All categories

2 years ago

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

Mathematics

1 answer:

kogti [31]2 years ago

6 0

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

You might be interested in

In the diagram below bd is parallel to xy what is the value of x

Dominik [7]

Answer:

the answer is 76

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Math question

strojnjashka [21]

Answer:

The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.

Step-by-step explanation:

The volume ( $V$ ), in cubic centimeters, and surface area ( $A_{s}$ ), in square centimeters, formulas for the candle are described below:

$V = \pi\cdot r^{2}\cdot h$ (1)

$A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r \cdot h$ (2)

Where:

$r$ - Radius, in centimeters.

$h$ - Height, in centimeters.

By (1) we have an expression of the height in terms of the volume and the radius of the candle:

$h = \frac{V}{\pi\cdot r^{2}}$

By substitution in (2) we get the following formula:

$A_{s} = 2\pi \cdot r^{2} + 2\pi\cdot r\cdot \left(\frac{V}{\pi\cdot r^{2}} \right)$

$A_{s} = 2\pi \cdot r^{2} +\frac{2\cdot V}{r}$

Then, we derive the formulas for the First and Second Derivative Tests:

First Derivative Test

$4\pi\cdot r -\frac{2\cdot V}{r^{2}} = 0$

$4\pi\cdot r^{3} - 2\cdot V = 0$

$2\pi\cdot r^{3} = V$

$r = \sqrt[3]{\frac{V}{2\pi} }$

There is just one result, since volume is a positive variable.

Second Derivative Test

$A_{s}'' = 4\pi + \frac{4\cdot V}{r^{3}}$

If $\left(r = \sqrt[3]{\frac{V}{2\pi}}\right)$ :

$A_{s} = 4\pi + \frac{4\cdot V}{\frac{V}{2\pi} }$

$A_{s} = 12\pi$ (which means that the critical value leads to a minimum)

If we know that $V = 3217\,cm^{3}$ , then the dimensions for the minimum amount of plastic are:

$r = \sqrt[3]{\frac{V}{2\pi} }$

$r = \sqrt[3]{\frac{3217\,cm^{3}}{2\pi}}$

$r = 8\,cm$

$h = \frac{V}{\pi\cdot r^{2}}$

$h = \frac{3217\,cm^{3}}{\pi\cdot (8\,cm)^{2}}$

$h = 16\,cm$

And the amount of plastic needed to cover the outside of the candle for packaging is:

$A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r \cdot h$

$A_{s} = 2\pi\cdot (8\,cm)^{2} + 2\pi\cdot (8\,cm)\cdot (16\,cm)$

$A_{s} \approx 1206.372\,cm^{2}$

The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.

3 0

2 years ago

Can someone help me with this please.

Lynna [10]

Answer: Rebate applied AFTER the discount

Step-by-step explanation:

Because the rebate value stays the same no matter what, but the discount doesn't.

4 0

3 years ago

4. Represent the ordered pairs in the mapping diagram as a set of ordered pairs and as a table.

Firlakuza [10]

Answer/Step-by-step explanation:

✔️As a set of order pairs, the mapping can be represented as (x, y), where x = input and y = output.

Thus:

{(1, 6), (2, 6), (3, 6), (4, 8)}

✔️As a table we have input as x, and y as output, such as:

x | y

1 | 6

2 | 6

3 | 6

4 | 8

3 0

2 years ago

What does the x represent?<br><br> a.diameter <br> b. central angle<br> c. arc

IrinaVladis [17]

A because it shows hi wide the circle is⭕️

8 0

3 years ago