Use the drop-down menu to create true statements. If the graph of an inverse passes the , you know that the inverse is a functio
1 answer:
You might be interested in
Answer:
A) A[p(t)] = 36πt²
B) 7234.56 square units
Step-by-step explanation:
<u>Given functions</u>:
<u>Part A</u>
To find the area of the circle of spilled paint as a function of time, substitute the function p(t) into the given function A(p):
<u>Part B</u>
Given
- t = 8 minutes
- π = 3.14
Substitute the given values into the equation for A[p(t)} found in part A:
Therefore, the area of spilled paint after 8 minutes if 7234.56 square units.
Answer:
The length of the pole to the nearest feet = 36 ft
Step-by-step explanation:
Let the length of the pole be L
The image of this question is attached to this solution.
From the image,
The two other angles in the triangle formed by the stick, its shadow and the line of angle of elevation can be found.
The first angle to the right of angle of elevation = 90° - 8° = 82°
And the third angle can be found, using the sum of angles in a triangle.
Sum of angles in a triangle = 180°
The third angle = 180° - (70° + 82°) = 28°
Using the sine rule, we can then obtain the length of the pole.
Sine rule
(a/sin A) = (b/sin B) = (c/sin C)
For our question
(L/sin 70°) = (18/sin 28°)
L = (18 × sin 70°)/(sin 28°)
L = 36.03 ft = 36 ft
