Answer:
- circumference: 12.56 yd
- area: 12.56 yd²
Step-by-step explanation:
The formula for circumference is ...
C = πd
C = (3.14)(4 yd) = 12.56 yd . . . . . . . . fill in the numbers; do the arithmetic
The circumference is 12.56 yd.
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Since the diameter is 4 yd, the radius is half that, or 2 yd. The formula for the area is ...
A = πr²
Fill in the numbers and do the arithmetic.
A = (3.14)(2 yd)² = 12.56 yd²
The area is 12.56 yd².
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<em>Comment on units</em>
In problems such as these, I find it is often useful to keep the units with the numbers. The units can be treated like any variable: multiplied, divided, measures combined by addition or subtraction of "like units".
Just as (2a)² = 2²·a² = 4a², so does (2 yd)² = 2²·yd² = 4 yd². You can be sure that if the units of the problem don't make sense, there is an error somewhere.
Answer: C
Step-by-step explanation After doing the math I got $53,400
The number of people increased by 2.
This means as a ratio it is now 6/4 as many as originally planned.
6/4 can be reduced to 3/2.
The time and the number of people are inversely proportional, so the food would last 2/3 ( inverse is flipping the original ratio over) the original length of time.
This means the length of time the food lasts is reduced by 1/3, which is 33.3%
Answer:
200
Step-by-step explanation:
The ratios is 5 to 2 - so if you divide 500/5 = 100 then multiply 2 * 100 (the same rate) to keep the ration intact.
8x-6x then add 4 =14 then divide by 2 =7
