Answer:
The Figure for Right triangle is below,
Therefore , 15 unit length represents BC.
Step-by-step explanation:
Given:
Consider a right triangle ABC, Such that
![\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15}](https://tex.z-dn.net/?f=%5Ccos%20A%3D%5Cdfrac%7B15%7D%7B17%7D%5C%5C%5C%5C%5Ctan%20A%3D%5Cdfrac%7B8%7D%7B15%7D)
To Find:
BC = ?
Solution:
In Right Angle Triangle ABC, Cosine and Tangent identity
![\cos A = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\](https://tex.z-dn.net/?f=%5Ccos%20A%20%3D%20%5Cdfrac%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20C%7D%7D%7BHypotenuse%7D%5C%5C)
![\tan A= \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}](https://tex.z-dn.net/?f=%5Ctan%20A%3D%20%5Cdfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20A%7D%7D%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20A%7D%7D)
BUT,
....Given
On Comparing,
Adjacent side to angle A = AB = 15
Opposite side to angle A = BC = 8
Hypotenuse = AC =17
Also Pythagoras theorem is Satisfies,
![(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}](https://tex.z-dn.net/?f=%28%5Ctextrm%7BHypotenuse%7D%29%5E%7B2%7D%20%3D%20%28%5Ctextrm%7BShorter%20leg%7D%29%5E%7B2%7D%2B%28%5Ctextrm%7BLonger%20leg%7D%29%5E%7B2%7D)
![(\textrm{Hypotenuse})^{2} = 17^{2}=289](https://tex.z-dn.net/?f=%28%5Ctextrm%7BHypotenuse%7D%29%5E%7B2%7D%20%3D%2017%5E%7B2%7D%3D289)
![(\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}=15^{2}+8^{2}=289](https://tex.z-dn.net/?f=%28%5Ctextrm%7BShorter%20leg%7D%29%5E%7B2%7D%2B%28%5Ctextrm%7BLonger%20leg%7D%29%5E%7B2%7D%3D15%5E%7B2%7D%2B8%5E%7B2%7D%3D289)
The Figure for Right triangle is below,
Therefore , 15 unit length represents BC.
8 wings / $10 = 0.8 wing per dollar
Hope it helps
Answer:
1: x
=
10
−
![\frac{y}{2}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B2%7D)
y
=
20
−
2
x
2: x
=
![\frac{25}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7By%7D)
y
=
![\frac{25}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7Bx%7D)
Step-by-step explanation:
Answer:
2.475 gallons
Step-by-step explanation:
12 gallons of water
1/8 = 0.125
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Answer:
just graph the 2 points then do rise over run
Step-by-step explanation: