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.
Given that the length of one leg is 6 and the angle is 40°
The hypotenuse is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting the values, we get;

Simplifying, we have;


Dividing, we get;

Therefore, the value of x is 7.83(app.)
Hence, Option A is the correct answer.
Answer:
the plane would fall and crash at 150mph
Step-by-step explanation:
The moon is roughly a sphere, with an average radius of 1,738 kilometers.
The area of a sphere is 4 pi R² .
Area of the moon = (4 pi) (1,738 km)² =
(12.566) (3,020,644 km²) = 3.796 x 10⁷ km²
Answer:
a. No
b. Yes
c. No
d. Yes
e. Yes
Step-by-step explanation:
3(x+2) simplified is equal to (3)x+(3)2 which is simplified to 3x+6.
a. 3x+2 is not the same as 3x+6 so it is false.
b. 3(2+x) is simplified to (3)2+3(x) which is simplified to 6+3x or 3x+6 which is equal to 3x+6 so it is true.
c. 3x+2x is simplified to 5x which is not equal to 3x+6 so it is false.
d. x+2x+2+4 is simplified to 3x+6 which is equal to 3x+6 so it is true.
e. x+x+x+1+1+1+1+1+1 is simplified to 3x+6 which is equal to 3x+6 so it is true.
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