Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
__
<h3>base area</h3>
Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
<h3>prism volume</h3>
The prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
1/2 of 1/3 of 1/4 of 80ft
= 1/2 of 1/3 of (1/4 of 80ft)
= 1/2 of 1/3 of 20ft
= 1/2 of (1/3 of 20ft)
= 1/2 of (20/3) ft
= 20/6 ft
> 18/6 ft
= 3ft
So the order was longer than 3 feet.
Answer
78ft
Explanation
Step by step
Answer:
There are 210 ways
Step-by-step explanation:
The number of ways or combinations in which we can select x elements from a group of n elements where the order doesn't matter can be calculated as:
So, we have 10 teaching assistants and we need to choose 4 (one assistant per question) to grade each question. It means that n is equal to 10 and x is equal to 4.
Therefore, the number of ways that the assistants can be chosen to grade the exam are calculated as:
Z = 0.80 just to the right of z= 0. Note that the area to the right of z=0 is 0.5. The area to the right of 0.80 is smaller.
One way of answering this question is to use a calculator:
normalcdf(0.80, 1000) = 0.212 (answer)