The height of the pyramid is 14.4 cm.
<h3>How to find the height of the pyramid?</h3>
volume of a pyramid = 1 / 3 Bh
where
- B = base area
- h = height of the pyramid
Therefore,
volume of the cube = L³
where
- L = side length of the cube
Hence,
volume of the cube = 10³
volume of the cube = 1000 cm³
The volume of the pyramid is the same with the volume of the cube.
Hence,
1000 = 1 / 3 Bh
The height of the pyramid is the same as the square base.
Therefore,
1000 = 1 / 3 (h²)h
1000 = 1 / 3 h³
cross multiply
3000 = h³
h = ∛3000
h = 14.4224957031
Hence, the height of the pyramid is 14.4 cm.
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Answer:
thank you
Step-by-step explanation:
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It means 2.5m/s multiplied by 2500 to get the total distance in meters
The approximate percent increase in the average grade is 21.43%.
<h3>
What is the percentage increase?</h3>
Percentage is a measure of frequency that expresses a number as a value out of hundred. The sign used to denote percentage is%.
Percentage increase = (new grade / initial grade) - 1
(85 / 70) - 1 = 0.2143 = 21.43%
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Answer:
Step-by-step explanation:
Given that
Slope m=-3
A point (x, y)=(4,-2)
Equation of a line can generally be written as
y=mx+c
Where, m is the slope
And c is the intercept on y-axis
Since we are given m=-3
Then, y=mx+c becomes
y=-3x+c
To get c, let substitute the point given, i.e x=4 and y=-2
y=-3x+c
-2=-3(4)+c
-2=-12+c
-2+12=c
c=-2+12
c=10
y=mx+c, then m=-3 and c=10
Then, the equation the line becomes y = -3x + 10
This is the required line equation
