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Nutka1998 [239]
2 years ago
8

what trigonometric expression can be used to find the value of x? replace a and b with the correct values.

Mathematics
1 answer:
Margaret [11]2 years ago
4 0

The trigonometric function that can be used to find the value of x is 12 / tan ( 25 ) . The correct values of a and b will be 12 and 25 resp . .

Given :

A right angle triangle , one angle = 25 ° and side opposite given angle = 12 units .

Trigonometric Formula for Tan θ

tan θ = perpendicular / base , tan θ = ( sin θ / cos θ ) , tan θ = ( 1 / cot θ ) .

where θ = 25 , perpendicular = 12 , base = x .

Substituting values in above first formula ,

tan 25 = 12 / x

Therefore , x = 12 / tan ( 25 ) .

Hence , a = 12 and b = 25 .

To know more on trigonometry :

brainly.com/question/27998034

#SPJ4

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An auto manufacturing company wanted to investigate how the price of one of its car models depreciates with age. The research de
sertanlavr [38]

Answer:

a)

Price=150.414-16.626 Age

b)

$34.032

c)

We can't estimate the price of 18 year old car using the above regression equation because the price of 18 year old car falls outside the scope of the model

Step-by-step explanation:

Age(X)   Price(Y)

8              18

3              94

6              50

9              21

2              145

5              42

6              36

3              99

a)

The regression equation can be written as

y=a+bx

b=\frac{sum(x-xbar)(y-ybar)}{sum(x-xbar)^{2} }

a=ybar-bxbar

xbar=sumx/n

xbar=(8+3+6+9+2+5+6+3)/8=5.25

ybar=sumy/n

ybar=(18+94+50+21+145+42+36+99)/8=63.125

x y x-xbar y-ybar (x-xbar)^2 (x-xbar)(y-ybar)

8 18 2.75  -45.125 7.5625        -124.09375

3 94 -2.25 30.875 5.0625        -69.46875

6 50 0.75 -13.125 0.5625        -9.84375

9 21 3.75  -42.125 14.0625        -157.96875

2 145 -3.25 81.875 10.5625        -266.09375

5 42 -0.25 -21.125 0.0625         5.28125

6 36 0.75 -27.125 0.5625        -20.34375

3 99 -2.25 35.875 5.0625        -80.71875

Total             43.5        -723.25

b=\frac{sum(x-xbar)(y-ybar)}{sum(x-xbar)^{2} }

b=-723.25/43.5

b=-16.626

a=ybar-bxbar

a=63.125-(16.626)*5.25

a=150.414

Thus, the required regression equation is

y=150.414-16.626 x

Price=150.414-16.626 Age

b)

For predicting price of 7 years old car we put x=7 in the estimated regression equation

y=150.414-16.626 x

y=150.414-16.626(7)

y=150.414-116.382

y=34.032

The predicted price of a 7 year old car is $34.032.

c)

We can't estimate the price of 18 year old car using the above regression equation because the price of 18 year old car falls outside the scope of the model. The estimate of price is only valid for 2 to 9 year old car.

8 0
3 years ago
Is 5/8 grater than or equal to 11/16
expeople1 [14]
Answer: it’s actually less than 11/16

Explanation: to get 5/8 to an equal numerator to compare the two, you’d have to multiply 5/8 by 2. That will be 10/16. Which is less than 11/16.
5 0
3 years ago
If y=−3x+5, what is y when x=2/3?
a_sh-v [17]

Answer:

y = 3

Step-by-step explanation:

-3(2/3) + 5= y

-3 * 2/3 = -2

-2 + 5 = 3

So the answer is y = 3

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2 years ago
I need help with school
Nesterboy [21]

I’m really sorry about the other persons rudeness.

0.5 would be the answer because you are starting at 1 1/3 and moving 5/6 to the left

3 0
3 years ago
Classify -2x4 - x3 + 8x2= 12 by degree.
AlexFokin [52]
 they answer to this equation is

quintic

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3 years ago
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