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3 years ago

Please help me!!!! I dont know the exponent

Mathematics

1 answer:

Kay [80]3 years ago

4 0

3x^(1/3)* 8x^2 =
24x^(7/3) means the 3 is in the check mark of the square root and the 7 is under the radical as an exponet to the 7

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How do I solve this equation for x?

lara31 [8.8K]

Answer:

The answer is x = -32

Step-by-step explanation:

In order to find the value of x, e must first distribute the 6 into the parenthesis.

6(x - 7) = 8x + 22

6x - 42 = 8x + 22

Now we will add/subtract values so that all x values are on the right and all number values are on the left.

6x - 42 = 8x + 22

-42 = 2x + 22

-64 = 2x

Now to get the final answer, divide both sides by 2.

-32 = x

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3 years ago

The sum of seventeen and a number

Ne4ueva [31]

Step-by-step explanation:

let the number be a

so,

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8 0

3 years ago

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Two ladders are leaning against a building, forming two similar triangles as shown below. The top of the longer ladder is 28 fee

postnew [5]

Answer:

The length of the longer ladder is 35 ft

Step-by-step explanation:

Please check the attachment for a diagrammatic representation of the problem

We want to calculate the length of the longer ladder ;

We make reference to the diagram

Since the two right triangles formed are similar. the ratios of their sides are equal;

Thus;

20/15 = 28/x + 15

20(x + 15) = 15(28)

20x + 300 = 420

20x = 420-300

20x = 120

x = 120/20

x = 6

So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft

To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides

Let the hypotenuse be marked x

x^2 = 28^2 + 21^2

x^2 = 1,225

x = √1225

x = 35 ft

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2 years ago

Find the length of the arc and express your answer as a fraction times pie

Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

$\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}$

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

$\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}$

To find the length of the arc, s, the formula is

$\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}$

Substitute the variables into the formula to find the length of an arc, s above

$\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}$

Hence, the length of the arc, s, is 3π units.

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1 year ago

7f+g=5 solve for g? It's very difficult

Vika [28.1K]

In this case 'g' would be 5 - 7f

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3 years ago

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