Answer:
x=63; y=27
Step-by-step explanation:
The straight line of the 117 is 180 and so you subtract 180 to 117 to get 63 which is x and then subtract 90 and 63 to get 27.
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It takes 6 hoursto complete the work for both Lisa and Tom working together.
Step-by-step explanation:
step 1 :
Let us assume that,
Total work = 130 units (take a number that can be divisible by both 10 and 13)
step 2 :
Lisa completes the work in 10 hours.
Lisa's work per hour=total work / time taken to complete the work
= 130 / 10 = 13 units per hour
step 3 :
Tom completes the work in 13 hours.
Tom's work per hour =total work / time taken to complete the work
= 130 / 13 = 10 units per hour
step 4 :
Both Lisa and Tom can work per hour = 13 units + 10 units
= 23 units per hour
step 5 :
Working together can complete the total work in = total work / time taken to complete the work together
= 130 units / 23 units per hour = 5.65 (which is approximately 6 hours).
∴ Time taken by working together = 6 hours.
What would the volume of the prism be if each dimension were halved?
Let the width=x mtr
So the length will be x+8 mtr
so the are of the rectangle will be=x(x+8)=240
x²+8x=240
x²+8x-240=0
x²+20x-12x-240=0
x(x+20)-12(x+20)=0
(x+20)(x-12)=0
x-12=0 i.e x=12 mtr
so the length=12+8=20 mtr