Answer:
Choice A. 3.
Step-by-step explanation:
The triangle in question is a right triangle.
- The length of the hypotenuse (the side opposite to the right angle) is given.
- The measure of one of the acute angle is also given.
As a result, the length of both legs can be found directly using the sine function and the cosine function.
Let denotes the length of the side opposite to the acute angle, and be the length of the side next to this acute angle.
.
Similarly,
.
The longer leg in this case is the one adjacent to the acute angle. The answer will be .
There's a shortcut to the answer. Notice that . The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the angle will be the longer leg. There will be no need to find the length of the opposite leg.
Does this relationship holds for all acute angles? (That is, ?) It turns out that:
Answer:
The perimeter would also be multiplied by 2.
Step-by-step explanation:
The perimeter would also be multiplied by 2. Suppose the sides of a triangle are 5, 10 and 13. The perimeter would be the sum of the side lengths or 5 + 10 + 13 = 28 ft.
Multiply each side length so 5*2 = 10, 10*2 = 20 and 13*2 = 26. Find the perimeter by finding their sum, 10 + 20 + 26 = 56.
Divide the new perimeter by the old perimeter to find a scale factor.
56/28 = 2.
The new perimeter is exactly 2 times bigger since 2*28 = 56.
Answer:
It is a same size scalene triangle as the original triangle.
Step-by-step explanation:
:)
Answer:
Covered: $3712
Still need to pay: $928
Step-by-step explanation:
4/5 --> 0.8 --> 80%
4640 x 0.8 --> 3712
Covered: $3712 (which is 80%)
Still need to pay: $928 (which is 20%)