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3 years ago

Use the sum and difference identities to find the exact values of the sine, cosine, and tangent of the angle. . 165 = 135 + 30

1 answer:

4 0

So lets get to the problem

165°= 135° +30° 

To make it easier I'm going to write the same thing like this 
165°= 90° + 45°+30° 

Sin165° 
= Sin ( 90° + 45°+30° ) 
= Cos( 45°+30° )..... (∵ Sin(90 + θ)=cosθ 
= Cos45°Cos30° - Sin45°Sin30° 

Cos165° 
= Cos ( 90° + 45°+30° ) 
= -Sin( 45°+30° )..... (∵Cos(90 + θ)=-Sinθ 
= Sin45°Cos30° + Cos45°Sin30° 

Tan165° 
= Tan ( 90° + 45°+30° ) 
= -Cot( 45°+30° )..... (∵Cot(90 + θ)=-Tanθ 
= -1/tan(45°+30°) 
= -[1-tan45°.Tan30°]/[tan45°+Tan30°] 

Substitute the above values with the following... These should be memorized 
Sin 30° = 1/2 
Cos 30° =[Sqrt(3)]/2 
Tan 30° = 1/[Sqrt(3)] 
Sin45°=Cos45°=1/[Sqrt(2)] 
Tan 45° = 1

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HELPPP!!!

xxMikexx [17]

The angles ∠CFE and ∠AFB are vertically opposite angles. Then the value of x will be 6.

<h3>What is an angle?</h3>

Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

We know that the angle ∠DFE is 90°.

Then the sum of the angle ∠CFD and ∠DFE will be

∠CFD + ∠DFE = 27° + 90°

∠CFD + ∠DFE = 117°

Then the angles ∠CFE and ∠AFB are vertically opposite angles. Then we have

∠CFD = ∠DFE

Put the values

21x - 9 = 117

21x = 126

x = 6

More about the angled link is given below.

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2 years ago

Which measure of central tendency is the most affected by outliers

aliina [53]

Mean measure of central tendency is the most affected by outliers. Then the correct option is B.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

Mean measure of central tendency is the most affected by outliers.

Then the correct option is B.

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2 years ago

What is the length of XZ

Artemon [7]

Answer:

$XZ=13\ units$

Step-by-step explanation:

we know that

In the right triangle of the figure XYZ

Applying the Pythagorean Theorem

$XZ^2=XY^2+YZ^2$

substitute the given values

$XZ^2=12^2+5^2$

$XZ^2=144+25$

$XZ^2=169$

square root both sides

$XZ=13\ units$

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2 years ago

How do you do approximate probability

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1.Verify whether n is large enough to use the normal approximation by checking the two appropriate conditions.
2.Translate the problem into a probability statement about X.

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3 years ago

Kyla spends 60 Minutes of each day exercising. Let d be the number of days that Kyla exercises, and let m represent the total nu

stealth61 [152]

Answer: There is linear relationship between the number of days that Kyla exercise in the total minutes that she exercises.

The independent variable is 'd' and m is the dependent variable which depends on the number of days she exercise.

The linear equation for the situation is given by

$m=60d$

Step-by-step explanation:

Let d be the number of days that Kyla exercises, and let m represent the total numbers of minutes she exercise.

Kyla spends 60 Minutes of each day exercising which is constant .

Then the total numbers of minutes she exercise(m) in d days is given by

$m=60d$ which is the linear equation.

The relationship between the number of days that Kyla exercise in the total minutes that she exercises is linear, where d is the independent variable, and m is the dependent variable which depends on the number of days she exercise.

[ad d increases m increases by rate of 60 minutes per day]

The linear equation for the situation is given by

$m=60d$

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2 years ago