Based on the problem Carl will complete...
1/6 of the job per minute.
Fred will complete 1/8 of the job per minute.
Together they will complete... 1/6+1/8 of the job per minute.
That would be 7/24.
How long will that take?
1/(7/24)=24/7=3 3/7
It will take 3 and 3/7 minutes to finish washing the car.
K=2
- A'=2(2.5)=(4,10)
- B'=2(1,2)=(2,4)
- C'=2(3,1)=(6,2)
Translation of 2 units left means change in x
- A''=(4-2,10)=(2,10)
- B"=(2-2,4)=(0,4)
- C"=(6-2,2)=(4,2)
Translation of 1 units up means change in y
- A'''=(2,10+1)=(2,11)
- B'''=(0,4+1)=(0,5)
- C'''=(4,2+1)=(4,3)
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
Answer:
30.
Step-by-step explanation:
To find the area of a rectangle, you need to multiply length x width.
A = L x W
6 x 5 = 30.
Feel free to let me know if you need more help. :)
Answer:
142.4
Step-by-step explanation: