Answer:
∠B ≈ 56.25°
Step-by-step explanation:
Since the triangle is right use the cosine ratio to solve for B
cosB = 
= 
= 
, thus
B = 
( ) ≈ 56.25°
The correct statement is C. <span>If an angle is an acute angle, then the angle measures less than 90 degrees.
A and B are obviously incorrect, and D is incorrect because it can be other angle as well, not just acute. </span>
Answer:
sin(x) = 5/13
cos(y) = 5/12
Therefore, sin(x) = cos(y)
Step-by-step explanation:
Trig ratios:
where 
is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle
We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem 
(where a and b are the legs and c is the hypotenuse of a right triangle)
Now we can use the trig ratios:
Therefore, sin(x) = cos(y)
X weight 131
---- = -------------
18.8% 100%
Cross multiply and get 24.6 pounds
This the problem we are looking at: 6 pounds/18 = 72 ounces /?
To solve this, we have to make the unit of measurement the same. There are 16 ounces in 1 pound. So, there are 72 ounces in 4.5. To find that you just do 72 divided by 16. This is the new problem we are looking at: 6 pounds/18 = 4.5 pounds/?
To find ?, you must divided 6 divided by 4.5 to find the difference between the two to keep the same rate. That equals 1.33333333.
What is done to the numerator, you must do to the denominator to keep the same rate so now you divide 18 divided by 1.33333333 which equals 13.5
So for 72 ounces (4.5 pounds) it will cost $13.50
I hope this helps:)
