Answer:
The answer to your question is: length = 10.4 units
Step-by-step explanation:
Data
It's a right triangle with angles 30°- 60°- 90°
I'll solve this exercise with the function sine and cosine
a) sin 60 = long leg / hypotenuse
long leg = hypotenuse x sin 60
long leg = 12 x 0.87
lon leg = 10.4 units
b) cos 30 = long leg / hypotenuse
long leg = hypotenuse x cos 30
long leg = 12 x 0.87
long leg = 10.4 units
Answer: 1588 in^2
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Part 1:
Shape: Rectangular Prism
Formula: SA = 2(wl+hl+hw)
SA = 2(wl+hl+hw)
SA = 2(12(20)+5(20)+5(12))
SA = 800 in^2
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Part 2:
Shape: Triangular Prism
Formula: SA = bh + (s1+s2+s3)H
SA = bh + (s1+s2+s3)H
SA = (12)9 + (12+11+11)20
SA = 108 + 34(20)
SA = 788 in^2
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Part 3:
*Add surface areas together*
800 + 788 = 1588 in^2
Answer:
1. 17.584 feet
2. 81.64 mm
3. 9
4. 12
Step-by-step explanation:
The formula for the circumference of a circle is 2 times pi (or 3.14 in your case) times the radius of the circle.
1. Using the above formula, we can plug in the radius:
2*3.14*2.8 = 17.584
2. This is similar to the above question, so we plug in the radius into the formula:
2*3.14*13 = 81.64
3. We know the circumference of the circle so we can plug it in the formula:
56.5 = 2*3.14*r
56.5 = 6.28*r
r = 8.996 (roughly 9)
4. This is similar to question 3 so we do the same thing:
75.4 = 2*3.14*r
75.4 = 6.28*r
r = 12