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<u>Answer: </u>
Kyle gave 2/7th of his money to his wife and spent 3/5 of the remainder. If he had $300 left, the money had by Kyle at first is $1050
<u>Solution: </u>
Step 1:
Consider “x” as the money which Kyle had initially.
From question, Kyle gave 2/7th of his money to his wife. So the remaining money left with Kyle is given as,
----- eqn 1
Now the remaining money left with Kyle is 5/7th.Given that Kyle spent 3/5 of the remaining money.
Now the remaining money left with Kyle is given as
Now kyle is left with $300, which is 2/5th of the initial money x .
We get equation as
2x = 1500
x = 750
Now Kyle is left with 750$ which is 5/7th of the initial amount x.( by using eqn 1)
We get equation as
5x = 5250
x = 1050
So the amount had by Kyle at first is $1050
Answer:
1.5887 cm
Step-by-step explanation:
If the time is 13:30, The hour pointer will be between the numbers 1 and 2.
Each number of the 12 number clock is separated by 30 degrees, so the hour pointer is at 45 degrees.
The minute pointer is at 30 minutes, so it is in number 6, being therefore at angle 180.
The angle formed by the pointers will be 180 - 45 = 135 degrees.
We can draw a triangle with both pointers and this angle (image attached)
So, we can calculate the distance between the tip of the pointers (let's call it "d") using law of cosines:
d^2 = 0.7^2 + 1.2^2 - 0.7*1.2*cos(135)
d^2 = 0.49 + 1.44 - (-0.5940) = 2.524
d = 1.5887 cm
