Volume of Square Based Pyramid = (1/3)*(Side Length of Base)^2 *(height)
the given information are:
Volume = 120
height = 10
plug this in and get:
120 = (1/3)*(side)^2 *(10)
12 = (1/3)*(side)^2 [divided both sides by 10]
36 = (side)^2 [multiplied both sides by 3]
(side) = 6 [square rooted both sides]
Therefore the Side Length of the Base is 6 meters.
Answer:
8
Step-by-step explanation:
A scale factor of 4/5 means that each side length or distance is multiplied by 4/5. 10*4/5=8. Hope this helps!
Problem 4
x = interior angle
y = exterior angle
x = 3y since "each interior angle...is three times the measure of each exterior angle"
The interior and exterior angles are supplementary, meaning,
x+y = 180
3y+y = 180
4y = 180
y = 180/4
y = 45
So we know that
n = 360/y
n = 360/45
n = 8
You are correct in saying that this is an octagon
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Problem 5
x = measure of missing angles
Find the sum of the interior angles
S = 180*(n-2)
S = 180*(5-2)
S = 540
The five interior angles add up to 540 degrees
Add up the five angles, set equal to 540, then solve for x
90+90+90+x+x = 540
2x+270 = 540
2x+270-270 = 540-270
2x = 270
2x/2 = 270/2
x = 135
So you have the correct answer of choice C) 135 degrees
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Problem 6
S = 180*(n-2)
S = 180*(6-2)
S = 180*4
S = 720
You have the correct answer. Nice work on all three correct answers.
Answer: D
Step-by-step explanation: yes, because with each simulation, as the number of trials increase, the experimental probability gets closer and closer to the theoretical probability of
1/4.
You plug in 25 for "P", and 7 for "a" and "b", then you find "c". The answer is 11.
