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Harlamova29_29 [7]
3 years ago
5

If a cone has a height of 8 inches and a side measurement of 10 inches, what is the radius of its base?

Mathematics
1 answer:
kiruha [24]3 years ago
5 0

Answer:

r = 6 inch

Step-by-step explanation:

Given that,

The height of a cone, h =8 inches

The slant height of the cone, l = 10 inches

We need to find the radius of the base. The relation between height, radius and the slant height of the cone is given by :

r=\sqrt{l^2-h^2} \\\\r=\sqrt{10^2+8^2} \\\\r=6\ inch

So, the radius of its base is equal to 6 inches.

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How many solutions does the following equation have?
IrinaK [193]
Answer:
Exactly one solution

Explanation:
The first step we need to take to find the answer is to find the value of y.

7(y+3)=5y+8
Expand the parentheses
7y+21=5y+8
Subtract both sides by 21
7y+21-21=5y+8-21
7y=5y-13
Subtract both sides by 5y
7y-5y=5y-13-5y
2y=-13
Divide both sides by 2
2y/2=-13/2
y=-6.5

Now, we plug y back into the original equation.

7(y+3)=5y+8
7(-6.5+3)=5(-6.5)+8
Expand the parentheses
-45.5+21=-32.5+8
-24.5=-24.5

Because both sides of the equation is equal and the equation is true, we can conclude that the equation has one solution.

I hope this helps!
7 0
3 years ago
Fire Fighters are attempting to rescue people from the 3rd floor of a building. The
Daniel [21]

Answer:

If it's where they can get to the building I think it's 15

Step-by-step explanation:

Cause 10 plus 5 and if that can reach where they are able to get in I'd assume it would be 15

I'm not a genius or anything so don't rely on my answer

7 0
3 years ago
The original price of a plane ticket was reduced by $150. if p=the ticket’s original price in dollars, which algebraic expressio
mariarad [96]

Answer:

Reduced price = $ ( p - 150)

Step-by-step explanation:

Let the original price of plane ticket be $p

Price reduced in plane ticket  = $150

So the amount actually need to pay for a plane ticket will be given by:

Actual reduced price of plane ticket = $p - $150

i.e Algebraic expression for reduced price is:

Reduced price = $ (p - 150)

3 0
3 years ago
Expand ( 2 − x ) 5 and identify each part of the expression.
dimaraw [331]
You use distributive property. So (5 x 2)-(5 x x)= 10 - 5x.
8 0
3 years ago
What is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6
Bogdan [553]

\dfrac{DI}{DR}=\dfrac{DE}{DZ}\\\\\dfrac{DI}{6+2.8}=\dfrac{3}{6}\\\\6DI=26,4\\DI=4,4

4 0
3 years ago
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