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Ronch [10]
3 years ago
10

A right cone with a radius of 4 inches and a square pyramid both have a slant height of 5 inches. Both solids have the same surf

ace area. Find the length of a base edge of the pyramid. Round your answer to the nearest hundredth.
Mathematics
1 answer:
Masteriza [31]3 years ago
8 0
The surface area of the cone is given by:
SA=πrl
Thus the surface area of the cone will be:
SA=π×4×5
SA=20π=63.932

Surface area of the pyramid is given by:
SA=1/2×4×(b×l)
thus the base length will be:
63.932=10l
thus
l=6.3932 in

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The rectangle below has an area of x^2 - 9 square meters and a width of x - 3 meters.
Rama09 [41]

Answer:

x+3

Step-by-step explanation:

Area of a rectangle is L\cdot W.

We know the width, W, is x-3 and we know the area is x^2-9.

Inputting this in our formula above we get:

x^2-9=L(x-3)

L is a an expression such that when you multiply it to (x-3) gives you (x^2-9).

x^2-9 is a difference of squares and can be factored using:

a^2-b^2=(a-b)(a+b).

x^2-9=(x-3)(x+3).

So L=x-3 and W=x+3.

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3 years ago
Find the y-coordinate of the y-intercept of the polynomial function defined below f(x)=2x(x^2+3)
laila [671]

Answer:

y-intercept is (0,0). Mark brainliest?

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stich3 [128]

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Step-by-step explanation:

8 0
3 years ago
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Simple Algebra Equation help.
Ivan

Answer:

There are 3 adult tickets and 7 child tickets

Step-by-step explanation:

You are very close.

Let x = the number of adult tickets

Let y = number of child tickets

24.95x+ 15.95y = 186.50

The total number of tickets is 10

x+y =10

Subtract y from each side

x+y-y = 10-y

x =10-y

Substitute this into the first equation

24.95x+ 15.95y = 186.50

24.95(10-y) +15.95y = 186.50

Distribute

249.5 - 24.95y +15.95y =186.5

Combine like terms

249.5 - 9y = 186.50

Subtract 249.5 from each side

249.5-249.5 - 9y = 186.50-249.5

-9y =-63

Divide each side by -9

-9y/-9 = -63/-9

y =7

Now we need to find x

x+y =10

x+7 =10

Subtract 7 from each side

x+7-7 =10-7

x =3

There are 3 adult tickets and 7 child tickets

3 0
4 years ago
Find the sum of: <br> (2×3 - 7×2+ 10× - 8) ÷ (× - 2) <br><br>with step by step explanation <br>​
jonny [76]

Answer:

-8±10x

Step-by-step explanation:

you will follow BODMAS

B=bracket

O= off

D=division

M=multiplication

A=addition

S=subtraction

2×3=6

7×2=14

[6-14±10x-8]÷[x-2]

14±8=22

6-22=-16

[-16±10x]÷[x-2]=-8±10x

4 0
3 years ago
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