What is the slope of the line that contains the points (-1,-1) and (3, 15)?
1 answer:
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Answer:
the volume of the triangular prism is 1,185.6 in³
Step-by-step explanation:
To find the volume of these triangular prism, we will, first, find the area of the triangle then multiply by the length
Area of triangle = × b×h
From the diagram ,the height of the triangle is given to be 10.4 in and the base is given to be 12 in.
We will now proceed to insert the values into the formula;
Area of triangle = × b×h
= × 12×10.4
= × 124.8
=62.4
Area of triangle is 62.4 in²
From the diagram is given to be 19 in
Volume of triangular prism = area of triangular prism × l
=62.4 in² × 19 in
=1,185.6 in³
Therefore the volume of the triangular prism is 1,185.6 in³
Answer:
Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.
Step-by-step explanation:
Let tap B fills the pool alone in the time = x hours
So in one hour part of pool will be filled =
Another tap A when turned on, it takes time to fill the pool = x-5 hours
So in one hour part of the same pool filled =
Now both the taps A and B are turned on then time taken to fill the pool = 3 hours.
Part of the pool filled in one hour by both the taps =
Now we form an equation
Part of pool filled in one hour by tap A + Part of pool filled in one hour by tap B = Part of pool filled in one hour by both the taps when turned on
3(x - 4) = x(x - 5)
x² -5x = 3x - 12
x² - 8x + 12 = 0
x² - 6x - 2x + 12 = 0
x(x - 6) - 2(x - 6) = 0
(x -2)(x - 6) = 0
x = 2, 6 hours
We will take higher value of x as x = 6 hours for tap B.
Time taken by tap A = 6 - 4 = 2 hours.
Therefore, Tap A will take 2 hours and tap B will take 6 hours to fill the tank when turned on alone.