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3 years ago

8

Which values are solutions to the inequality below Check all that apply

1 answer:

Andru [333]3 years ago

4 0

I honestly don’t know

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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

13. What is the positive solution to this equation? 4x2 + 18 x= 162

MaRussiya [10]

Answer:8.5 is x but there is an extra 1

Step-by-step explanation:18x8.5=153+8=162 with an extra one is 162

3 0

3 years ago

Last year, lien earned 1200 more than her husband. Together they earned 45,200. How much did each of them earn?

nasty-shy [4]

Husband earned 22,600
lien earns 23,800

8 0

2 years ago

7/8 is 70% of what number?

tino4ka555 [31]

1.25 or 1 1/4 however you want to look at it

3 0

3 years ago

(3x squared)to the power of -2

Nady [450]

$(3x^2)^{-2}\to\boxed{1/(3x^{2})^2\to\frac{1}{9x^4}}$

3 0

3 years ago

Read 2 more answers