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3 years ago

How long will it take Lola to travel from Paris to nice?

Mathematics

1 answer:

djyliett [7]3 years ago

3 0

5 hours if you convert 180 kilometers to meters its 180,000 meters. 180,000 meters time 5 is 900,000

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State the domain of the function. Discrete graph defined on the set of points negative three comma negative four and negative tw

Mariana [72]

Answer:

Step-by-step explanation:

B35

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3 years ago

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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docker41 [41]

Answer:

data shows a positive or negative correlation, we can model the trend in the data using a line of best fit. Example 1 ... A curve of best fit is used to find an equation that best fits a quadratic function.

Step-by-step explanation:

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3 years ago

.. Find the L.C.M. of (a - 5)(a – 4) and (a + 4)(a – 5)

andrew-mc [135]

A-5 A-5 AND A-4 A-5

A-10 AND A-1

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3 years ago

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What is tje equation of the function?

crimeas [40]

Answer:

It is relatively easy to determine whether an equation is a function by solving for y. When you are given an equation and a specific value for x, there should only be one corresponding y-value for that x-value. For example, y = x + 1 is a function because y will always be one greater than x.

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3 years ago