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 169π in place of area
 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 B
Explanation
P-At=-kr
Subtract P on both sides
P-P-At=-kr-P
-At=-kr-P
Divide both sides by -t
-At/-t=(-kr-P)/-t
A=(kr+P)/t
Correct Answer is A
Explanation
We are tasked to find the stock price on Thursday from the given information. Here, we need to find the stock of each day from the price increase or decrease. If the price increases, we add to the previous day’s price and subtract if the price decreases.
Monday’s stock price=$65.50
Tuesday’s stock price is Monday’s plus $1.50=65.50+1.50=$67.00
Wednesday’s stock price went down by $2.57 from Tuesday’s=67.00-2.57=$64.43
Thursday’s stock price went up by $2.25 from Wednesday’s =64.43+2.25=$66.68
From the above evaluation, the stock price on Thursday was $66.68
Correct Answer is D
Explanation
We use the relation 1 L=1000 mL to convert L to mL.
The two options for converting between L and mL are

And

We use the first option to convert 6.5 L to mL as follows:

Thus, 6.5 L is 6500 mL.
Correct Answer is C
Explanation
C organizes the collection correctly.
Correct Answer is B
Explanation
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 169π in place of area
 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:

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 C
Explanation
To find the pounds equivalent of the kg given, we use the two options as given below.

OR

Since we want to remain with pounds, we use the second option and set up the equation below.

Thus, 65 kg is equal to 143 lb.
Correct Answer is A
Explanation
A dependent variable is one that depends on the independent variable. An independent variable is one that when changed result in a change of another variable.
In this problem, if we change the brand of laptop, tax rate, and memory size, the price of the laptop changes. Thus, the cost of the laptop is the dependent variable.
Correct Answer is A
Explanation
we need to find the portion of pizza shared by other three friends.
Two friends eat half of the pizza, which is ½
And the remaining amount of pizza, 
Now, the other three friends share ½ amongst themselves equally. Then, each friend gets

The other three friends each gets 1/6 of the pizza.
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.
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