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2 years ago

If rx - st = r , which expression represents x

1 answer:

5 0

Your goal is to have x by itself
Send st to other side
rx= r+st

Divide by r so x stays alone

X=(r+st)/r

Which is also equal to

X=r/r+st/r
X= 1+st/r

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PLEASE HELP ME I'M GIVING 20PTS AND MARKING BRAINLIEST!!!!

pishuonlain [190]

Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

$\cos{\theta} = \pm \frac{2\sqrt{2}}{3}$

$\tan{\theta} = \pm \frac{\sqrt{2}}{4}$

<h3>What is the trigonometric identity using in this problem?</h3>

The identity that relates the sine squared and the cosine squared of the angle, as follows:

$\sin^{2}{\theta} + \cos^{2}{\theta} = 1$

In this problem, we have that the sine is given by:

$\sin{\theta} = \frac{1}{3}$

Hence, applying the identity, the cosine is given as follows:

$\cos^2{\theta} = 1 - \sin^2{\theta}$

$\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2$

$\cos^2{\theta} = 1 - \frac{1}{9}$

$\cos^2{\theta} = \frac{8}{9}$

$\cos{\theta} = \pm \sqrt{\frac{8}{9}}$

$\cos{\theta} = \pm \frac{2\sqrt{2}}{3}$

The tangent is given by the sine divided by the cosine, hence:

$\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}$

$\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}$

$\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$

$\tan{\theta} = \pm \frac{\sqrt{2}}{4}$

More can be learned about trigonometric identities at brainly.com/question/24496175

#SPJ1

5 0

2 years ago

Elise and her dad are planning to attend the state fair. An adult ticket is $21.00. The price of an adult ticket is $10.00 more

sashaice [31]

Answer:The equation to determine how much Elise will pay for a student ticket is 2x = 33

Step-by-step explanation:

Let x represent the price of one student ticket.

Elise and her dad are planning to attend the state fair and the price of an adult ticket is $21.00

The price of an adult ticket is $10.00 more than two thirds the price of a student ticket. This means that

21 = 2/3 × x + 10

The equation to determine how much Elise will pay for a student ticket would be

2x/3 + 10 = 21

2x/3 = 21 - 10 = 11

2x = 11×3 = 33

x = 33/2 = $16.5

5 0

3 years ago

Suppose a basket of goods and services has been selected to calculate the cpi and 2014 has been selected as the base year. in 20

KATRIN_1 [288]

Consumer Price Index or also most commonly known as CPI is calculated through the equation,
CPI = (price at a certain year / price at base year) x 100
Since, we have chosen 2014 as the base year, the denominator of the fraction will be $86. Calculating the CPI for 2015,
CPI = ($90/$86) x 100
= <em>104.65</em>

4 0

3 years ago

I really need an answer pls I used all my points :’(

Mazyrski [523]

Answer:

266 tickets

Step-by-step explanation:

Ratio of adult tickets to child tickets is 4 : 3

So, if we think of these as "parts", there are 4 parts adult tickets and 3 parts child tickets.

In total there is:

4 + 3 = 7 parts

Now, given 152 adult tickets. If there are 4 parts of adult tickets, how much is each part worth?

152/4 = 38

Total amount of tickets is 7 of these "parts", so total number of tickets is:

38 * 7 = 266 tickets

5 0

3 years ago

Read 2 more answers

Fifty people were surveyed about their favorite pizza topping. The results of the survey are displayed in the circle graph. How

vekshin1

I need the picture to fully answer your question
dude.

5 0

3 years ago