Answer:

Step-by-step explanation:
Given
See attachment
Required
Determine the measure of 
.
So, we have:

Where:


Substitute these values in the above equation.


Collect Like Terms:


Answer:
If Henry walks along the sidewalks, he will walk 1.7 miles in total. It will take him 17 minutes to reach the store and another 17 minutes to come back.
If Henry cuts through the city, he will walk √(1.2² + 0.5²) = 1.3 miles in total. It will take him 22.3 minutes to reach the store and another 22.3 minutes to come back.
Even though Henry will need to walk a longer distance if he walks along the sidewalks, he will be able to reach the store and back back in a shorter time than if he cuts through the city.
The slope intercept form is y=mx+b, and b represents the y-intercept. In the given equation C=45t+100, 100 is the y-intercept. It represents the one-time fee to join the gym membership.
Answer: 
Step-by-step explanation:
By definition, the perimeter of a rectangle is:

Where "l" is the lenght and "w" is the width.
If you solve for "l":

In this case, you know that the following expression represents the perimeter of the rectangle:

And the width of that rectanle is represented wih this expression:

Therefore, based on the explained above, you can conclude that the lenght of that rectangle is given by:

Finally, simplifying the expression, you get:

Answer:
Step-by-step explanation:
<h3>A. How much Bill paid
AFTER the discount.</h3>
Step 1: Convert the discounted percent to decimal
20% = 0.2
Step 2: Multiply the discount to the item regularly priced
0.2(65.00) = 13
So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:
Step 3: Subtract the result (the discount Bill received) from the regular price
$65.00 - $13.00= $52.00
Therefore, Bill paid $52.00
<h3>
B. The price of the pillow in the department store.</h3>
Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price
$4.50 × 40% = 1.8

- The reciprocal of both sides gives

x = 1.8
Step 2: Add the result to the wholesale price for the pillow
4.50 + 1.8 = $6.3
Step 3: Round to the nearest cent
Add a zero behind the result = 6.30
Therefore, the price of the pillow in the department store is $6.30