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Wittaler [7]
3 years ago
13

a bathtub is in the shape of a rectangular prism. its dimensions are 5 feet by 3 feet by 18 inches. the bathtub is three-fourths

full of water and drains at a rate of 1 cubic foot per minute. about how long does it take for all the water to drain?
Mathematics
1 answer:
crimeas [40]3 years ago
6 0
The bathtub has dimensions 5 ft by 3 ft by 18 inches.
Note that 18 inches = 18/12 = 1.5 ft.

The volume of the bathtub is
V = 5*3*1.5 = 22.5 ft³

The bathtub is three-fourths (0.75) full of water. Therefore the volume of water is
0.75*22.5 = 16.875 ft³

The water is lost at the rate of 1 ft³/min.
If it takes x minutes to empty the bathtub, then
(1 ft³/min)*(x min) = (16.875 ft³)
x = 16.875 min

Answer: 16.875 minutes

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Find the slope of the line through the points (6,16) and (−6,4)
MakcuM [25]

m = \frac{y2-y1}{x2-x1}

m = \frac{4-16}{-6-6} \\m = \frac{-12}{-12} \\\\m = 1

Therefore, the slope of the line is 1. In case if you want to know the equation.

y=mx+b\\y=x+b\\4=-6+b\\4+6=b\\10=b\\

Therefore, the equation is y=x+10 by substituting the (-6,4) or we can substitute (6,16) too.

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3 0
3 years ago
Round off 7284 to 1sf​
AVprozaik [17]

Answer:

7000

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6 0
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What information do you need to write an equation of a line and make a graph?
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Brainliest?! Hope it helps.
6 0
3 years ago
n airplane took off from an airport and traveled at a constant rate and angle of elevation. When the airplane reached an altitud
hram777 [196]

The angle of the plane when it rose from the ground is 64.8 degrees

<h3>Application of trigonometry identity</h3>

Given the following parameters from the question

Altitude of the airplane H =  500m

Horizontal distance from airport "d"  = 235

Required

angle of elevation

According to the trigonometry identity

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tan x = 2.1277

x = arctan(2.1277)

x = 64.8 degrees

The angle of the plane when it rose from the ground is 64.8 degrees

Learn more on angle of elevation here: brainly.com/question/88158

#SPJ1

7 0
2 years ago
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