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1 year ago

7

What is the solution of 4 startroot 5 x 66 endroot = x 10? x = –10 x = 3 x = –10 or x = 3 no solution

1 answer:

eduard1 year ago

4 0

Answer:

x=3

Step-by-step explanation:

....................

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A book cost $350 and bed cost $590. With a 13% commission rate, how much money did the sale clerk earn?

kow [346]

Answer:

A.

Step-by-step explanation:

Because I used the Internet.

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3 years ago

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I need help with this as soon as possible. <br> #7 & 8

Anvisha [2.4K]

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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

4 0

3 years ago

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What is the simplified form of the equation 4/5n - 1/5 = 2/5n ?

Gnoma [55]

we are given

$\frac{4}{5}n -\frac{1}{5} =\frac{2}{5}n$

Firstly , we will multiply both sides by 5

$5*\frac{4}{5}n -5*\frac{1}{5} =5*\frac{2}{5}n$

now, we can simplify it

$4n-1 =2n$

$2n =1$

now, we can solve for n

$n =\frac{1}{2}$ .............Answer

8 0

3 years ago

Simplest form of 34/85

babymother [125]

Answer:

2/5

Step-by-step explanation:

$\frac{34}{85} = \frac{17 \times 2}{17 \times 5} = \frac{2}{5} \\$

Hence, simplest form of 34/85 is 2/5.

8 0

3 years ago