Answer: The correct answer is B. 523.3...cm^3
Step-by-step explanation:
4/3*pi*r^3 is the formula
first, divide the diameter by 2 to get the radius, now, you will begin solving.
4/3*5^3*3.14
5*5*5=125
4/3*125*3.14
125*3.14=392.5
4/3*392.5
523.3...
9514 1404 393
Answer:
(b) 112.2 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
For the given geometry, this becomes ...
tan(65°) = (height above eye level)/(50 ft)
Then we have ...
(height above eye level) = (50 ft)tan(65°) = 107.2 ft
Adding the height of eye level will give us the height of the building.
building height = (eye level height) + (height above eye level)
building height = (5 ft) + (107.2 ft)
building height = 112.2 ft
Answer: 56 degree
Step-by-Step Explanation:
Let measure of unknown angle be ‘x’
One angle = 68 degree
Sum of all angles is 180 => 68 + 2x = 180
Therefore,
68 + 2x = 180
2x = 180 - 68
2x = 112
x = 112/2
=> x = 56
Therefore, the measure of the missing angles is 56 degrees each.
The answer is 3 and 3.16227766017
We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 
. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is 
, where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is 
. Since function is reflected about x-axis, so our function will be 
.
Let us find the value of b.
Upon substituting our given values in general cosine function, we will get:
Therefore, our required function would be .
