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2 years ago

15

John always wears a shirt, pants, socks, and shoes. He owns 121212 pairs of socks, 333 pairs of shoes, 555 pairs of pants, and 5

55 shirts.
How many different outfits can John make?

1 answer:

Lelu [443]2 years ago

5 0

Answer:

12 * 3 * 5 * 5 = 900

Step-by-step explanation:

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2root3 sin^<a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="ac9eec">[email protected]</a> - <a href

Phantasy [73]

Answer:

Step-by-step explanation:

$2\sqrt{3} sin^{2} \alpha -cos\alpha =0\\2\sqrt{3} (1-cos ^2 \alpha )-cos \alpha =0\\2\sqrt{3} -2\sqrt{3} cos^2 \alpha -cos \alpha =0\\2\sqrt{3} cos^2 \alpha +cos \alpha -2\sqrt{3} =0\\cos \alpha =\frac{-1 \pm\sqrt{1^2-4*2\sqrt{3}*(-2\sqrt{3}) } }{2*2\sqrt{3} } \\=\frac{-1 \pm\sqrt{1+48} }{4\sqrt{3} } \\=\frac{-1\pm7}{4\sqrt{3} } \\either~cos \alpha =\frac{6}{4\sqrt{3} }=\frac{\sqrt{3} }{2} \\=cos \frac{\pi }{6} ,cos(2\pi -\frac{\pi }{6} )\\=cos \frac{\pi}{6} ,cos \frac{11\pi }{6}$

$\alpha =2 n\pi+ \frac{\pi }{6} ,2n\pi +\frac{11\pi }{6} (general~solution)$

$or~cos\alpha =-\frac{7}{4\sqrt{3} } \\ \alpha =cos^{-1}( \frac{-7}{4\sqrt{3} } )$

5 0

3 years ago

2. Garrett wants to know what percentage of students at his school would be interested in organizing a

tresset_1 [31]

Answer:

B

Step-by-step explanation:

This is because he would find the most students in the cafeteria. It is not A because not everyone goes to basketball games. It's not C because you're looking for where you will find the most students. And it's not D because thats local and he is trying to find how many students want to organize a club NOT random people at a movie theater.

8 0

2 years ago

PLEASE HELP ASAP!!!FOR A A TEST!

Rudiy27

Answer:

2/5

Step-by-step explanation:

If it landed right side up 12 times out of a total of 30 times, you can write this as a fraction: 12/30.

Simplify the fraction:

12/30 divided by 6/6

2/5

This means that 2/5 is the probability.

8 0

2 years ago

A train is traveling at a constant speed. The diagram represents the train's distance and time. What is the speed of the train?

Over [174]

240÷6=40 so the answer would be "The train is traveling 40 miles per hour."

6 0

2 years ago

Read 2 more answers

Solve for x: 3(x + 1) = −2(x − 1) − 4.

Vlad [161]

Answer:

Multiply the first bracket by 3

Multiply the second bracket by -2

3x+3=-2x+2-4

3x+2x+3=-2x-2 negative (-) number and positive number (+)= negative number

Just rearranging

5x+3=-2

5x+3-3=-2-3

5x=-5

Dividing by 5

5x/5=-5/5

x=-1

Check answer by using substitution method

3(-1+1)=-2(-1-1)-4

0=-2(-2)-4 negative number and negative number = positive number

0=4-4

0=0

Answer is x=-1

6 0

3 years ago