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4 years ago

15 points

Mathematics

2 answers:

Licemer1 [7]4 years ago

7 0

Answer:

x=2

Step-by-step explanation:

isolate the variable by dividing each side by factors that dont contain the variable

GrogVix [38]4 years ago

6 0

Answer:

the answer is C (2)

Step-by-step explanation:

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The angle 0 lies in Quadrant II . Cos 0 = <img src="https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20" id="TexF

mel-nik [20]

Answer:

$\tan(\theta)=\frac{-\sqrt{5}}{2}$

Step-by-step explanation:

Since we are in quadrant 2, sine is positive. Since sine is positive and cosine is negative, then tangent is negative.

Now I'm going to find the sine value of this angle given using one of the Pythagorean Identities, namely $\sin^2(\theta)+\cos^2(\theta)=1$ .

If given $\cos(\theta)=\frac{-2}{3}$ , then we have $\sin^2(\theta)+(\frac{-2}{3})^2=1$ by substitution of $\cos(\theta)=\frac{-2}{3}$ .

Let's solve:

$\sin^2(\theta)+(\frac{-2}{3})^2=1$ for $\sin(\theta)$ .

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

Subtract 4/9 on both sides:

$\sin^2(\theta)=1-\frac{4}{9}$

Simplify:

$\sin^2(\theta)=\frac{5}{9}$

Square root both sides:

$\sin(\theta)=\sqrt{\frac{5}{9}}$

$\sin(\theta)=\frac{\sqrt{5}}{\sqrt{9}}$

$\sin(\theta)=\frac{\sqrt{5}}{3}$

===========

$\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)}=\frac{\frac{\sqrt{5}}{3}}{\frac{-2}{3}}$

Multiplying top and bottom by 3 gives:

$\tan(\theta)=\frac{\sqrt{5}}{-2}$

I'm going to move the factor of -1 to the top:

$\tan(\theta)=\frac{-\sqrt{5}}{2}$

7 0

3 years ago

If each side of a square measures (32 + 8) write an equation you could use to find the area of the square.

Whitepunk [10]

Answer:

A = 9x² + 48x + 65

Step-by-step explanation:

Area of a Square Formula: A = lw

Since a square's length is equal to its width, we simply plug it into the formula:

A = (3x + 8)(3x + 8)

Then we simply use FOIL to expand the distribution)

First - 3x(3x) = 9x²

Outside - 8(3x) = 24x

Inside - 8(3x) = 24x

Last - 8(8) = 64

Lastly, we combine like terms

9x² + 24x + 24x + 64

9x² + 48x + 64

6 0

3 years ago

Write the number 7.1 x 10⁻⁵ in standard form

solong [7]

Answer:

Step-by-step explanation:

10^-5 is .00001, If it was 10^5 it would be 100,000, but since it is negative, you will have to "flip" it around. 0.1 is 10^-1 10^-2 is .01, 10^-3 is .001 etc...

Now .00001 * 7.1 is just .000071

:) hope this helped.

6 0

3 years ago

PLZZZZZZZZZZ HELPPPPPPPPPPPPPP!!!!!

Julli [10]

Answer:

= 7

Step-by-step explanation:

get it right! hope you get it right!\

5 0

3 years ago

Read 2 more answers

PLEASE HELP!

shepuryov [24]

Well there is no picture but I think your answer should be 38/360 ∗100π expressed as a decimal number..
D: 28.97 ft squared I believe is the answer

7 0

4 years ago