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2 years ago

A square pyramid has a volume of 20 cubic feet and a base length of 5 feet. What is it's height?

Mathematics

1 answer:

erastova [34]2 years ago

5 0

Answer:

The height of the pyramid is $2.4\ ft$

Step-by-step explanation:

we know that

The volume of a square pyramid is equal to

$V=\frac{1}{3}b^{2}h$

we have

$V=20\ ft^{3}$

$b=5\ ft$

substitute and solve for h

$20=\frac{1}{3}(5)^{2}h$

$60=(25)h$

$h=60/(25)=2.4\ ft$

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You start driving north for 24 miles, turn right, and drive east for another 10 miles. At

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Answer:

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Step-by-step explanation:

To solve this problem, the Pythagorean theorem must be applied, which states that the hypotenuse squared of every right triangle is equal to the sum of its squared legs, that is, A^2 + B^2 = C^2 .

Therefore, applying this formula, to determine the distance in a straight line from the starting point to the driving end point, the following calculation must be performed:

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1 year ago

A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?

KatRina [158]

Answer:

$y=3x+4$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

1) Determine the slope (m)

$m=\frac{y_2-y_1}{x_2-x_1}$ where two points that the line passes through are $(x_1,y_1)$ and $(x_2,y_2)$

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

$=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3$

Therefore, the slope of the line is 3. Plug this into $y=mx+b$

$y=3x+b$

2) Determine the y-intercept (b)

The y-intercept is given; it is 4. Plug this back into $y=3x+b$

$y=3x+4$

I hope this helps!

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2 years ago