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son4ous [18]
3 years ago
6

How do i find the length of side labeled y?

Mathematics
1 answer:
Daniel [21]3 years ago
4 0

Answer:

y = 3

Step-by-step explanation:

The side labeled 'y' is the 'adjacent side' of the 30° angle.  The hypotenuse of this right triangle is 2√3.

The trig function relating this 30° angle, the 2√3 hypotenuse and the adj. side labeled 'y' is the cosine:

                 adjacent side          y

cos 30° = ---------------------- = --------- , and the value of cos 30° is (√3)/2.

                        2√3                2√3

Solving for y, we get 2√3 (√3)/2, or y = 2(3)/2, or y = 3

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This is a 3 part question. Be sure to answer all of the questions. Olivia is x years old. Peyton is 6 years older than Olivia. T
Ierofanga [76]

Answer:

Step-by-step explanation:

1) Olivia is x years old. Peyton is 6 years older than Olivia. This means that Peyton's age is (x + 6) years Three times Peyton's age is equal to 24. The equation that could be used to solve for Olivia's age is

3(x + 6) = 24

2) 3x + 18 = 24

Subtracting 18 from the left hand side and the right hand side of the equation, it becomes

3x + 18 - 18 = 24 - 18

3x = 6

Dividing the left hand side and the right hand side of the equation by 3, it becomes

3x/3 = 6/3

x = 2

3) Peyton's age = x + 6 = 2 + 8

= 8 years

5 0
4 years ago
Triangle P is reflected in the line y= -x to give triangle Q
CaHeK987 [17]

Answer:

what do you mean by that question

3 0
3 years ago
According to the graph what is the value of the constant in the equation below
Trava [24]
Take the point (10,5)
5 = constant  / 10

constant = 5*10  = 50

also for the point (4 , 12.5)  constant = 4*12.5 = 50

Answer is 50 
5 0
3 years ago
Use the equations to find the perimeter equation
Law Incorporation [45]

The perimeter of the park is 3x^2 + 37x - 4

<h3>How to determine the perimeter?</h3>

The side lengths of the triangular park are:

10x + 3x^2 - 8, 12x and 15x + 4

Add these sides to determine the perimeter

P = 10x + 3x^2 - 8 + 12x + 15x + 4

Collect the like terms

P = 3x^2 + 10x + 12x + 15x - 8 + 4

Evaluate the sum

P = 3x^2 + 37x - 4

Hence, the perimeter of the park is 3x^2 + 37x - 4

Read more about perimeter at:

brainly.com/question/24571594

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6 0
2 years ago
-2x - 18 = 611-2x) + 4x
Serhud [2]

Answer:

x = (-629)/4

Step-by-step explanation:

Solve for x:

-2 x - 18 = 4 x - 2 x + 611

4 x - 2 x = 2 x:

-2 x - 18 = 2 x + 611

Subtract 2 x from both sides:

(-2 x - 2 x) - 18 = (2 x - 2 x) + 611

-2 x - 2 x = -4 x:

-4 x - 18 = (2 x - 2 x) + 611

2 x - 2 x = 0:

-4 x - 18 = 611

Add 18 to both sides:

(18 - 18) - 4 x = 18 + 611

18 - 18 = 0:

-4 x = 611 + 18

611 + 18 = 629:

-4 x = 629

Divide both sides of -4 x = 629 by -4:

(-4 x)/(-4) = 629/(-4)

(-4)/(-4) = 1:

x = 629/(-4)

Multiply numerator and denominator of 629/(-4) by -1:

Answer: x = (-629)/4

4 0
4 years ago
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