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3 years ago

Springboard algibra 1

Mathematics

2 answers:

Fed [463]3 years ago

8 0

What do you mean? What’s that mean? Bruhhhh...

Phoenix [80]3 years ago

6 0

Lol I’m so confused?

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Find the exact value of cos(theta) for an angle (theta) with tan (theta)= -2/3 and with its terminal side in Quadrant II.

Naya [18.7K]

Answer:

$-\frac{3\sqrt{13}}{13}$ .

Step-by-step explanation:

Since we are in quadrant two, cosine value is negative while sine value is positive.

We are going to use the Pythagorean Identity: $1+\tan^2(\theta)=\sec^2(\theta)$ .

$1+(\frac{-2}{3})^2=\sec^2(\theta)$

$1+\frac{4}{9}=\sec^2(\theta)$

$\frac{9+4}{9}=\sec^2(\theta)$

$\frac{13}{9}=\sec^2(\theta)$

$\pm \sqrt{\frac{13}{9}}=\sec(\theta)$

$\pm \frac{\sqrt{13}}{3}=\sec(\theta)$

Since cosine and secant are reciprocals then they will have the same sign as along as they both exist.

$\sec(\theta)=-\frac{\sqrt{13}}{3}$

$\cos(\theta)=-\frac{3}{\sqrt{13}}$ .

I don't see this answer as I'm going to rationalize the denominator.

$\cos(\theta)=-\frac{3}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}$ .

$\cos(\theta)=-\frac{3\sqrt{13}}{13}$ .

8 0

4 years ago

Read 2 more answers

I need to find the area of a rhombus that has the hight of 20.25 and the length of 40.75<br>

AleksAgata [21]

Answer:

825.1875

Step-by-step explanation:

The formula for finding area for a rhombus is A=b x h (b= length h=height) so you just have to multiply the two an d you'll get your answer.

4 0

4 years ago

How do u write this number in word form

lorasvet [3.4K]

Thirteen million three hundred and twentyfive thousand and sixty nine

3 0

3 years ago

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If 8 is added to a certain number, the result is 34. Write an equation to describe this situation.

makkiz [27]

Answer:

x + 8 = 34

Step-by-step explanation:

Hope it helps.

3 0

3 years ago

Read 2 more answers

I need help please!!!

HACTEHA [7]

Answer:

Look below

Step-by-step explanation:

We can start by writing an equation.

Let x be the width. The length would be x+4.

The equation would be:

96=2(x+x+4)

Divide both sides by 2

48=x+x+4

Add like terms

48=2x+4

Subtract 4 from both sides

44=2x

Divide both sides by 2

x=22

x+4=26

The width is 22 inches and the length is 26 inches.

8 0

3 years ago