Answer:
V ≈ 8.67x10^7 ft^3
Step-by-step explanation:
We know that the volume of a pyramid is V= (lwh)/3
Since it is a square pyramid, it means that the length and the width are the same:
Length=755.9 feet
Width=755.9 feet
Height=455.4 feet
So, the volume is :
V = [(755.9)(755.9)(455.4)]/3
V = 86736214.158 ft^3
V ≈ 8.67x10^7 ft^3
Hope this helps!
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Answer: f(x) = -0.016x² + 1.6x
Step-by-step explanation:
If the lenght of the road over the arch is 100m, we can consider a coordinate plane and say that the road starts at point (0,0) and finishes at (100,0). The vertice of the parabola is at point (50,40), because the maximum height is 40 and it is always in the middle point of the roots.
So, we have
(0,0) (50,40) (100,0)
A quadratic function is always on the form: f(x) = ax² + bx + c
0 = a0² + b0 + c
40 = a50² + b50 + c
0 = a100² + b100 + c
0 = a0² + b0 + c → c = 0 ∴
40 = a50² + b50
0 = a100² + b100
_________________________
2500a + 50b = 40 (*2)
10000a + 100b = 0
_________________________
5000a + 100b = 80
10000a + 100b = 0 (-)
__________________________
-5000a = 80
-a=80/5000
a=-0.016
∴
2500a + 50b = 40
2500.(-0.016) + 50b = 40
-40 + 50b = 40
50b = 80
b = 80/50
b = 1.6
This way f(x) = -0.016x² + 1.6x
Answer:
7x-20=2x-3(3x+2)
We move all terms to the left:
7x-20-(2x-3(3x+2))=0
We calculate terms in parentheses: -(2x-3(3x+2)), so:
2x-3(3x+2)
We multiply parentheses
2x-9x-6
We add all the numbers together, and all the variables
-7x-6
Back to the equation:
-(-7x-6)
We get rid of parentheses
7x+7x+6-20=0
We add all the numbers together, and all the variables
14x-14=0
We move all terms containing x to the left, all other terms to the right
14x=14
x=14/14
x=1
Step-by-step explanation:
Answer:
Step-by-step explanation:first you would take out the r and then figure out what number goes into both 10and 60 and that number is 5
1) The probability of getting a queen is 187/10000 which is 0.0187 = 1.87%
2) The probability is 449 / 479 which is 0.937 = 93.7%
You may need to round the answers. It doesn't say if they need to be rounded or not.
