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2 years ago

Please help!! Thank you!

Mathematics

1 answer:

11111nata11111 [884]2 years ago

6 0

Answer:

Consider that it is a triangle ABC which means:

AB = 23; AC =? ; BC = 31

AC + AB = BC

AC = BC- AB

AC = 31-23

AC = 8

I hope it will help you :)

Step-by-step explanation:

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DENIUS [597]

Answer:

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Step-by-step explanation:

8 0

2 years ago

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Fynjy0 [20]

Answer:

Step-by-step explanation:

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3 years ago

A well mixed tank with a capacity of 1500 gals originally contains 1000 gallons of freshwater. One pipe containing 1/2 lb of sal

Illusion [34]

Answer:

400 lb of salt

Step-by-step explanation:

Let us assume the water flows into the rank for x minutes.

There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x

Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x

The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:

1500 = 1000 + 5x

5x = 1500 - 1000

5x = 500

x = 100 minutes.

1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb

Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt

7 0

3 years ago

A line passes through the origin and has a slope of -3 what is the equation of the line that is perpendicular to the first line

Marianna [84]

Answer: $y=\frac{1}{3}x+3$

Step-by-step explanation:

The equation of the line is Slope-intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

The slopes of perpendicular lines are negative reciprocal.

Then, if the slope of the first line is -3, the slope of the other line must be:

$m=\frac{1}{3}$

Substitute the point (3,4) into the equation and solve for b:

$4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3$

Then the equation of this line is:

$y=\frac{1}{3}x+3$

3 0

2 years ago

Read 2 more answers

The graph of the equation xy=4 is symmetric with respect to which of the following?

inna [77]

The graph of x and y = 4 is symmetric with respect to the line x = y.
Therefore, the answer is the second option shown above, which is:

<span>the line y = x</span>

Below is a graph where you can see the symmetry of xy = 4 with respect to the oblique axis x = y. This axis cuts the curves just at its apex

4 0

3 years ago