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3 years ago

12

The complement of an angle is one-fourth the measure of the supplement of the angle. What is the measure of the angle to the nea

rest whole degree?

1 answer:

atroni [7]3 years ago

6 0

Answer:

the answer is 60

Step-by-step explanation:

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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Paul [167]

The slope is 3/4
you just count how many it goes up before it goes over to a whole unit

8 0

3 years ago

At a charity fundraiser, adult tickets are sold for $12 each and children tickets are sold for $6 each. Write an algebraic expre

Annette [7]

Answer:

the answer is 2

Step-by-step explanation:

7 0

3 years ago

Mr. Morales owns a warehouse that is 56,000 cubic feet. He wants to build an addition that will increase the size of the warehou

Gennadij [26K]

Answer:

62,160 cubic feet

Step-by-step explanation:

To solve this problem, we can use a percentage formula as shown below:

$P(1+r)$

<em>P = initial value</em>

<em>r = rate</em>

Now lets plug in the values given in the question:

$56,000(1+.11) =$ 62,160

This means that the volume of the warehouse after the addition will be 62,160 cubic feet.

5 0

3 years ago

A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using chain-link fencing that costs $5.5

kaheart [24]

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

P = 11*x + 62500/x = $1658.31

5 0

4 years ago

In September, a greeting card company's total profit was 22% less than it was in august. The total profit for the two months was

Trava [24]

Profit for August: x
Profit for September: x - 22%x
Total Profit for August & September: $689,000

x + x - 22% x = 689,000

2x - .22x = 689,000
1.78x = 689,000
x = 689,000/1.78
x = 387,078.65

August Profits: $387,078.65
September Profits: 387,078.65 - (22%)(387,078.65) = 387,078.65 - 85,157.30 = 301,921.35

August Profits: $387,078.65

September Profits
$301,921.35

5 0

3 years ago