36
List the numbers
31,34,34,35,37,38,38,39
Mark out one from each side till you get 37 and 35 average them to get your answer
I don't think all of the answer choices are here since they are all the same except for 4. However, the best statement to describe a polygon is that it is a closed plane figure with three or more sides that are straight. The correct answer is A.
Answer:
Both A and B are possible.
Step-by-step explanation:
It's both!
This is a might tricky. First you have to find the altitude. You have to determine if this is a real triangle.
Sin(22) = opposite / hypotenuse. The hypotenuse = 111. The angle is 22
opposite = hypotenuse * sin(22)
opposite = 111 * sin(22)
opposite = 41.58 and this is the altitude.
What have you learned?
Since 42 is larger than 41.58 you have 2 solutions to the triangle. One of the angles is acute, and the other one is obtuse. They are supplementary angles.
Sin(C) / c = Sin(A) / a
Sin(C) = c * Sin(22) / 42
Sin(C) = 111*sin(22)/ 42
Sin(C) = .99003
Sin(C) = 81.9
So that's your first answer. The second answer comes from Finding the supplement to this angle
supplement + 81.9 = 180
supplement = 180 - 81.9
supplement = 98.1
The length of a rectangle:
L = 2 W + 5
The perimeter:
P = 2 L + 2 W
130 = 2 · ( 2 W + 5 ) + 2 W
130 = 4 W + 10 + 2 W
130 - 10 = 6 W
120 = 6 W
W = 120 : 6
W = 20 in
L = 2 · 20 + 5
L = 40 + 5
L = 45 in.
Finally the area:
A = L · W
A = 20 · 45
A = 900 in²
