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erma4kov [3.2K]
3 years ago
7

Using Trigonometric ratios, solve the following triangle

Mathematics
1 answer:
timurjin [86]3 years ago
4 0

Answer:

29.56

Step-by-step explanation:

From the given diagram

x = hypotenuse

27 = adjacent

Using SOH CAH TOA identity

cos theta = adj/hyp.

Cos 24 = 27/x

x = 27/cos24

x = 29.56

Hence the value of x to the hundredth place is 29.56

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What value of ‘W’ satisfies <br> 8(w+4)=38+7w<br> A. 8<br> B.6<br> C.11<br> D. 4.5
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A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75.
Andreas93 [3]

Answer:

x = $0.50

y= $0.75

Step-by-step explanation:

1. Multiply the equations to have the same coefficients

5(6x + 6y = 7.5) → 30x + 30y = 37.5

3(10x + 5y = 8.75) → 30x + 15y = 26.25

2. Subtract the equations

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<u>- 30x + 15y = 26.25</u>

15y = 11.25

3. Solve for y by dividing both sides by 15

y = 0.75

4. Plug in 0.75 for y into one of the equations

6x + 6(0.75) = 7.5

5. Simplify

6x + 4.5 = 7.5

6. Solve for x

6x = 3

x = 0.5

8 0
3 years ago
Juan is a teacher who has an annual salary of 65,798. how has to pay an income tax of 5%. What is the amount of state income tax
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