $32 because it’ll leave you with 1/2 the money she began with (32-20=12). Then she she already spent half of the money you can either add 12 or multiply the 12 by 2 to get your answer (12+12=24 or 12•2=24).

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4 0
3 years ago
What is the product of (y + 3) and (7y – 1)?
Lorico [155]

Answer: =7y^2+20y−3

Step-by-step explanation:

4 0
3 years ago
Guengle works in urban landscape design a truck arrived pouring a cone shaped pile of gravel six feet high with a diameter at th
Dennis_Churaev [7]

Answer:

105.56\ ft^3 of gravel was used.

Step-by-step explanation:

Given that,

The height of a cone, h = 6 feet

The diameter of the base of cone, d = 8.2 feet

Radius, r = 4.1 feet

We need to find the amount of gravel was delivered. The volume of a cone is given by :

V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times 4.1^2\times 6\\\\V=105.56\ ft^3

So, 105.56\ ft^3 of gravel was used.

8 0
3 years ago
For any value of x, the sum <br> 3<br> ∑ k(2x-1) <br> k=0<br> is equivalent to
MArishka [77]

The equivalent value of the sum for any value of "x" is 12x - 6

<h3>How to find the sum of functions?</h3>

Given the sum of the expression as:

3

∑ k(2x-1)

k=0

We need to take the sum of the function at the point where k = 0 to 3

3

∑ k(2x-1) = 0(2x-1) + 1(2x - 1) + 2(2x-1) + 3(2x - 1)

k=0

3

∑ k(2x-1) = 2x-1+4x-2+6x-3

k=0

3

∑ k(2x-1) = 12x - 6

k=0

Hence the equivalent value of the sum for any value of "x" is 12x - 6

Learn more on sum functions here: brainly.com/question/24295771

8 0
2 years ago
A triangle has the following side lengths: x - 2, x, and 3x + 1. Another triangle has the following side lengths: 2x - 5, x + 4,
notka56 [123]

we know that

Perimeter of a triangle is equal to

P=a+b+c

where

a,b and c are the length sides of the triangle

<u>Find the perimeter of the triangles</u>

<u>Triangle N 1</u>

P=(x-2)+(x)+(3x+1)-------> P=5x-1

<u>Triangle N 2</u>

P=(2x-5)+(x+4)+(6x-7)------> P=9x-8

equate the perimeters

5x-1=9x-8--------> 9x-5x=-1+8-------> 4x=7

x=7/4------> x=1.75

therefore

the answer is

x=1.75

5 0
3 years ago
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