Answer:
Step-by-step explanation:
Remark
<u>Question One</u>
It's equilateral. All three sides are equal. The base is 34 as well. So two right angles can be formed on the base by dropping the altitude from the top vertex.
Givens
altitude = h
a = 34/2 = 17
hypotenuse = 34
Formula
a^2 + h^2 = c^2
Solution
17^2 + h^2 = 34^2
289 + h^2 = 1156
h^2 +289 =1156
h^2 = 1156 - 289
h^2 = 867
sqrt(h^2) = sqrt(867)
h = 29.444
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<u>Question Two</u>
Givens
b = 10 feet
c = ?
height = h = 16
Formula
c^2 = b^2 + h^2
Solution
c^2 = 10^2 + 16^2
c^2 = 100 + 256
c^2 = 356
sqrt(c^2) = sqrt(356)
c = 18.87
A = π(r²) --- r is radius
C = πd --- d is diameter
First, the circumference must be found. If the circumference is 15.7, plug it in.
15.7 = πd
We know what pi is.
15.7 = 3.14 (d)
Now, simply divide 3.14 by 15.7 to find the diameter (d). You get 5. Since the radius is half of the diameter, the radius is 2.5. Plug this into the area formula, and plug pi in, too.
A = 3.14(2.5²)
2.5 to the second power is 6.25.
A = 3.14(6.25)
Tada! Multiply, and you're left with 19.625!
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Answer:
80 percent
Step-by-step explanation:
What percent of 110 is 88
p * 110 = 88
divide by 110 on each side
p = 88/110
p = .8
multiply by 100 to get percent
80 percent
Answer:
6/8
Step-by-step explanation:
3?4=.75
6/8=.75
Answer: 40%
Step-by-step explanation: twice as more of 20% is 40%