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D. 48 degrees
on calculator: 2ND SIN (72/97) = about 47.92
9514 1404 393
Answer:
- 113.0 cm²
- 2464.0 in²
- 95.0 ft²
Step-by-step explanation:
1. The area of a circle is given by the formula ...
A = πr² . . . . . where r is the radius
The radius is shown as 6 cm, so the area is ...
A = (3.14)(6 cm)² = 113.0 cm²
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2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.
A = (22/7)(28 in)² = 2464 in² . . . . see comment
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3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...
A = (3.14)(5.5 ft)² = 95.0 ft²
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<em>Additional comment</em>
If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.
Answer:
B. 5 and 1/4 percent
Step-by-step explanation:
Step one:
given
principal= $2460
time= 3 and 1/2 years= 3.5 years
SI= $452
Required
The rate
Step two:
we know that
SI= PRT/100
substituting our data we have
452= 2460*R*3.5/100
452=8610R/100
cross multiply
452*100= 8610R
divide both sides by 8610
45200/8610= R
R= 5.25%
R= 5 and 1/4 percent
I assume the volume of the larger pyramid is 108 ft^3, not 108 ft^2.
The scale factor of edges of two solids is x.
The scale factor of their areas is x^2.
The scale factor of their volumes is x^3
The areas have a scale factor of 18/8 = 2.25
The length have a scale factor of sqrt(2.25) = 1.5
The volumes have a scale factor of 3.375
108/3.375 = 32
Answer: 32 ft^3