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alexira [117]
2 years ago
8

Find the volume of a right circular cone that has a height of 11.4 in and a base with a radius of 5.1 in. Round your answer to t

he nearest tenth of a cubic inch.
Mathematics
1 answer:
ella [17]2 years ago
5 0

Answer:

Step-by-step explanation:

h=11.4 in

r=5.1 in

v=3.14*r^2*(h/3)

V=3.14*5.1^2*(11.4/3)=3.14*26.01*3.8=310.35

You might be interested in
Equiangular polygon has how many sides exterior angle is 25
Softa [21]
If the exterior angle is 25o then the interior angle is its supplement.
The interior angle = 180 - 25 = 155 degrees. All angles are equal in the interior.
The sides aren't.

I'm hoping you get an answer besides mine. I can take you so far.
The formula for an interior angle is 

180(1 - 2/n) = Interior angle. When you solve this you get
180(1 - 2/n) = 155
1 - 2/n = 155/180
1 - 2/n = 0.86111111
- 2/n = 0.8611111 - 1
2/n = 0.13888888
2 / 0,1388888 = n
n = 14.4

You can google equiangular polygon theorem to see where I got the formula. The problem is that I really don't know how to interpret the answer. It looks like you have 14 conguent sides and 1 that is 0.4 left over. The figure might still be equiangular.
5 0
3 years ago
Twin brothers, Billy and Bobby, can mow their grandparent’s lawn together in 63 minutes. Billy could mow the lawn by himself in
Pepsi [2]

Answer:

<h2>140 minutes</h2>

Step-by-step explanation:

this problem focuses on the combined work rate

both can finish the work under 63 minute

let bobby mow the lawn in x minute

Billy will then mow the lawn in x-25 minutes

Let the completed job = 1 (a mowed lawn)

we can now apply the combined work formula for the two boys as

\frac{63}{x}+\frac{63}{x-25}=1

multiplying through by x(x-25 )we have

63(x-25)+63x= x(x-25)

open bracket we have

63x-1575+63x= x^2-25x

rearranging and collecting like terms we have

0=x^2-25x-63x-63x+1575 \\\\0=x^2-151x+1575 \\\\x^2-151x+1575=0

we can now use the quadractic formula

x=\frac{-b\frac{+}{} \sqrt{b^2-4ac} }{2a}

 

a= 1

b= -151

c= 1575

x=\frac{-(-151)\frac{+}{} \sqrt{151^2-4*1*1575} }{2*1}

x=\frac{-(-151)\frac{+}{} \sqrt{22801-6300} }{2} \\\\x=\frac{-(-151)\frac{+}{} \sqrt{16501} }{2} \\\\x=\frac{-(-151)\frac{+}{} 128.45}{2} \\\\

x=\frac{-(-151)+128.45}{2} \\\\\x=\frac{279.45}{2} \\\\x=139.72 \\\\\\x=\frac{-(-151)-128.45}{2}\\\\x=\frac{151-128.45}{2}\\\\x=\frac{22.55}{2}\\\\x=11.27

the first answer x= 139.72 approximately 140 minutes mins is correct for  Bobby's time

let us check

\frac{63}{140}+\frac{63}{140-25}=1\\\\\\0.45+\frac{63}{115} =1\\\\0.45+0.5478=1\\0.997 =1

we can see that the solution approximates to 1

8 0
3 years ago
Is x=-4 and y=3 a solution of the equation 2x -5y=-23
pishuonlain [190]

Answer:

Yes

Step-by-step explanation:

First you pull them into the equation

2(-4)-5(3)=-23

Distribute

-8-15=-23

-23=-23

7 0
2 years ago
Read 2 more answers
Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).
OLga [1]
If you have double functions, solve the one in the parentheses first.

in f(g(2)), solve g(2) first.

So, substitute 2 in the function.

g(x) = x^2 - 6x - 7

g(2) = 2^2 - 6(2) - 7 = -15

If you substitute -15 in f(g(2)), it becomes f(-15).

f(x) = x + 8

f(-15) = -15 + 8

f(-15) = -7

The answer for f(g(2)) is -7.
3 0
3 years ago
Convert 5600 dm to m
emmainna [20.7K]
560 meters. Hope this helps!
5 0
2 years ago
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