Answer: 25%
Step-by-step explanation:
first you would take 500/20
The chances of getting 6 on a six-sided die are 1/6, therefore the first one is correct.
Answer:
x=3 15/16 hours together
Step-by-step explanation:
the painter paints 1/7 of the house in 1 hour
the assistant paints 1/9 of the house in 1 hour
x=# of hours it takes them together to paint the house
(1/7)x+(1/9)x=1 (job finished)
multiply both sides by the LCM which is 63
63(1/7)x+63(1/9)x=63(1)
9x+7x=63
16x=63
x=63/16
x=3 15/16 hours together
Answer:
Given: In ΔABC , ![AD \perp BC](https://tex.z-dn.net/?f=AD%20%5Cperp%20BC)
To prove that: ![\frac{\sin B}{b} =\frac{\sin C}{c}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%20B%7D%7Bb%7D%20%3D%5Cfrac%7B%5Csin%20C%7D%7Bc%7D)
[Given]
In ΔADB
The sine angle is defined in the context of a right triangle is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle.
[By definition of sine] .....[1]
Multiplication Property of equality states that you multiply both sides of an equation by the same number.
Multiply by c to both sides of an equation [1] we get;
![c \cdot \sin B =c \cdot\frac{h}{c}](https://tex.z-dn.net/?f=c%20%5Ccdot%20%5Csin%20B%20%3Dc%20%5Ccdot%5Cfrac%7Bh%7D%7Bc%7D)
Simplify:
......[2]
Now, In ΔACD
Using definition of sine:
![\sin C =\frac{h}{b}](https://tex.z-dn.net/?f=%5Csin%20C%20%3D%5Cfrac%7Bh%7D%7Bb%7D)
Multiply both sides of an equation by b;
[Multiplication Property of equality]
Simplify:
......[3]
Substitute [3] in [2];
......[4]
Division property of equality states that if you divide both sides of an equation by the same nonzero number the sides remains equal.
[4] ⇒![\frac{\sin B}{b} =\frac{\sin C}{c}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%20B%7D%7Bb%7D%20%3D%5Cfrac%7B%5Csin%20C%7D%7Bc%7D)
Therefore, the missing statement in step 6 is;