Which of the following pairs of lines whose equations are given are perpendicular?

PIT_PIT [208]

Find 25 seconds in the table. That's between 20 and 30, right? So, find the median between 19 and 28:
19 + 28
---------- = 23.5
2

That is around 24 deep knee squats per 25 seconds. Now, use the same method for 65 seconds:

51 + 58
---------- = 54.5
2

That is around 55 deep knee squats per 65 seconds.
Now, explain the method using words. You might wanna use the words "average" or "mean" to describe that process above.

7 0

3 years ago

What value of n makes the equation ? 4(0.5-3)=n-0.25(12-8n)

Free_Kalibri [48]

Answer:

4(0.5-3)=n-0.25(12-8n)

2-12=n-3+2n

-10=-3+3n

-10+3=3n

-7=3n

n=-2.3

7 0

3 years ago

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

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what is the value of of the x in this equation 8x = 16 and explain what you used to find out cuz I'm confused

RSB [31]

Answer:

x= 2

hope it's helpful ❤❤❤

THANK YOU.

6 0

3 years ago

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Determine the exact value of sin 13pi/12

ohaa [14]

To answer the problem above, convert the given angle to an equivalent angle with the unit of degrees.
(13π / 12 rad) x (360° / 2π) = 195°
We can solve this by directly inputting the value in our scientific calculators. The answer is approximately -0.2588.

6 0

3 years ago