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horsena [70]
2 years ago
5

Solve for n: n/3 + 10 = 16

Mathematics
1 answer:
Maslowich2 years ago
4 0

Step-by-step explanation:

n/3+10=16

n/3=16-10

n/3=6

n=6/3

n=2

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Trigonometry Identities help please
sesenic [268]

theta is in the fourth quadrant where the cosine is positive.


the third side in the triangle = sqrt (4 - 2) = sqrt2


So sin theta = -sqrt2/2 = Second choice (negative because sine is negative in 4th quadrant)


tan theta = - sqrt2 / sqrt2 = -1

6 0
3 years ago
Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle
mario62 [17]

The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

   have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ tan(x)=\frac{XZ}{XY}

∴ tan(x)=\frac{10}{12}

- To find x use the inverse of tan(x)

∵ x=tan^{-1}(\frac{10}{12})

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Round off the following numbers to the nearest thousand. 19. 674,620 20. 355,500
Oksana_A [137]

Answer:

1) 675,000.

2) 356,000

Step-by-step explanation:

There are some rules to round off to the nearest thousand.

1. While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’.

2. If the digit in the hundreds place is = to or > 5, then the hundreds place is replaced by ‘0’ and the thousands place is increased by 1.

We have given two numerals:

1)<u> 674,620</u>

According to the second rule defined the digit at the hundreds place is greater than 5 than the thousands place will be increased by 1.

The answer is 675,000.

2) <u>355,500</u>

According to the second rule defined the digit at the hundreds place is greater than 5 than the thousands place will be increased by 1.

The answer is 356,000....

4 0
3 years ago
Which of the following segments is a radius of OO?
Sergio039 [100]

Answer:

RO

Step-by-step explanation:

3 0
2 years ago
5(x−6+3x)2−6 where x=2 .
hram777 [196]

Answer:

14

Step-by-step explanation:

5(x−6+3x)2−6

10(4x-6)-6

40x-60-6

40x-66

x=2

40*2-66

80-66

14

4 0
3 years ago
Read 2 more answers
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