In the figure below, the two triangles are similar. What is the value of X
1 answer:
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Answer:
Step-by-step explanation:
Looking at the angles, we can see that this is a 30-60-90 triangle.
The side that is with the 30° angle and the 90° angle is represented by .
So let's find x.
Divide both sides by :
.
Now the hypotenuse is always (the leg with the 90° and 60° is just x.) So,
.
Hope this helped!
<u>Answer: </u>
New machine, working alone will take 20 hours to complete 20000 aluminium cans.
<u>Solution: </u>
For sake of simplicity let’s assume new machine be Machine “N” and old machine be Machine “O”
Let’s assume cans manufacture by machine “O” in 1 hour = x
Since machine N is three times faster than “O”,
So cans manufacture by machine N in 1 hour = 3x
Cans manufactured in 1 hour when both machines are operating simultaneously is equal to cans manufacture by machine O in 1 hour + cans manufacture by machine N in 1 hour
That is cans manufactured in 1 hour when both machines are operating = x + 3x = 4x
So cans manufactured in 15 hours when both machines are operating =
Given that cans manufactured in 15 hours when both machines are operating = 20000
60x = 20000
3x = 1000 cans
As cans manufacture by machine N in 1 hour = 3x = 1000
So number of hours required by machine N to produce 1000 cans alone = 1 hour
So number of hours required by machine N to produce 1 can alone = hours
And number of hours required by machine N to produce 20000 cans = = 20 hours
Hence new machine, working alone will take 20 hours to complete 20000 cans.