Answer:
x ---- y
1 ---- 3
4 ---- 12
6 ---- 18
Step-by-step explanation:
Given
Required
Create a table that represents this scenario
Because x represents time, x can not be negative. So, the domain of x is:
Assume
Assume x = 4
Assume x = 6
Hence, the table is:
x ---- y
1 ---- 3
4 ---- 12
6 ---- 18
When two triangles are similar, they're sides are in proportion.
In order to find the unknown side, we first have to find the ratio of the larger triangle to the smaller triangle.
We can use the sides TV and LN to make the proportion.
=
The ratio between the two triangles is 21:6
Now we can solve for the unknown side.
=
Cross multiply:
8 * 21 = 6 * LM
168 = 6LM
Divide both sides by 6:
LM = 28
The unknown side's length is 28 centimeters
Good luck!
She can complete the assignment in 12 different ways B.
Answer:
36 hours.
Step-by-step explanation:
Let x represent time taken by both pipes to fill the tank.
We have been given that an inlet pipe can fill a swimming pool in 9 hours. So part of pool filled by inlet pipe in one hour would be .
We are also told that an outlet pipe can empty the pool in 12 hours. The part of pool emptied by outlet pipe in one hour would be .
Sine the time taken by both pipes to fill the tank is x hours, so part of pool filled by both pipes in one hour would be .
We will get an equation using our given information as:
Let us solve for x.
Cross multiply:
Therefore, it will take 36 hours for both pipes to fill the tank.
Step-by-step explanation: