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3 years ago

5

Rapper DaBaby drove at a speed of 45 mph in front of Coosa High School on his way home from North Carolina. What was his speed i

n m/s?
(1 Mile= 1000m, 1 hour=3,600 s)

2 answers:

mezya [45]3 years ago

6 0

Answer:

12.5ms

Step-by-step explanation:

NeTakaya3 years ago

3 0

To find the answer, set up an equation:
$\frac{45 \: miles}{1 \: hour} \times \frac{1000 \: meters}{1 \: mile} \times \frac{1 \: hour}{3600 \: seconds} =$
Using this set up we can cross out the units that are on opposite sides of the proportion such as miles and hours, leaving us with the desired units of meters and seconds. Then calculate m/s by multiplying 45 by 1000 meters and then dividing that value by 3600 seconds.

The resulting answer is 45mph = 12.5 m/s

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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

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3 years ago

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schepotkina [342]

Answer:

1

Step-by-step explanation:

Let us consider the case of 3 numbers: x, y, and z.

Then x/x+y+z + y/x+y+z + z/x+y+z = x+y+z/x+y+z = 1

The same works also for any quantity of numbers.

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3 years ago

In 2012, the cost of 3 ounces of silver was $2,460. What was the cost for 1 ounce?

KonstantinChe [14]

Answer:

820 ounces

Step-by-step explanation:

$2,460 divided by 3 = 820 ounces

820 x 3 = $2,460

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Answer:

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mrs_skeptik [129]

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