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4 years ago

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7th-grade math I WILL GIVE BRAINLIEST !

1 answer:

andriy [413]4 years ago

6 0

Answer:

It includes it because with out it there will be no center and it wouldn't be right. And with out it ever equation wont be proportional

Step-by-step explanation:

I really hope this helps Im just saying what I think is the answer it is my fault if you get the answer wrong <3

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7.Find the lengths of the missing sides in the triangle. If your answer is not an integer, leave it in simplest radical form. Th

Fed [463]

Here a right angled triangle given. one angle with measure $45^o$ given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

The side adjacent to the given angle $45^o$ is x. So, here adjacent = x.

The opposite side is opposite to the given angle. So, opposite = 4.

Now we will use SOHCAHTOA that is $sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}$ , where x is the angle given.

To get x, we will use tan. So we will get,

$tan(45^o) = \frac{4}{x}$

We know the value of $tan(45^o) = 1$ . By substituting the value we will get,

$1 =\frac{4}{x}$

To find x, we have to move x here to the left side by multiplying it to both sides. We will get,

$(1)(x) = (\frac{4}{x}) (x)$

$x = 4$

So we have got the value of x here.

Now to find y, we will use the trigonometric function sine.

$sin(45^o) =\frac{4}{y}$

we know the value of $sin(45^o) =\frac{\sqrt{2}}{2}$

By substituting the value we will get,

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

By cross multiplying we will get,

$(\sqrt{2}) (y) = (4)(2)$

$\sqrt{2}y = 8$

We will get y by dividing both sides by $\sqrt{2}$ , we will get,

$\frac{\sqrt{2}y}{\sqrt{2}} =\frac{8}{\sqrt{2} }$

$y =\frac{8}{\sqrt{2} }$

Now we will rationalize the denominator by multiplying $\sqrt{2}$ to the top and bottom.

$y =\frac{8\sqrt{2}}{(\sqrt{2})(\sqrt{2})}$

$y =\frac{8\sqrt{2}}{2}$

$y = 4\sqrt{2}$

So we have got the required values of x and y.

8 0

3 years ago

Read 2 more answers

The Jackson family drove 496 miles in 8 hours. Which is the unit rate in fraction form?

vagabundo [1.1K]

You find the unit rate by dividing 496 by 8
so
$\frac{496}{8} = \frac{62}{1}$

Hope I helped

3 0

4 years ago

Read 2 more answers

Simplify <img src="https://tex.z-dn.net/?f=%28r%5Cfrac%7B1%7D%7B2%7D4" id="TexFormula1" title="(r\frac{1}{2}4" alt="(r\frac{1}{2

Katena32 [7]

Hello!!

════ ⋆★⋆ ════

$\mathbb{A~N~S~W~E~R~:}$

$= r$ · $2$

➡ $\Huge \sf \mathbb \color{}\underline{\colorbox{ANSWER~WITH~EXPLANATION ~!}{}}$

$\mathfrak{apply~the~fraction~rule: }$ $a$ $\frac{b}{c} =\frac{a~. ~b }{c}$

$\mathfrak{apply~rule: }$ $a$ · $1 = a$

$r$ · $1$ · $4 = r$ · $4$

$=\frac{r~.~4}{2}$

$\mathfrak{divide~the~numbers~: }$ $\frac{4}{2} = 2$

$= r$ · $2$

So, your answer will be is :

$= r$ · $2$

$\color{}{Hope\:it\:helps. ..}$

#LearnWithBrainly

$\mathbb{A~N~S~W~E~R~:}$

$\mathfrak{Jace}$

4 0

3 years ago

Samantha is baking a cake. She needs 3/4 cup of butter for each cake. One stick of butter is 1/2 cup. How many sticks of butter

Gala2k [10]

She would need 6 sticks of butter.

6 0

4 years ago

Read 2 more answers

12 + 30x<br><br> neeeeeeeeed heeeeeeeeeeeelp

deff fn [24]

Answer:42x

Step-by-step explanation:

4 0

3 years ago

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