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2 years ago

Find the value of x. Give reasons to justify your solution.

Mathematics

1 answer:

Alja [10]2 years ago

6 0

Answer:

Answer attached

Step-by-step explanation:

steps and answer in attachment

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Given sin theta= 6/11 and sec theta < 0, find cos theta and tan theta.

bekas [8.4K]

Answer: option a.

Step-by-step explanation:

By definition, we know that:

$cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Substitute $sin(\theta)=\frac{6}{11}$ into the first equation, solve for the cosine and simplify. Then, you obtain:

$cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}$

As $sec\theta$ then $cos\theta$ :

$cos(\theta)=-\frac{\sqrt{85}}{11}$

Now we can find $tan\theta$ :

$tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}$

4 0

3 years ago

Read 2 more answers

A television with a price of

Digiron [165]

Answer:

C. 300=60+30w

Step-by-step explanation:

Given:

Price of television-$300

Initial Payment-$60

Weekly payments-$30

Let weekly payments be w:

The initial payment plus the weekly installments should be equivalent to the television price:

$300=60+30w\\\\240=30w\\\\w=8$

The number of weekly payments is 8 weeks and the equation to solve for w is

300=60+30w

6 0

3 years ago

How do you solve this?? Please help!

Aleks04 [339]

f = (f1 f2) / (f1 + f2)

f(f1 + f2) = f1 f2

f f 1 + f f 2 = f1 f 2

f1 f2 - f f2 = f f1

f2 (f1 - f) = f f1

f2 = (f f1) / (f1 - f) <==== solution

5 0

3 years ago

Which pair of angles are corresponding? 1 and 3 1 and 4 1 and 5 1 and 8

Marrrta [24]

I can't see where the one is bur if its on the top left it corresponds with 5 then

5 0

3 years ago

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Which fraction is closest to 1/2? A number line from negative 1 to 1 in halves. 1/6 3/8 3/4 ‐1/2

Arturiano [62]

Answer: 3/8

because 3/8 is .375
And 3/4 is .75
And 1/6 is .1666

1/2 is .50
3/8 is closest

5 0

2 years ago