Answer:

Step-by-step explanation:
<u>Trigonometric Ratios
</u>
This problem will be solved by the use of a trigonometric ratio called sine because it relates the opposite side of a given angle with the hypotenuse of the triangle.
Selecting the angle of 60° in triangle ABD:
<em>Sine Ratio
</em>


Solving for BD:

Since


Simplifying:

Answer:
24°
Step-by-step explanation:
(4y-4)+(180-52)+3y = 180°
4y-4+128+3y = 180
7y+124 = 180
7y = 56
y = 8
SO ∠x = 3y
∠x = 3(8)
∠x = 24
Answer:
12 is 3 percent of 40.
Step-by-step explanation:
If you divide 12 by 40, you get 0.3. 0.3 as a fraction is 3/100. So, it would be 3% of 100.
Answer: 42/11 = 21/5.5
Step-by-step explanation:
1) Since the hypotenuse is 42 for one of the triangles it must be similar to the other triangles hypotenuse, 11.
2) Therefore, the ratio is 42/11.
3)The adjacent sides to the right angle are 21 and 5.5.
4)Therefore, the ratio is 21/5.5
Answer:
85%
Step-by-step explanation:
with OR (as opposed to AND), you add probabilitites
with AND, you multiply them
P(coffee OR food) = .55 + .30 = .85