A circle has an area of 64π in2. Which of the following is the circumference of the circle in terms of pi ( π)?
9 π in
16 π in
4 π in
8 π in
Correct Answer : B
we need determine the radius of the circle before we can find the circumference of the circle from the given area.
Let r be the radius of the circle, then
Substituting the value of area
Dividing both sides by pi and taking square root on both sides yields
Now, the radius of the circle is 8 in. and the circumference of the circle is given by the relation:
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Related Questions
Correct Answer is D
Explanation
To find the cheapest option, we find the expenditure on each given option.:
2 two-24 packs of Orange and 1 pack of Cream Soda=2($15)+$3=$33
3 one 24-pack of Orange=3($9)=$27
2 packs of Root Beer and 1 pack of Cream Soda=2($14)+$3=$31
5 packs of cream Soda=5($3)=$15
Spending 5 packs of cream soda is the cost-effective option.
Correct Answer is A
Explanation
Based on the given case, the outcome of measuring the duration of opening the bank is the amount of transaction, the number of deposits, and the number of loans available. The three outcomes are dependent variables while the number of opening hours is the independent variable.
Correct Answer is B
Explanation
To determine the number of sophomore students, follow these steps:
- Identify the total number of students:
1,276
- Identify the percentage of sophomores:
29%
- Calculate the number of sophomores:
(29%×1,276) = (29/100× 1,276) = 370.04
- Round to the nearest whole number:
370
Correct Answer is C
Explanation
Step 1: Calculate the Discounted Price per Unit
The original price of each unit of bedding is $160. Since there is a 10% discount, the discounted price per unit is:
DiscountedPrice =160−(0.1×160) =160×0.9
Step 2: Determine the Total Cost
If X units are purchased, the cost for all units is:
T = (0.9)160X
Since there is a fixed shipping cost of $25 per order, the total cost equation becomes:
T = (0.9)160X+25
Step 3: Identify the Correct Answer
The equation that matches this is:
C. T=(0.9)160X+25
Correct Answer is C
Explanation
the percentage change in weight is found by calculating change in weight over original multiplied by 100%.
First, find the change in weight over the 3 months
Change in weight lost= 1860-130=30 lb
Thus
The percent change in weight is 19% to the nearest whole number.
Correct Answer is D
Explanation
To round 24.375 kg to the nearest tenth (0.1 place), follow these steps:
- Identify the tenth place in 24.375:
- Tenth place: 3 (24.375)
- Hundredths place: 7 (the next digit after the hundredths place)
- Apply rounding rules:
- If the hundredths place is 5 or greater, round up the tenth place.
- Since 7 is in the hundredths place, round 24.3 up to 24.4.
Correct Answer is A
Explanation
percentages are fractions with denominator equal to 100. To get the decimal form of the percent given, e divide the value by 100.
The decimal form of 58.7% is 0.587.
Correct Answer is A
Explanation
The number of boxes is found by volume of the room divided by volume of one box.
Number of boxes
The room can hold 125 boxes.
Correct Answer is D
Explanation
9/26 is equivalent to 9÷26. The value becomes 0.3461538.
Thus, 0.35is the decimal equivalent of 9/26.
Correct Answer is D
Explanation
We are asked to make w the subject of the formula.
First, we rearrange the equation by to ensure w is on the right hand of the equation.
Then, divide both sides by r
Multiply both sides by y
The above equation can be rearranged into
Thus, the formula for finding the value of w is (x/ry)-(z/r).
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