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mezya [45]
3 years ago
10

Please help me i dont get it at all

Mathematics
1 answer:
Hitman42 [59]3 years ago
8 0

y = 218.2. The lenght of side y by  trigonometry is 218.2.

In order to solve this problem we are going to use the angles and sides of a right triangle and its relation by expressions that we call trigonometric ratios.

In the image we can see that the lenght of the opposite leg is 141 , we do not know the lenght of the adjacent leg y and the hypotenuse x. The key to solve this problem is to use trigonometric ratios and the equation tan θ = sin θ/cos θ = opposite leg/adyacent leg = 141/y

Clear for y for the equation tan θ = sin θ/cos θ = 141/y, we obtain:

y = arctan θ (141)

y = arctan (43°)(141) = 218.2

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Yolanda received 17 calls on first day, 11 calls on second day and 68 calls on third day.

Step-by-step explanation:

Given,

Total calls received = 96

Let,

x be the number of calls received on second day.

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Calls received on third day = 4(x+6)

Sum of calls received on three days = Total

x+(x+6)+4(x+6)=96\\x+x+6+4x+24=96\\6x+30=96\\6x=96-30\\6x=66

Dividing both sides by 6

\frac{6x}{6}=\frac{66}{6}\\x=11

Calls received on first day = x+6 = 11+6 = 17 calls

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Calls received on third day = 4(11+6) = 4(17) = 68 calls

Yolanda received 17 calls on first day, 11 calls on second day and 68 calls on third day.

Keywords: addition, linear expression

Learn more about linear expressions at:

  • brainly.com/question/9214411
  • brainly.com/question/9231234

#LearnwithBrainly

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Step-by-step explanation:

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Answer:

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12

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