Sin 45° = opposite side / hypotenuse
1/2 = 8/h
h = 16
2)6/12 = 1/2
1/2 = sin 45°
6√3/12 = √3/2
√3/2 = cos 30°
Sum of angles of triangle = 180°
The 3rd angle = 180 - (45 + 30) = 180 - 75 = 105°
Angles = 30° , 45° , 105°
Answer:
A
Step-by-step explanation:
Put brackets around the first two tems.
y = (x^2 - 8x) + 29
Take 1/2 coefficient of the linear term -8. Square that result. Add it inside the brackets.
1/2 (- 8) = - 4
(- 4)^2 = 16
y = (x^2 - 8x + 16) + 29
Subtract 16 outside the brackets.
y = (x^2 - 8x + 16) + 29 - 16
Do the subtraction
y = (x^2 - 8x + 16) + 13
Represent what is inside the brackets as a square.
y = ( x - 4)^2 + 13
The answer is A
Answer: 27%
Step-by-step explanation:
Subtract 66% from 93%
= 93% - 66%
=27%
we know that
4 cups of lemonade = 1 quart
1 gallon of lemonade = 4 quarts
1 gallon of lemonade = 16 cups
Step 1
<u> find the amount of lemonade that's left expressed in cups</u>
5 glasses * 2 cups = 10 cups
16 cups - 10 cups = 6 cups.
There are 6 cups of lemonade left.
Step 2
<u> find the amount of lemonade that's left expressed in quarts: </u>
4 cups = 1 quart.
(6 cups divided by 4 cups will equal the quarts.)
6/4=1.5
6 cups = 1.5 quarts.
There are 1.5 quarts of lemonade left.
Step 3
<u> find the amount of lemonade that's left expressed in gallons </u>
4 quarts = 1 gallon.
(1.5 quarts divided by 4 quarts will equal the gallon)
1.5/4=0.375
1.5 quarts = 0.375 gallon.
There is 0.375 gallon left of lemonade.
