In a 30-60-90 triangle, the side lengths are in the ratio 1:2:sqrt(3) = short leg: hypotenuse: long leg.
We know the hypotenuse is 8. We can use this to find the other legs.
The short leg s is 8/2 = 4 because the short leg is always half of the hypotenuse.
The long leg q is 4 * sqrt(3), because the long leg is always sqrt(3) times the shorter leg.
So:
s = 4
q = 4 * sqrt(3)
Answer:
b) $52.33
Step-by-step explanation:
(For bid 3 I think you meant $55)
50+52+55 = 157
157/3 = 52.33(.33 repeating)
Which rounds to $52.33
Answer:
4/3
Step-by-step explanation:
You add the top numbers and not the bottom then simplify.
Answer:
All of these are the same. I would say D as theya re the same.
Answer:
2.625 cups or 21 ounces
Step-by-step explanation:
Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.
She has 28 ounces of white paint. But, you have to convert ounces to cups.
1 cup = 8 ounces
28 ounces ÷ 8 ounces/cup = 3.5 cups
Now set up a ratio.

X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)
Cross multiply and divide.

x = 0.75 × 3.5
x = 2.625 cups
To convert to ounces, multiply by 8.
2.625 cups × 8 ounces = 21 ounces
Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.
Hope that helps.