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4 years ago

Find y..........................................................................................................................

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

Mathematics

1 answer:

Tcecarenko [31]4 years ago

4 0

$sin30 = \frac{o}{h} \\ sin30 = \frac{5}{x} \\ x = \frac{5}{0.5} \\ x = 10$

${10}^{2} + {10}^{2} = {y}^{2} \\ 100 + 100 = {y}^{2} \\ 200 = {y}^{2} \\ \sqrt{200} = y \\ 14.14 = y\\$

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Question:

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

4 years ago

Rewrite the following in Function notation y=2x+6

xxTIMURxx [149]

This one is simple! Instead of y, swap it out with f(x) So, the answer is C, f(x)=2x+6

6 0

3 years ago

PLEASE HELP. I need DE AND EF!!!

AlekseyPX

Answer:

DE = about 41.843 (rounded to nearest thousandth)

EF= 34.276 (rounded)

Step-by-step explanation:

For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°. We can use trigonometry to figure this out. SinФ equals the opposite side (in this case, 24) divided by the hypotenuse. Set sinФ equal to a ratio of the sides like this:

sin(35) = $\frac{24}{x}$

x represents the hypotenuse length, which we don't know; 35 is the angle measure. Next, isolate x so that the equation looks like this:

$\frac{24}{sin(35)}$ = x

You will need a calculator for the next part. (and make sure you're in degree mode!). evaluate sin(35) and divide 24 by that value. That is DE's length. DE = about 41.843 (rounded to nearest thousandth)

For EF, we can just use Pythagorean theorem now that we know the other sides' values.

EF^2 + 24^2 = DE^2

*a calculator might also be useful for this part.

EF= 34.276 (rounded)

8 0

3 years ago

Please help. Will be rewarded 20 points

tatiyna

Answer:

20%

Step-by-step explanation:

Multiply 12 by 2 then multiply your answer by 10. And the answer is the cost of the surfboard