The answer is C, as x goes to negative infinity and positive infinity, g(x) goes to negative infinity.
Answer: 216 ml
Step-by-step explanation:
400 grams = 480 ml
180 grams = ?
Since the value of 180 grams in milliliters is unknown, let the unknown be Z
Thus, 400 grams = 480 ml
180 grams = Z
To get the value of Z, cross multiply
Then, Z x 400 grams = 480ml x 180 grams
400Z = 86400
Divide both sides by 400
400Z/400 = 86400/400
Z = 216
Thus, 180 grams is equal to 216 milliliters.
Answer:
height of the building is 12.99 feet.
Step-by-step explanation:
given, try to analyse:
- ladder 15 feet long.
- 60 degree angle to the ground.
the height of the building is opposite to the angle 60° and given hypotenuse, the ladder of 15 feet long.
using sine rule:



Therefore the height of the building is 12.99 feet.
If you're using the app, try seeing this answer through your browser: brainly.com/question/2799412_______________
Let

(that is the range of the inverse sine function).
So,
![\mathsf{sin\,\theta=sin\!\left[sin^{-1}(x)\right]}\\\\ \mathsf{sin\,\theta=x\qquad\quad(i)}](https://tex.z-dn.net/?f=%5Cmathsf%7Bsin%5C%2C%5Ctheta%3Dsin%5C%21%5Cleft%5Bsin%5E%7B-1%7D%28x%29%5Cright%5D%7D%5C%5C%5C%5C%20%5Cmathsf%7Bsin%5C%2C%5Ctheta%3Dx%5Cqquad%5Cquad%28i%29%7D)
Square both sides:

Since

then

is positive. So take the positive square root and you get

Then,
![\mathsf{tan\,\theta=\dfrac{sin\,\theta}{cos\,\theta}}\\\\\\ \mathsf{tan\,\theta=\dfrac{x}{\sqrt{1-x^2}}}\\\\\\\\ \therefore~~\mathsf{tan\!\left[sin^{-1}(x)\right]=\dfrac{x}{\sqrt{1-x^2}}\qquad\qquad -1\ \textless \ x\ \textless \ 1.}](https://tex.z-dn.net/?f=%5Cmathsf%7Btan%5C%2C%5Ctheta%3D%5Cdfrac%7Bsin%5C%2C%5Ctheta%7D%7Bcos%5C%2C%5Ctheta%7D%7D%5C%5C%5C%5C%5C%5C%20%5Cmathsf%7Btan%5C%2C%5Ctheta%3D%5Cdfrac%7Bx%7D%7B%5Csqrt%7B1-x%5E2%7D%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%20%5Ctherefore~~%5Cmathsf%7Btan%5C%21%5Cleft%5Bsin%5E%7B-1%7D%28x%29%5Cright%5D%3D%5Cdfrac%7Bx%7D%7B%5Csqrt%7B1-x%5E2%7D%7D%5Cqquad%5Cqquad%20-1%5C%20%5Ctextless%20%5C%20x%5C%20%5Ctextless%20%5C%201.%7D)
I hope this helps. =)
Tags: <em>inverse trigonometric function sin tan arcsin trigonometry</em>
Answer: 6) x= 17 Same side interior angles sum to 180.
7) x= 3 Alternate exterior angles are equal.
8) x= 35 Corresponding angles are equal.
9) x= 12 Alternate interior angles are equal
Step-by-step explanation:
6) x= Same side interior angles sum to 180.
53+(8x-9)= 180
44+8x= 180
Subtract 44 from both sides
8x= 136
Divide both sides by 8
X = 17
7) x= Alternate exterior angles are equal. 15x+29= 26x-4
Subtract 15x from both sides
29= 11x-4
Add 4 to both sides
33= 11x
Divide both sides by 11
X=3
8) x= Corresponding angles are equal.
4x+7= 6x-63
Subtract 4x from both sides
7 = 2x -63
Add 63 to both sides
70= 2x
Divide both sides by 2
X= 35
9) x= Alternate interior angles are equal
9x+37= 14x-23
Subtract 9 x from both sides
37= 5x -23
Add 23 to both sides
60= 5x
Divide both sides by 5
12=x