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3 years ago

Help!!! Please look at the images. 1 and 2 are the most difficult for me.

Mathematics

1 answer:

Arada [10]3 years ago

7 0

I don’t see the 2 part anywhere?

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Analyze the diagram below and complete the instructions that follow.

lora16 [44]

Answer:

$\displaystyle y=2\sqrt{6}$

$\displaystyle x=2\sqrt{2}$

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

$\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}$

Solving for y:

$y=4\sqrt{2}\cos 30^\circ$

Since:

$\cos 30^\circ=\frac{\sqrt{3}}{2}$

$\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}$

Simplifying:

$\displaystyle y=2\sqrt{6}$

Now we use the sine ratio:

$\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}$

$\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}$

Solving for x:

$x=4\sqrt{2}\sin 30^\circ$

Since:

$\sin 30^\circ=\frac{1}{2}:$

$\displaystyle x=4\sqrt{2}\frac{1}{2}$

Simplifying:

$\displaystyle x=2\sqrt{2}$

The choices are not clear, but it seems like the correct answer is C.

$\boxed{\displaystyle y=2\sqrt{6}}$

$\boxed{\displaystyle x=2\sqrt{2}}$

6 0

3 years ago

Help me with this the question is in the picture

nasty-shy [4]

Answer:

28:12

Step-by-step explanation:

You multiply both sides by the same number to increase a ratio, the only one you can do this with is 28:12 by multiplying the original ratio by 4

6 0

3 years ago

A recipe Requires 1/8 cup of oil for everyone half cup of water how much oil in cups is needed per cup of water

DaniilM [7]

Answer:

1/4 cup of oil for every 1 cup of water

Step-by-step explanation:

Lets take a look at the information given in the question

The recipe requires 1/8 cup of oil for every 1/2 cup of water.

We know that 1/2 + 1/2 is 1/1, or just 1 simplified

So if we are doubling the amount of water in the recipe, we have to do the same to the oil.

1/8 + 1/8 = 2/8, or 1/4 simplified

So the answer is 1/4 cup of oil to every 1 cup of water

4 0

3 years ago

The two lines

Andreas93 [3]

Answer:

yewhuh

Step-by-step explanation:

6 0

3 years ago

265,888 round to the nearest ten thousand

alexandr1967 [171]

265,888 rounded to the nearest ten thousand is 70,000.

8 0

3 years ago