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Ilya [14]
3 years ago
7

Find an angle in each quadrant with a common reference angle with 216°, from 0°=0<360°

Mathematics
1 answer:
Naddik [55]3 years ago
7 0

Answer:

Quadrant 1: 36°

Quadrant 2: 144°

Quadrant 3 (Given): 216°

Quadrant 4: 324°

Step-by-step explanation:

A 216° angle in standard position has its terminal side in quadrant 3 since 216° is between 180° and 270°.

216° - 180° = 36°

The reference angle for 216° is 36°

Quadrant 1: 36°

Quadrant 2: 180° - 36° = 144°

Quadrant 3 (Given): 216°

Quadrant 4: 360° - 36° = 324°

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DiKsa [7]

Directly proportional to x.

<h3>What is propotionality?</h3>
  • In algebra, proportionality is the equality of two ratios.
  • A and B are in the same ratio as C and D in the formula a/b = c/d.
  • When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem.
  • By multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator, the equation can be solved.
  • Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.

Acc to our question-

  • If two variables' ratios (yx)
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Hence,Directly proportional to x.

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3 0
1 year ago
10. A bag contains 4 red balls, 6 green balls and some white balls. If the probability of not drawing a white ball in one draw b
klasskru [66]

Answer:

No of white balls = 5

Step-by-step explanation:

Given that,

Total no of red balls = 4

Total no of green balls = 6

The probability of not drawing a white ball in one draw be, P=\dfrac{2}{3}

We need to find the number of white balls. Let there are x balls.

The probability of drawing a white ball = 1 - the probability of not drawing a white ball

= 1 -2/3

= 1/3

Using the formula for solving probability of having a white ball.

P=\dfrac{\text{favorable outcome}}{\text{total no of outcomes}}\\\\\dfrac{1}{3}=\dfrac{x}{4+6+x}\\\\\dfrac{1}{3}=\dfrac{x}{10+x}\\\\10+x=3x\\\\10=2x\\\\x=5

Hence, there are 5 white balls.

3 0
3 years ago
What number is in the ten-thousandths spot of pi?
Nesterboy [21]

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1

Step-by-step explanation:

8 0
3 years ago
If f(x)=3x-2 and g(x)=2x+1,find (f+g)(x)
gizmo_the_mogwai [7]

Answer:

f(x) + g(x) = 3x - 2 + 2x + 1

(f + g)(x) = 5x - 1

5 0
3 years ago
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sdas [7]

Answer:

80%

Step-by-step explanation:

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Percentile = (8 / 10) * 100%

= 0.8 * 100%

= 80%

5 0
3 years ago
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