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Lera25 [3.4K]
2 years ago
12

Does anybody know the correct answer to this?

Mathematics
1 answer:
olganol [36]2 years ago
4 0

Answer:

  • sin(X) = 4/5
  • cos(X) = 3/5
  • tan(X) = 4/3

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relations between sides and trig functions in a right triangle.

  Sin(X) = Opposite/Hypotenuse = 24/30 = 4/5

  Cos(X) = Adjacent/Hypotenuse = 18/30 = 3/5

  Tan(X) = Opposite/Adjacent = 24/18 = 4/3

_____

You may be expected to leave the trig ratios in the original unreduced form.

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In the following question solve for X please help!
Mariulka [41]

Answer:

<u>x = 6</u>

Step-by-step explanation:

Taking the sides in proportion :

  • EB/DC = AB/AC
  • 8/24 = -3 + 2x/27
  • 1/3 = -3 + 2x/27
  • 3(-3 + 2x) = 27
  • -9 + 6x = 27
  • 6x = 36
  • <u>x = 6</u>
8 0
2 years ago
Read 2 more answers
How many inches are in 43 yards
tekilochka [14]

Answer: 1548

Explanation: 1 yd = 36 inches, so all you have to do is multiply 43 by 36 and you get your answer.


6 0
3 years ago
1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that
valina [46]

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:

z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }

Given that μ = $72,641 and σ = $30,000.

a) x > $100000

z=\frac{100000-72641}{30000}=0.91

P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814

b) n = 5

x > $100000

z=\frac{100000-72641}{30000/\sqrt{5} }=2.04

P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207

c) n = 10

x > $100000

z=\frac{100000-72641}{30000/\sqrt{10} }=2.88

P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002

4 0
3 years ago
Two-thirds of the buses in the transit system run on natural gas, and the rest run on diesel. If 738 of the buses run on diesel,
Sergeu [11.5K]

9514 1404 393

Answer:

  2214 buses

Step-by-step explanation:

Diesel buses constitute 1/3 of the total, so the total number of buses is 3 times the number of diesel buses.

  total = 3·738 = 2214

The transit system has 2214 buses.

5 0
2 years ago
In the figure, find m∠RST if m∠RSU = 81° and m∠UST = 18°. Answers : A) 109° B) 81° C) 99° D) 63°
ohaa [14]
C because you add the angles together
6 0
3 years ago
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