Answer:
One
Step-by-step explanation:
Set each equations equal to each other
Find the discrimant.
This means there is one real solution. Since the discramnt equal 0.
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
1 answer:
Formula
The formula for a pyramid is V = 1/3 * B * h
B = s * s of the square bottom
s = 10
B = 10*10
B = 100 square feet.
Height.
The height is not given. You find it using a^2 + b^2 = c^2
a = 1/2 length of the side of the base
b = height
c = 13^2
If you draw a line to the midpoint of the base form the base of the height, you get 5. You have to read that a couple of times. I don't know if you can see this or not.
AC = 10
B is the midpoint of AC that means that BD = 5
BH = 13 Given
We need HD
Use the pythagorean theorem
HD^2 + BD^2 = BH
HD^2 + 5^2 = 13^2
HD^2 + 25 = 169
HD^2 = 169 - 25
HD^2 = 144 Take the sqrt of both sides.
HD = sqrt(144)
HD = 12
Find the Volume
V = 1/3 * B * H
V = 1/3 * 100 * 12
V = 1/3 * 1200
V = 400
Answer
V = 400 square feet <<< answer
The formula for a pyramid is V = 1/3 * B * h
B = s * s of the square bottom
s = 10
B = 10*10
B = 100 square feet.
Height.
The height is not given. You find it using a^2 + b^2 = c^2
a = 1/2 length of the side of the base
b = height
c = 13^2
If you draw a line to the midpoint of the base form the base of the height, you get 5. You have to read that a couple of times. I don't know if you can see this or not.
AC = 10
B is the midpoint of AC that means that BD = 5
BH = 13 Given
We need HD
Use the pythagorean theorem
HD^2 + BD^2 = BH
HD^2 + 5^2 = 13^2
HD^2 + 25 = 169
HD^2 = 169 - 25
HD^2 = 144 Take the sqrt of both sides.
HD = sqrt(144)
HD = 12
Find the Volume
V = 1/3 * B * H
V = 1/3 * 100 * 12
V = 1/3 * 1200
V = 400
Answer
V = 400 square feet <<< answer
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Step-by-step explanation: