Answer: $35.75
Step-by-step explanation:
1) $25 for the manicure
2) $25*(0.20) = $5 for the tip
3) $5.75 for the tip
$25 + $5 + $5.75 for the total
$35.75 total
Answer:

Step-by-step explanation:
sin =opposite/hypotenuse
sinQ=5/6
Answer: 12.20 feet.
Step-by-step explanation:
Observe in the figure attached that a right triangle is formed.
Then, you need to remember the identity:

In this case you can identify that:


Then, to find the length of the wooden board (x), you need to substitute values and solve for x.
Therefore, you get:

The length of the wooden board is: 12.20 feet.
Answer:
<em>Her rate of change is 75 ft/h</em>
Step-by-step explanation:
<u>Rate of Change</u>
It measures how one quantity varies with respect to another. The second variable usually is the time.
The climber is hiking. We are given two points of her progress: At 2 hours, she is at 400 ft. This corresponds to the point (2,400).
At 6 hours, she is at 700 ft. This is the point (6,700)
The rate of change is the slope between these two points or the quotient of the variations of each variable:



Her rate of change is 75 ft/h