**A circle has an area of 169 π in2. Which of the following is the circumference of the circle in terms of pi ( )?**

13 π in

26 π in

7.5 π in

20 π in

*Correct Answer : B*

We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then

Substituting 169*π* in place of area

* *

Dividing both sides by pi and taking square root on both sides yields

The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation:

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Related Questions

### Correct Answer is D

#### Explanation

We use the given slope to find the minimum length of the ramp. In this case, slope is the ratio of height to length of the lamp. Thus,

If we let x be the minimum length of the ramp. Then,

Substituting the value of slope into the above equation results in,

Solve for value of x by cross-products

*X = 18 Feet*

Thus, the minimum length of the ramp needed to provide access to a door that is 1.5 high is 18 feet.

### Correct Answer is B

#### Explanation

Before finding the greatest number from the data set, the numbers need to be in fraction form.

-0.5=-5/10

-1.5=-15/10

The set of numbers becomes -2/3, -5/10, -15/10, -4/9

Now the least common denominator for 3, 10, and 9 is 90, which will be used to multiplied by the given fractions as follows:

-2/3*90=-60

-5/10*90=-45

-15/10*90=-135

-4/9*90=-40

From the above evaluations, the resulting numbers arranged from the smallest to the largest is -135, -60, -45, -40. Thus, the greatest number from the data set is -40, with a corresponding fraction of -4/9.

### Correct Answer is A

#### Explanation

Using a calculator to evaluate 15*÷*27 results in 0.5555555556. To two decimal places, the answer becomes 0.56.

Thus, 0.56 is the decimal equivalent of 15/27.

### Correct Answer is C

#### Explanation

The mean of a data set is the sum of all scores divided by the number of tests.

Total test scores = 83+86+76+88+97 = 430

Number of tests = 5

Mean test score = 430/5 = 86

The mean test score is 86.

### Correct Answer is C

#### Explanation

Here we utilize the dimensional analysis of units of measurement of length to convert yards to cm as follows

9 yards is equal to 822.96 cm, which is about 823 cm.

### Correct Answer is B

#### Explanation

We use the calculator to find the positive square root of 19, which is then multiplied by 3.

Using the calculator,

Multiplying the square root above with 3 becomes

The approximate value of 3 times the square root of 19 is 13.1.

### Correct Answer is D

#### Explanation

In this task, we use the relation from the given scenario to compare the number of dimes to quarters.

If we let p be number of pennies in the bottle. Then,

Number of quarters in the bottle = 2p

Number of nickels in the bottle = 3p

Number of dimes in the bottle =6(3p)=18p

Now relating dimes to quarters, we have

Thus, there are 9 times as many dimes as quarters in the box.

### Correct Answer is D

#### Explanation

To find the amount of vanilla in mL, use dimensional analysis of the units of measurements.

Two ways to convert between teaspoon and mL are:

Since we are required to find the amount in mL, we use a cionverstioon that will result in mL. Inspecting the above options, we use the second option and set up an equation in way the unwanted units cancel out and leave the wanted unit we are looking for. Then,

Thus, a recipe of 3 teaspoons equals 14.79 mL.

### Correct Answer is B

#### Explanation

The number of boxes is determined by volume of the room divided by volume of one box.

Number of boxes

Therefore, about 24 boxes can be stacked in the room.

### Correct Answer is A

#### Explanation

To find the cheapest option, we determine how much the consumer will spend in each option given above:

1 two-24 packs of Orange and 2 pack of Cream Soda=1($10)+2($6)=$10+$12=$22

3 one 24-pack of Orange=3($8)=$24

1 pack of Root Beer and 3 packs of Cream Soda=1($11)+3($6)=$11+$18=$29

4 packs of cream Soda=4($6)=$24

The cheapest option is spending $22 and the most expensive one is $29. Thus, the consumer should consider buying 1 two-24 packs of Orange and 2 packs of Cream Soda.

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