Answer:
The wire is approximately 42feet long
Step-by-step explanation:
We can mentally sketch out the shape that is formed between the guy wire and the antenna tower. This is simply a right-angled triangle with the opposite side being the height of the antenna (30 feet). The adjacent side is the distance on the ground between the point where the wire was fastened and the base of the antenna.
The hypotenuse side is the length of the wire we are looking for.
Parameters are given as:
Opposite : 30ft
Adjacent: 30ft
Hypotenuse: x feet
The hypotenuse = 
Hypotenuse =
Answer:
63.7999... (repeating) fps
Step-by-step explanation:
Feet per second (fps) per one (1) mph is 1.4666... repeating
so 43.5 * 1.46666... = 63.7999.. repeating
hope this helps:)
9514 1404 393
Answer:
- 0 ≤ m ≤ 7
- 0.4541 cm/month; average rate of growth over last 4 months of study
Step-by-step explanation:
<u>Part A</u>:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
<u>Part B</u>:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
__
<u>Part C</u>:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.
5p-4p-8=-2+3
Combine like terms
p-8= 1
Add 8 to both sides to isolate p
p=9
Final answer: 1 solution only, p=9
Peter reflecting trapezoid ABCD across the y-axis would not change the degree measurement of angle A
The degree measurement of angle A is 115 degrees
<h3>How to determine the degree measurement of angle A?</h3>
From the question, we have:
A = 115 degrees
B = 65 degrees
The transformation is a reflection across the y-axis
Reflection is a rigid transformation; and it does not change the angle measure or side lengths.
After the transformation; we have:
A = 115 degrees
B = 65 degrees
Hence, the degree measurement of angle A is 115 degrees
Read more about transformation at:
brainly.com/question/4289712
