Answer:
forty two and ninety seven thousandths
Step-by-step explanation:
the point is the and but you could just say point
Answer:
Lateral surface area = 4 (1/2 × 705 × 588.30) = 829503 ft²
Step-by-step explanation:
The pyramid is a square base pyramid. The height = 471 ft. The sides of the square base pyramid = 705 ft.
To calculate the lateral area of the square base pyramid we have to know the slant height. The slant height can be known by using Pythagoras theorem to solve for it.
c² = a² + b²(Pythagoras theorem)
base = b = 705/2 = 352.50 ft
c² = 352.50² + 471²
c² = 124256.25 + 221841
c² = 346097.25
square root both sides
c = √346097.25
c = 588.300305966
c ≈ 588.30 ft
slant height = 588.30 ft
Lateral surface area = sum of area of the 4 triangular faces
lateral surface area = 4 (1/2 × base × height)
Lateral surface area = 4 (1/2 ×705 × 588.30) = 829503 ft²
Answer:
The radius is 6.1 cm
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
There is a typo in the problem.
We know the volume
950 = 4/3 (3.14) r^3
Multiply each side by 3/4
3/4 *950 = 3.14 r^3
712.5 = 3.14 r^3
Divide each side by 3.14
712.5/3.14 = r^3
226.910828 = r^3
Take the cube root of each side
226.910828 ^ (1/3) = r^3 ^ 1/3
6.099371323 = r
The radius is 6.1 cm
Answer:
Step-by-step explanation:
We have two random variables X and Y. 
and given that X=x, Y has uniform distribution (0,x)
From the definition of the uniform distribution we have the densities for each random variable given by:
And on this case we can find the joint density with the following formula:
And multiplying the densities we got this:
Now with the joint density we can find the expected value E(Y|x) with the following formula:
And replacing we got:
Remember
difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
and the undistributiv propeoryt
ab-ac=a(b-c)
so we have
undistribute and factor
cancel out the one ( (u-2)/(u-2)=1)
is result
