5×3×7= 105
105 ÷ 0.125= 840
840 pieces of popcorn will fit in a 5 inch by 3 inch by 7 inch bag.
The area of Vivian’s garage door is 62.5 square feet
<h3>Area of composite shape.</h3>
The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;
Area = Area of rectangle + area of trapezoid
Area = (5 * 8) + 0.5(7 + 8)*3
Area= 40 +22.5
Area = 62.5 square feet
Hence the area of Vivian’s garage door is 62.5 square feet
Learn more on composite shapes here: brainly.com/question/8370446
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Answer:
False
Step-by-step explanation:
This is false. We can disprove this by plugging in the number into the function f(x) = lnx
f(0) = ln0
Since 
, 
This is not 0 so f(0) cannot be equal to 0, thus disproving the statement.
Answer:
1.26 m^2 / s.
Step-by-step explanation:
The area A of the triangle = 1/2*7*12 sin x = 42 sin x where x is the angle between the lines.
Relation between the rates is
dA/dt + dA/dx * dx/dt
We are given that dx /dt = 0.06 rad/s.
A = 42 sin x
dA/dx = 42 cos x
So dA/dt = 42 cos x * 0.06
When x = π/3 ( I am assuming that π 3 means π divided by 3 ):
dA/dt = 42 cos π/3 * 0.06
= 1.26 m^2/s.
