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3 years ago

Quick anyone know the answer to this?

Mathematics

1 answer:

nata0808 [166]3 years ago

4 0

The top question is B. 30, because you have to set 7y-30 equal to 4y+60 since both lengths are the same.

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Let theta be an angle in quadrant II such that cos theta = -2/3

Iteru [2.4K]

Answer:

So we have $\csc(\theta)=\frac{3 \sqrt{5}}{5} \text{ and } \tan(\theta)=\frac{-\sqrt{5}}{2}$ .

Step-by-step explanation:

Ok so we are in quadrant 2, that means sine is positive while cosine is negative.

We are given $\cos(\theta)=\frac{-2}{3}(\frac{\text{adjacent}}{\text{hypotenuse}})$ .

So to find the opposite we will just use the Pythagorean Theorem.

$a^2+b^2=c^2$

$(2)^2+b^2=(3)^2$

$4+b^2=9$

$b^2=5$

$b=\sqrt{5}$ This is the opposite side.

Now to find $\csc(\theta)$ and $\tan(\theta)$ .

$\csc(\theta)=\frac{\text{hypotenuse}}{\text{opposite}}=\frac{3}{\sqrt{5}}$ .

Some teachers do not like the radical on bottom so we will rationalize the denominator by multiplying the numerator and denominator by sqrt(5).

So $\csc(\theta)=\frac{3}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}}=\frac{3 \sqrt{5}}{5}$ .

And now $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}=\frac{\sqrt{5}}{-2}=\frac{-\sqrt{5}}{2}$ .

So we have $\csc(\theta)=\frac{3 \sqrt{5}}{5} \text{ and } \tan(\theta)=\frac{-\sqrt{5}}{2}$ .

7 0

3 years ago

Read 2 more answers

Solve: 72x + 436= -96x + 1108 X=?

erastova [34]

72x + 436= -96x + 1108x

72x+436=1012x

436=1012x−72x

436=940x

436/940=x

109/235=x

x=109/235

Hope this helps have a blessed and wonderful day!

3 0

3 years ago

Read 2 more answers

What is the volume of model A and round to the nearest whole number

Stells [14]

Answer:

A=582.94, so 583.

Step-by-step explanation:

MERRY CHRISTMAS,

Hope that helped :)

8 0

3 years ago

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Find the equation of the line I NEED HELP

choli [55]

Answer:

y = 2x + 3

Step-by-step explanation:

6 0

3 years ago

Find the value of each variable for y and z

Sveta_85 [38]

Answer:

y = 102° , z = 75°

Step-by-step explanation:

Assuming this is geometry, you must find the value of 'z' first.

Using the [Supplementary Angles Theorem] for 'z' :

105° + z = 180°

Solve for z.

z = 75°

You may also hear that those two angles are a 'Linear Pair'

Then using the formula for: [Sum of Internal Angles]

Which is: sum = (n-2) * 180° where 'n' is the number of sides

The total sum of internal angles of a quadrilateral is 360°

Now knowing 3 of the 4 interior angles, you can just do arithmetic:

99° + 84° + 75° + y = 360°

Simplify:

258° + y = 360°

Therefore:

y = 102°

3 0

3 years ago