242-94 = 148 (length is 47 more than the width, you double the length to get the perimeter, so you double 47 which equals 94)
148/4 = 37 (4 being the 4 sides of the rectangle)
width = 37
length = 84
Pi/6 = 180°/6 = 30°
This produces a triangle that has 30-60-90 angles.
Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1
Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3
The integers are 9 and 10. 9 + 10 = 19. 19^2 = 361
Answer:
3 1/2 quarts
Step-by-step explanation:
The fraction of the lemonade that is water can be determined from the ratio of water to lemon juice. That fraction of a gallon is the quantity of interest.
<h3>Water fraction</h3>
Of the 7+1 = 8 parts that make up the lemonade, 7 of those are water. That is, water is 7/8 of the lemonade.
<h3>Water quantity</h3>
Of the 4 quarts of lemonade, the quantity that is water will be ...
(7/8)(4 quarts) = 7/2 quarts = 3 1/2 quarts . . . of water
Answer: b=10
Step-by-step explanation: The easiest way to solve this is to simplify 6/3, which is 2. Then find how many fifths are in 2 by multiplying 2 and 5 to get 10.
