Answer:
see explanation
Step-by-step explanation:
the result 0 = 0
means the equation has an infinite number of solutions
Answer:
20 gallons
Step-by-step explanation:
105/15=7
7*20=140
Answer:
Step-by-step explanation:
From the given right-angle triangle
The angle = ∠60°
-
The adjacent to the angle ∠60° is 1/2.
- The opposite to the angle ∠60° is y.
The hypotenuse = x
<u>Determining the value of x:</u>
Using the trigonometric ratio
cos 60° = adjacent / hypotenuse
substituting adjacent = 1/2 and hypotenuse = x
![cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}](https://tex.z-dn.net/?f=cos%5C%3A60%5E%7B%5Ccirc%20%7D%3D%5C%3A%5C%3A%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7Bx%7D)
![\cos \left(60^{\circ \:}\right)=\frac{1}{2x}](https://tex.z-dn.net/?f=%5Ccos%20%5Cleft%2860%5E%7B%5Ccirc%20%5C%3A%7D%5Cright%29%3D%5Cfrac%7B1%7D%7B2x%7D)
∵ cos (60°) = 1/2
![2x=2](https://tex.z-dn.net/?f=2x%3D2)
Dividing both sides by 2
![\frac{2x}{2}=\frac{2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B2%7D%7B2%7D)
Simplify
![x=1](https://tex.z-dn.net/?f=x%3D1)
Thus, the value of hypotenuse x is:
x = 1
<u>Determining the value of y:</u>
Using the trigonometric ratio
sin 60° = opposite / hypotenuse
As we have already determined the value of hypotenuse x = 1
substituting opposite = y and hypotenuse = 1
sin 60° = y/1
y = 1 × sin 60°
∵ ![\sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Csin%20%5Cleft%2860%5E%7B%5Ccirc%20%5C%3A%7D%5Cright%29%3D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
Therefore, the value of y is:
Summary:
Answer:
4592.7
Step-by-step explanation:
Add them up:
4000 + 500 + 90 + 2 + 0.7 = 4592.7
Answer: B= 11
Step-by-step explanation: