PLz answer fast with picture of your work on a blank piece of paper

Find the perimeter of the shaded region below.

Dmitriy789 [7]

9514 1404 393

Answer:

24x

Step-by-step explanation:

The total length of all vertical segments is 5x·2 = 10x.

The total length of all horizontal segments is (3x+4x)·2 = 14x.

Then the total length of all perimeter segments is ...

10x +14x = 24x . . . . perimeter of the figure

5 0

2 years ago

The length of Ab & Df with work shown

Free_Kalibri [48]

It’s to blurry I can’t see

4 0

3 years ago

Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE

AVprozaik [17]

Answer:

D

Step-by-step explanation:

We are given that:

$\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi$

And we want to find the value of tan(2<em>x</em>).

Note that since <em>x</em> is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

$\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}$

Using double angle identities:

$\displaystyle \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}$

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

$\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}$

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:

<h2> $\displaystyle \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}$ </h2>

Simplify:

$\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}$

Evaluate:

$\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}$

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

$\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}$

So, our answer is D.

7 0

3 years ago

What is 12, 4, -2, 0, 9, -2, 1, 7, 8, 2 in order from least to greatest

7nadin3 [17]

Answer:

-2 , -2 , 0 , 1 , 2 , 4 , 7 , 8 , 9 , 12

Step-by-step explanation:

Order each number from least to greatest. Note that if the number is numerically larger and attached is a negative sign (-), then it is towards the least. If it does not have a negative sign, it leans towards the most.

Your answer:

-2 , -2 , 0 , 1 , 2 , 4 , 7 , 8 , 9 , 12

~

6 0

2 years ago

Read 2 more answers

How many roots does a quadratic have if the discriminant if prime?

scZoUnD [109]

"The discriminant is prime?" I haven't heard that one before.

Here are the general rules:

1. a positive discriminant results in two real, unequal roots.

2. a zero discr. results in two real, equal roots.

3. a negative discr. results in two complex roots, which sometimes means two imaginary roots.

5 0

2 years ago