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2 years ago

6

Find the measure of the angle indicated

1 answer:

Daniel [21]2 years ago

4 0

Answer:

Step-by-step explanation:

59°

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A recipe for a soup.calls for 1/3 cup of chopped onion and 2/6 cup of chopped

Anestetic [448]

Answer: 2/3

Step-by-step explanation:

5 0

2 years ago

Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III

vodka [1.7K]

Given:

$\sin x=-\dfrac{15}{17}$

x lies in the III quadrant.

To find:

The values of $\sin 2x, \cos 2x, \tan 2x$ .

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.

We know that,

$\sin^2 x+\cos^2 x=1$

$(-\dfrac{15}{17})^2+\cos^2 x=1$

$\cos^2 x=1-\dfrac{225}{289}$

$\cos x=\pm\sqrt{\dfrac{289-225}{289}}$

x lies in the III quadrant. So,

$\cos x=-\sqrt{\dfrac{64}{289}}$

$\cos x=-\dfrac{8}{17}$

Now,

$\sin 2x=2\sin x\cos x$

$\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})$

$\sin 2x=-\dfrac{240}{289}$

And,

$\cos 2x=1-2\sin^2x$

$\cos 2x=1-2(-\dfrac{15}{17})^2$

$\cos 2x=1-2(\dfrac{225}{289})$

$\cos 2x=\dfrac{289-450}{289}$

$\cos 2x=-\dfrac{161}{289}$

We know that,

$\tan 2x=\dfrac{\sin 2x}{\cos 2x}$

$\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}$

$\tan 2x=\dfrac{240}{161}$

Therefore, the required values are $\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}$ .

7 0

2 years ago

Andre has $ 90 dollars to spend on sneakers. This is 75% of the cost of the sneakers. How much more will the need? Solve and exp

goldenfox [79]

Answer:

I suppose the answer would be 120

Step-by-step explanation:

Well if 90 is 75% then 50% should be 60 and 25% should be 30.

so its going up and down by 30, so that would make 100% 120

please give brainliest

7 0

2 years ago

The length of a rectangle is 3 less than 2 times the width if the perimeter is 60 what is the length

Semenov [28]

P=2w+(2w-3)
60=4w-3
63=4w
15.75=w

l=2w-3
l=(2×15.75)-3
l=31.5-3
l=28.5

This answer doesn't add up so if you meant the COMBINED width then:

P=w+(2w-3)
60=3w-3
63=3w
21=w

l=2(21)-3
l=42-3
l=39

(This answer checks out so this is probably what you meant hope I helped)

7 0

2 years ago

A rectangular garden has a walkway around it. The area of the garden is 4(6.5x+3.5). The combined area of the garden and the w

alexdok [17]

Answer:The area of the walkway around is 26 x + 16 as the sum of two terms

Step-by-step explanation:

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2 years ago