1. The perimeter of the square is 32 units, means each side is 32/4=8 units.
rotating the square about line k forms a cylinder with base radius equal to 8 units, and height equal to 8 units. (check the first picture)
the circumference of the base is C=2πR=16π units=16*3.14 units = 50.24 units.
Answer: <span>a cylinder with a circumference of about 50 units
2.
Rotating the equilateral triangle around line a, produces a cone with base radius equal to half of one side of the triangle, that is r=10mm.
(check picture 2)
The circumference is </span>C = 2πr=<span>C = 2*3.14*10=62.8 mm
Answer: </span><span>a cone with a base circumference of about 63 mm</span>
Answer:
The answer is B.
Step-by-step explanation:
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surface area of a sphere formula: A=4πr^2
314=4 x 3.14 x r^2 => r=5
It's B
<span>Answer:
P = $ 2,000.00
Equation:
P = I / rt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
putting time into years for simplicity,
3 months ÷ 12 months/year = 0.25 years,
then, solving our equation
P = 20 / ( 0.04 × 0.25 ) = 2000
P = $ 2,000.00
The principal required to
accumulate interest of $ 20.00
on a rate of 4% per year for 0.25 years (3 months) is $ 2,000.00.
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Answer:
a=54
Step-by-step explanation:
a+10+44=2a
54=2a-a
54=a