Answer:C, E is my answer i believe
Answer:
C
Step-by-step explanation:
You plug it into a calculator and it gives you that number. You have a calculator option on the left hand side that you can figure this out in as well.
Answer:
5.375 in. to the nearest thousandth.
Step-by-step explanation:
Area of a regular heptagon
= 7/4 * cot(pi/7) * s^2 where s is the length of one side.
105 = 7/4 * cot(pi/7) * s^2
s^2 = 105 / (7/4 cot (pi/7)
= 28.8945
s = sqrt 28.8945
= 5.375 in.
21.
The angle has an opposite side of value 11 and an adjacent side of value x
We can then apply the formula tan 38° = opposite / adjacent
this gives us tan(38) = 11 / x
11/x = tan(38)
11 = x × tan(38)
x = 11 / tan(38)
x ≈ 14.1 (rounded to the nearest tenth)
And then we need to find the length of the hypotenuse, applying the theorem of Pythagoras. Let H be the hypotenuse, then :
H² = 14,1² + 11²
H² = 198,81 + 121
H = √(319,81)
H ≈ 17,9
Finally the area of the triangle will be (17,9 + 11) / 2 = 28,9 / 2 ≈ 14,45
You apply the same thing for 22 and 23
For 22 you use tan 55 = 15 / x
For 23 you use tan 23 = 7 / x
Good Luck !
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