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nexus9112 [7]
1 year ago
4

Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)

Mathematics
1 answer:
Levart [38]1 year ago
6 0

The measure of angle x is 53.13 degrees and the measure of the angle y is 36.87 degrees.

<h3>What is the trigonometric ratio?</h3>

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

The complete question is:
Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only)

To find the measure of x:

We can apply the sin ratio:

sinx = 4/5

sin x = 0.8

x = sin⁻¹(0.8)

x = 53.13 degrees

Let the angle O is y

y = 180 - 90 - 53.13

y = 36.87 degrees

Thus, the measure of the angle x is 53.13 degrees and the measure of the angle y is 36.87 degrees.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

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Step-by-step explanation:

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3 years ago
Can I have help solving for x?:))
zvonat [6]

Answer:

24.8

Step-by-step explanation:

We will have to use trigonometry here to find the value of x. The first thing we can see is that we need to work out the hypotenuse. We need to chose whether to use Sin, Cos or Tan. We do that by look at the sides .

→ 'x' is the hypotenuse

→ 12 is opposite

→ The adjacent is the side that doesn't have a numerical value to we look for a formula triangle without adjacent in it

Tan = Opposite ÷ Adjacent

Sin = Opposite ÷ Hypotenuse

Cos = Adjacent ÷ Hypotenuse

We can see the Sin formula has no adjacent in it so we use that formula. However we want to work out the hypotenuse so we have to rearrange the sin formula to get hypotenuse as the subject so

Sin = Opposite ÷ Hypotenuse

Hypotenuse = Opposite ÷ Sin

→ Let's substitute in the values

Hypotenuse = 12 ÷ Sin(29)

Hypotenuse = 24.7519841

So the value of x is 24.8 to 1 decimal place

6 0
3 years ago
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Step-by-step explanation:

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3 years ago
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3 years ago
Write the equation of the line that passes through the point (-2, 7) and is PARALLEL to the line y = -4x + 1.​
qwelly [4]

Answer:

The equation is y=x-9

Step-by-step explanation:

If we want a line parallel to the line in the problem it will have the same slope. The equation given in the problem is already in slope intercept form so we can take the slope for the new equation directly from this equation.

The slope-intercept form of a linear equation is:  y=mx+b

Where  m  is the slope and  b  is the y-intercept value.  

y=1x-2

Therefore the slope is  

m=1

We can now use the point-slope formula to write the equation of the parallel line:

The point-slope formula states:  

(y-y1)=m(x-x1)

Where  m  is the slope and  (x1,y1) is a point the line passes through.  

Substituting the information from the problem gives:

(y- (-7)=1(x-2)

(y+7)=1(x-2)

Or, we can solve for  y  to put the equation in slope-intercept form:

y+7=x-2

y+7-7=x-2-7

y+0=x-9

y=x-9

3 0
3 years ago
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