5 miles is 8km. Convert 68km to miles
1 answer:
You might be interested in
Answer:
The distance from hot air balloon to the ground .
Step-by-step explanation:
Labelled diagram of given scenario is shown below.
Given that,
An angle of elevation of Hot air balloon by Angie is °.
When she stepped back then angle of elevation was
°.
Height of Angie is .
To find: How far off the ground is a hot air balloon.
So, from figure
Height of Angie
In triangle Δ,
⇒
⇒ ....................(1)
Now, In triangle Δ
⇒
⇒
Here, substituting the value from Equation (1) we get,
⇒
⇒
⇒
Now, finding the value of from equation (1)
Therefore Length of =
.
Hence,
The distance from hot air balloon to the ground .
Answer:
- <u>Function</u>:
- <u>Range</u>: option D. 20 ≤ x ≤ 27.37
Explanation:
The function must meet the rule that the pay starts at $20 and it increases each hour by 4%.
A table will help you to visualize the rule or pattern that defines the function:
x (# hours) pay ($) = p(x)
0 20 . . . . . . . . [starting pay]
1 20 × 1.04 . . . [ increase of 4%]
2 20 × 1.04² . . . [increase of 4% over the previous pay]
x 20 × 1.04ˣ
Hence, the function is:
The range is the set of possible outputs of the function. To find the range, take into account that this is a growing exponential function, meaning that the least output is the starting point, and from there the output will incrase.
The choices name x this output. Hence, the starting point is x = 20 and the upper bound is when the number of hours is 8: 20(1.04)⁸ = 27.37.
Then the range is from 20 to 27.37 (dollars), which is represented by 20 ≤ x ≤ 27.37 (option D from the choices).