Answer:
D. cosine
Step-by-step explanation:
As it can be seen in the figure, the triangle ABC is a right-angled triangle with Angle C = 90 degree.
In a right angle triangle, there is a formula as following:
<em>cosine (of an acute angle) = length of adjacent side/ length of hypotenuse</em>
In the figure, the point of angle B and length of hypotenuse AB are given.
We have to calculate x - length of the given side. As BC is the adjacent side of angle B
=> we can use the above formula to calculate x
So that we can use cosine
4 × y - y = 36
4y - y = 36
Combining 4y and -y to get 3y
3y = 36
Dividing both sides by 3
y = 36/3
y = 12.
Answer:
1) 
2) 
Step-by-step explanation:
Answer:
Unit rate by which the runner completed the marathon is 0.13 miles per minute.
Step-by-step explanation:
A runner competed a marathon of 26.2 miles in 210 minutes.
we can get unit rate by unitary method.
∵ In 210 minutes a runner completes the distance = 26.2 miles
∴ In 1 minute runner will complete the distance = 
= 0.125 miles per minute
≈ 0.13 miles per minute
Therefore, unit rate by which the runner completed the marathon is 0.13 miles per minute.
Answer:
(16)(1) => identity property of multiplication
2(3+7) = 2(3) + 2(7) => distributive property
(2+6) + 3 = 2+ (6+3) => associative property
9+0 = 9 => identity property of addition
8 x 4 = 4 x 8 => commutative property