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Expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.
<u>Solution:</u>
Given that
A construction worker bought several bottles of juice for $3 at the comedian store
She paid for them the $20 bills
Number of bottles of juice is represented by variable J
Need to write an expression for the change she receives.
From given information
Price of 1 juice bottle = $3
<em>Change she receives = Amount she paid - price of J juice bottles </em>
=> Change she receives = 20 – 3J
Hence expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.
Area inside the semi-circle and outside the triangle is (91.125π - 120) in²
Solution:
Base of the triangle = 10 in
Height of the triangle = 24 in
Area of the triangle =
Area of the triangle = 120 in²
Using Pythagoras theorem,
Taking square root on both sides, we get
Hypotenuse = 23 inch = diameter
Radius = 23 ÷ 2 = 11.5 in
Area of the semi-circle =
Area of the semi-circle = 91.125π in²
Area of the shaded portion = (91.125π - 120) in²
Area inside the semi-circle and outside the triangle is (91.125π - 120) in².