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Alborosie
3 years ago
11

If sin x = .42, what is cos x?

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0
We\ know:\\\\\sin^2x+\cos^2x=1\to\cos^2x=1-\sin^2x\to\cos x=\sqrt{1-\sin^2x}\\\\\sin x=0.42\\subtitute\\\\\cos x=\sqrt{1-0.42^2}=\sqrt{1-0.1764}=\sqrt{0.8236}\approx0.91
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Is a prime number is a number times itself yes it is
Sladkaya [172]

Answer:

yup

Step-by-step explanation:

7 0
3 years ago
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Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w
Sonja [21]

Answer:

173/3 feet per second

Step-by-step explanation:

So we know that jackrabbits can travel at 40 miles per hour, and we are trying find how fast they can travel in feet per second. To do this, we must first convert the 40 miles per hour into feet per hour:

\frac{40mi}{1hr}*\frac{5280ft}{1mi}=\frac{211200ft}{1hr}

So now we know that 40 miles per hour is equal to 211200 feet per hour. Now we have to convert feet per hour to feet per second. To do this, we must first find the feet per minute (60 min = 1 hr):

\frac{211200ft}{1hr}*\frac{1hr}{60min}=\frac{211200ft}{60min}=\frac{3520ft}{1min}

So now we know that 211200 feet per hour is equal to 3520 feet per minute. Now we have to convert feet per minute into feet per second (60 s = 1 min):

\frac{3520ft}{1min}*\frac{1min}{60s}=\frac{3520ft}{60s}=\frac{176ft}{3s}=\frac{173}{3}ft/s

So now we know that 3520 feet per minute is equal to 173/3 feet per second.

Since 40 miles per hour equals 211200 feet per hour which equals 3520 feet per minute which equals 173/3 feet per second, 40 miles per hour equals 173/3 feet per second.

The jackrabbits can run at 173/3 feet per second.

I hope this helps. :)

5 0
3 years ago
The length of a rectangle is 7 inches and the width is (x+2) inches. Write an expression in simplest form that represents the ar
Sveta_85 [38]
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4 0
3 years ago
Answer 7 and 8 and give the example please
maks197457 [2]
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x + .3x = 2028 \\ 1.3x = 2028 \\ x = 1560
Since x is the cost of the computer, you have your answer right there. The computer costs $2,028.


8. For this one we're going to need a proportion, but first we need to find out how much of the percentage of seeds Cliff planted. 
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Ali - 40
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All percentages add up to 100, so we'll make an equation to figure this out:
40 + 45 + x = 100 \\ 85 + x = 100 \\ x = 15
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Sorry if this is confusing at all, hope I helped!
3 0
3 years ago
1) A chemist mixes an 8% nitric acid solution with a 5% nitric acid solution. How many milliliters of the 5% solution should the
Novay_Z [31]

Suppose the chemist uses <em>x</em> mL of the 8% acid solution, and <em>y</em> mL of the 5% solution.

The chemist wants to end up with a 500 mL solution, so

<em>x</em> + <em>y</em> = 500

and wants this solution to have a concentration of 6.8% acid. This means 6.8% of this volume should be acid. By volume, the 8% solution contributes 0.08<em>x</em> mL of acid, and the 5% solution contributes 0.05<em>y</em> mL, so

0.08<em>x</em> + 0.05<em>y</em> = 0.068(<em>x</em> + <em>y</em>) = 0.068 * 500 = 34

Now,

<em>y</em> = 500 - <em>x</em>

0.08<em>x</em> + 0.05(500 - <em>x</em>) = 34

0.08<em>x</em> + 25 - 0.05<em>x</em> = 34

0.03<em>x</em> = 9

<em>x</em> = 300

The chemist must use 300 mL of the 5% solution.

6 0
3 years ago
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