Y=5x+2 is a linear function because it increases at a constant rate. Also, it is a straight line, unlike quadratic and exponential functions.
Answer:
42 minutes because i add 33min and 1/2 hours together and got 42
Step-by-step explanation:
42 minutes because i add 33min and 1/2 hours together and got 42
Answer:
The trigonometric ratios are presented below:
![\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7BAC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cot \theta = \frac{BC}{AC}](https://tex.z-dn.net/?f=%5Ccot%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7BAC%7D)
![\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}](https://tex.z-dn.net/?f=%5Csec%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BBC%7D)
![\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}](https://tex.z-dn.net/?f=%5Ccsc%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BAC%7D)
Step-by-step explanation:
From Trigonometry we know the following definitions for each trigonometric ratio:
Sine
(1)
Cosine
(2)
Tangent
(3)
Cotangent
(4)
Secant
(5)
Cosecant
(6)
Where:
- Adjacent leg.
- Opposite leg.
- Hypotenuse.
The length of the hypotenuse is determined by the Pythagorean Theorem:
![h = \sqrt{x^{2}+y^{2}}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%7Bx%5E%7B2%7D%2By%5E%7B2%7D%7D)
If
and
, then the trigonometric ratios are presented below:
![\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7BAC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cot \theta = \frac{BC}{AC}](https://tex.z-dn.net/?f=%5Ccot%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7BAC%7D)
![\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}](https://tex.z-dn.net/?f=%5Csec%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BBC%7D)
![\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}](https://tex.z-dn.net/?f=%5Ccsc%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BAC%7D)
The answer is <u>143 miles.</u>
<h3>
EXPLANATION</h3>
The ratio between Dory's miles and Karly's miles is 11:1. This means that we need to <em>divide 156 by 12, </em>which is <u>13.</u>
Because Dory's miles make up 11/12 of the total miles, we need to take 1/12 (which is 13) from the 156 to get the final answer of <u>143 miles.</u>
He can run 100 meters in 14 seconds or 328 ft in 14 seconds.