Answer: 3528.25
Step-by-step explanation:Make a sideview sketch
you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°
the side opposite the 3° angle is 1000
by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)
x/sin24 = 1000/sin3
x = 1000sin24/sin3
let the height of the mountain be h
sin 27 = h/x
h = x sin27 = (1000sin24/sin3)(sin27)
= 3528.25
Answer:
Option "D" is the correct answer to the following question.
Step-by-step explanation:
Given:
Return on U.S.Treasury bills = 4%
Potential return on stock investment = 10%
Find:
Additional risk of investing in the stock (Risk premium) = ?
Computation:
⇒ Additional risk of investing in the stock (Risk premium) = Potential return on stock investment - Return on U.S.Treasury bills
⇒ Additional risk of investing in the stock (Risk premium) = 10% - 4%
⇒ Additional risk of investing in the stock (Risk premium) = 6%
Answer:
12,000 m³
Step-by-step explanation:
- Area of it's base = 900 m²
- Height of the pyramid = 40 m
The volume of a pyramid = 1/3 × area of base × height
= 1/3 × 900 × 40
= 300 × 40
= 12,000 m³
Answer:
39. r = 13.4
40. m = 12
Step-by-step explanation:
39. Given the equation, 
, to solve for r, the following are the correct steps to take to arrive at the solution:
(given)
Add 0.8 to both sides of the equation (addition property of equality)
(this is where the error occurred.)
40. The correct steps to take in solving the equation, 
is as follows:
(given)
Multiply both sides by 3 (multiplication property of equality)
(this is where the error occurred. This is what we should have at this line/step)
(dividing both sides by -1)
Answer:
Volume of cylinder =989 ft cube
Step-by-step explanation:
<u>Volume of cylinder</u>
Volume V = πr²h
r - radius and h - height
It is given that,
The radius of a cylindrical construction pipe is 1.5ft and
Length of pipe = 14 ft
<u>To find volume of cylinder</u>
Volume V = πr²h
V = 3.14 x 1.5 x1.5 x 14 =989.1 ≈ 989 ft cube
