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LekaFEV [45]
2 years ago
15

Find the exact value of each trigonometric function for the given angle θ.

Mathematics
1 answer:
irina [24]2 years ago
3 0

Answer:

[rad] 2.41

Step-by-step explanation:

Since it gave you the point and the angle to find, you simply just have to solve for the inverse of cot. Remember cot is the opposite of tan, so cot is cos/sin. In that case, we plug into the calc (in radians):

cot^-1(-√5/2)

And we should get 2.41 as our answer!

You might be interested in
The mean and standard deviation for number of robberies in the U.S. from 2000 to 2015 are x̄ = 354,718 and sx = 28,803. The mean
Basile [38]

Answer:

\hat{y}=309,552.15 + 1.31x

Step-by-step explanation:

The equation for the least-squares regression is,

\hat{y}=a+bx

where b is the slope and a is the intercept.

They can be found out by,

b=r\cdot \dfrac{SD_y}{SD_x},\\\\a=\overline{y}-b\overline{x}

where,

r = correlation coefficient = 0.84

SD_y = standard deviation of y = 44,910

SD_x = standard deviation of x = 28,803

\overline{y} = mean of y = 774,140

\overline{x} = mean of x = 354,718

Putting the values,

b=0.84\cdot \dfrac{44910}{28803}=1.309\approx 1.31

a=774140-(1.31\times 354718)\approx 309,552.15

Therefore the equation is,

\hat{y}=309,552.15 + 1.31x


8 0
3 years ago
Given: ∠WXY and ∠YXZ are supplementary angles and ​ m∠WXY=75° ​ Prove: m∠YXZ=105°
mestny [16]

Answer:

m∠WXY + m∠YXZ = 180°

Replacing with the real values:

75° + m∠YXZ = 180°

m∠YXZ = 180° - 75°

<u>m∠YXZ = 105°</u>

Step-by-step explanation:

1. Let's review all the information provided to us to answer the question correctly:

∠WXY and ∠YXZ are supplementary angles

m∠WXY=75°

2. Prove : m∠YXZ=105°

Let's recall that supplementary angles are those angles whose sum is 180 degrees. Therefore,

m∠WXY + m∠YXZ = 180°

Replacing with the real values:

75° + m∠YXZ = 180°

m∠YXZ = 180° - 75°

<u>m∠YXZ = 105°</u>

6 0
3 years ago
Read 2 more answers
A jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets, 4 orange sweets and 3 white sweets. Ola chooses a sweet
Lorico [155]

Answer:

Probability to pick yellow or orange sweet = 3 / 8

Step-by-step explanation:

Given:

Number of yellow sweet = 5

Number of red sweet = 4

Number of green sweet = 8

Number of orange sweet = 4

Number of white sweet = 3

Find:

Probability to pick yellow or orange sweet

Computation:

Total number of sweets = 24 sweets

Probability to pick yellow = 5 / 24

Probability to pick orange = 4 / 24

Probability to pick yellow or orange sweet = 5/24 + 4 / 24

Probability to pick yellow or orange sweet = 9 / 24

Probability to pick yellow or orange sweet = 3 / 8

7 0
3 years ago
Evaluate 4b-a when a=12 and b=7
Ilia_Sergeevich [38]

Answer:

4b - a = 15

Step-by-step explanation:

if you replace the variables with their equivalent counterparts you get the equation 4(7) - 12 = __ when you do the math make sure to do the parentheses first then subtract, just like in elementary school remember pemdas parentheses, exponents, multiplication, division, addition, subtraction. I hope this helps.

good luck:)

Brainliestttt Plssssssss:)

4 0
2 years ago
Read 2 more answers
What is this?<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%7D%7B4%7D%20%20-%205%20%3D%20%20-%209" id="TexFormula1" title=
tigry1 [53]

Hey there!

<h2>ANSWER: f=-16</h2><h2>EXPLANATION:</h2>

\frac{f}{4}-5=-9

Simplify both sides and you get:

\frac{1}{4}f-5=9

Now add 5 to both sides and you get:

\frac{1}{4}f=-4

Now you have to multiply both sides and you get:

f=-16(ANSWER)

Hope this helps!

\text {-TestedHyperr}

6 0
3 years ago
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