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Vikki [24]
2 years ago
15

Can someone help me? With all the problems and with work

Mathematics
1 answer:
Lemur [1.5K]2 years ago
4 0

Answer:

5.006

41.056

31.289

51.977

7.884

Step-by-step explanation:

1) sin x = opposite side / hypotenuse

sin 24.3° = 2.06 / hyp

hyp = 2.06 / sin 24.3  = 5.<u>0059</u>006616019108320511866543651

rounding to 3 significant figures

= 5.006

2)cos x = adjacent side / hypotenuse

cos 47 = 28 / x

x = 28 / cos 47 = 41.<u>0558</u>17197909497891901840157945

= 41.056

3) cos x = adjacent side / hypotenuse

cos 56.1 = x / 56.1

x = 56.1 * cos 56.1 = 31.<u>2895</u>00613760617368691451544764

= 31.289

4) tan x = opposite side / adjacent side

tan 68 = x / 21

x = 21 * tan 68 = 51.<u>9768</u>239217422123300402781676

= 51.977

5) sin x = opposite side / hypotenuse

sin 21 = x / 22

x = 22 * sin 21 = 7.<u>8840</u>948899966060166510313670963

= 7.884

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Mamont248 [21]

Answer:

11/20 cups left

Step-by-step explanation:

first, we need to convert 3/4 and 1/5 into fractions with common denominators

so we would have:

15/20 and 4/20

now we need to subtract the fractions to get the difference

so we would do:

15/20 - 4/20 = 11/20

and that's the answer

hope that helped

5 0
2 years ago
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What is 1-2sin^2x=sinx <br> Please show steps and find all solutions in interval [0,2pi)
Svetlanka [38]

Answer:

\large\boxed{x=\dfrac{3\pi}{2}\ \vee\ x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}

Step-by-step explanation:

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\sin x=-1\to x=-\dfrac{\pi}{2}+2k\pi,\ k\in\mathbb{Z}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}\\\\x\in[0,\ 2\pi)

x=-\dfrac{\pi}{2}\notin[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+2\pi=\dfrac{3\pi}{2}\in[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+4\pi=\dfrac{7\pi}{2}\notin[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}+2\pi=\dfrac{13\pi}{6}\notin[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}+2\pi=\dfrac{17\pi}{6}\notin[0,\ 2\pi)

4 0
3 years ago
a school has 450 learners.the ratio of boys to the number of girls is 7:8 determine the number of boys and girls in the school​
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Answer:

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girls: 240

Step-by-step explanation:

7+8=15

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boys: 30*7= 210

girls: 240

to make sure......

210+240=450

6 0
3 years ago
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Don't listen to the other guy. The ANSWER is A). 1209. Your welcome!

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3 years ago
Suppose we want to choose 2 letter, without replacement, from the 3 lettersA, B, C.
Lyrx [107]

Answer:

3

Step-by-step explanation:

We can choose three ways:AB, AC, BC, as the order is not important.

Or you can calculate 3C2=(3×2)/(1×2)=3

3 0
3 years ago
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