9514 1404 393
Answer:
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
Step-by-step explanation:
The answer explains itself.
The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are <em>complementary</em> (not supplementary).
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
.36 × 12 = 4.32
Given this result, of the answers given, we must say that at least 4 people will say cashews are their favorite nut.
Answer:
Yes, with 12 feet leftover.
Step-by-step explanation:
For this problem, you will need to find the area of the floor and the area of both sides of the tent. To find the area of the floor, you will simply need to do 6(8) = 48. To find the area of the sides, you will need to use the Pythagorean theorem to find the height of the sides. Simply divide 6 by 2 to find b². So, the formula will be 3²+4² = c². Solve to get c = 5. Now, find the area of the rectangle by using the formula for area. 8(5) = 40. Multiply 40 by 2 because there are two sides. Now add the total area of both sides and the floor to get a total of 128. Now to see if the canvas can cover the area of the tent, do 140 - 128 to get 12. So the answer is yes, with 12 feet leftover.
Work:
Area of the floor:
6(8) = 48
Area of the sides:
A = 8(h)(2)
A = 16(h)
h² = 3² + 4²
h² = 9 + 16
= 
h = 5
A = 8(5)(2)
A = 80
Total area of the tent:
80 + 48 = 128
Total area of the canvas:
14(10) = 140
Answer to the question:
140 - 128 = 12
By the way, sorry for the late answer. I bet this was on a test, right?
Answer: They are not congruent.
Step-by-step explanation:
You need to find the distance between these points to find congruence. If just one of these doesn't match with its corresponding side, its not congruent.
DE: square root of 68
_
GH: square root of 53
DE and GH are corresponding, but they are not congruent so these polygons are not congruent.
Answer:
355.83 yd²
Step-by-step explanation:
A = (B + b)h/2
A = (21.6 yd + 19.3 yd)(17.4 yd)/2
A = 355.83 yd²