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Art [367]
3 years ago
8

A movie theatre offers popcorn in two different containers for the same price. One container is a rectangular prism with a base

area of 36in2 and a height of 5in. The other container is a triangular prism with a base area of 32in2 and a height of 6in. Which container is the better deal? EXPLAIN.
Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

The triangular prism container is the better deal. Because when u find the volume if the 2 containers the volume of the triangular prism container is more than the volume if the rectangular prism container.

Step-by-step explanation:

Volume of prism is base area × height

volume of the rectangular prism container= 36×5=180

volume of the triangular prism container= 32×6=192

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The following graph represents the distance a commercial airplane travels over time, at cruising speed and an altitude of 35,000
ANEK [815]

Answer:

see the explanation

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the time in hours

y ----> the distance in miles

<em>Find the value of k</em>

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k=\frac{2,268}{4}=567\ mph

The slope represent the speed of the airplane

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The linear equation is

y=567x

Part 1 :

The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.

Part 2 :

The  point  (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours

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