Answer:
New height = 6
Step-by-step explanation:
The water is going to be the same volume no matter how the tank is orientated.
So you can do this 2 ways.
First way
Find the volume in the tank when the water goes up 24 cm on the height.
V = L*W*h
L = 8
W = 10
H = 24
V = 1920 cm^3
Now do it using the
L = 40
W = 8
h = ?
1920 = L * W * h
1920 = 40 * 8 * h
1920 = 320 * h
h * 320 = 1920
h = 1920/320
h = 6
Or you can do it without finding the 1920
L*W*h = L1 * w1 * h1
8*10*24 = 40 * 8 * h The 8's cancel
10*24 = 40*h Divide both sides by 10
24 = 4h Divide by 4
h = 6
Same as you got before.
Answer:
187 cm²
Step-by-step explanation:
The bottom rectangle area is easy, it is 15*9 = 135 cm².
To find the area of the triangle, you only need the base width and its height (you don't need the hypotenuse). You can then use the formula: area triangle is base times half height.
The base width is 15-7 = 8 cm
The height is 22-9 = 13 cm
So the area of the triangle is 13*8/2 = 52 cm²
Together with the 135 of the rectangle that sums to 52+135 = 187 cm².
The LCD of 2/5 + k/4 = 9/10 is 20. Applying this LCD, we get:
8 + 5k = 18. Subtracting 8 from both sides: 5k = 10. Then k = 10/5, or k = 2.
Answer:
20 4/7 inches
Step-by-step explanation:
Take 12 feet and convert to inches
1 ft = 12 inches
12 * 12 = 144 inches
Divide by 7
144/7 =20 with 4 left over
20 4/7 inches
