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3 years ago

If 9 more than twice a number is 3 less than three times the same number, what is the number?

Mathematics

1 answer:

TiliK225 [7]3 years ago

8 0

Answer:

the number is 12

Step-by-step explanation:

9+2x=3x-3

9+3=3x-2x

12=x

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andrew11 [14]

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3 years ago

Use a proportion to find the length of side x for the pair of similar figures

kogti [31]

Answer:

30.8

Step-by-step explanation:

1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.

2. Set the ratios equal to each other.

14/10 = x/22

3. Cross multiply and solve for x.

14 x 22 = 308

10 x x = 10x

4. Divide by 10

x = 30.8

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3 years ago

After Jeremy runs across the width of the building, he must run down a ramp to the next building. Use the following portion of t

sp2606 [1]

Answer:

$b.\ cos 70 =\dfrac{4}x$ is the correct answer.

Step-by-step explanation:

First of all, let us label the diagram as shown in the attached figure.

OR = 20'

QS = 16'

$\triangle OPQ$ is the right angled triangle that we get.

$\angle P=90^\circ$

$\angle O =70^\circ$

From the given figure symmetry, we can clearly see that:

Side OP = OR - QS

OP = 20 - 16 = 4'

Now, let us use trigonometric identity of cosine in $\triangle OPQ$ .

$cos\theta = \dfrac{Base}{Hypotenuse}$

$cosO= \dfrac{OP}{OQ}\\\Rightarrow cos70^\circ= \dfrac{4}{OQ}$

Let the distance of ramp, OQ = x'

So, the above ratio becomes:

$cos70^\circ= \dfrac{4}{x}$

So, the correct answer is:

$b.\ cos 70 =\dfrac{4}x$

6 0

3 years ago

What is the simplified value of the exponential expression 24 1/3

HACTEHA [7]

Hi!

<em>I think you mean $24^{\frac{1}{3} }$ </em>

<h3>Which can be simplified to</h3>

∛24

Because the 3rd root of 24 is equal to $24^{\frac{1}{3} }$ .

---------------------------------------

<h3>Now remove all the cube roots from the expression by factorizing 24. </h3>

24/2 = 12

12/2 = 6

6/2 = 3

3/3 = 1

24 = 2 * 2 * 2 * 3

-------------------------------

<h3>Now we have ∛2³ * ∛3</h3><h3>Simplify</h3>

2 * ∛3

---------------------------------

<h2>The answer is 2∛3</h2>

Hope this helps! :)

-Peredhel

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3 years ago

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The correct answer would be D.) no correlation.

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3 years ago