Notice the first two vertices are reverse from each other (a,0) to (0,a)
the fourth vertex would be the reverse of the third one.
The fourth vertex would be (2a, a)
Answer:
A. (6,0)
Step-by-step explanation:
4a- 5b = 24
Check each point to see if its is true
A. (6,0)
4(6) - 5(0) = 24
24 = 24
true
B. (-5, -2)
4(-5) -5(-2)= 24
-20 +10 = 24
-10 =24
False
C. (0,6)
4(0) -5(6) =24
-30 =24
False
D. (-2, -5)
4(-2) -5(-5)=24
-8+25=24
18=24
False
The answer is C because the radius is half of the cylinder which is 2 so the Diameter will be 4 meaning the whole cylinder and 8 times 4 is 32.
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To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:
sin(53) = (side opposite angle of 53 degrees) / hypotenuse
sin(53) = x / 24
x = 24 sin(53)
x = 19.16
Hope that helped
Subtract the volume of the water from the volume of the tank to get the total volume of the marbles.
26 liters - 20.9 liters = 5.1 liters
He has 20.9 liters of water.
He has 85 marbles that add up to 5.1 liters of volume.
To find the volume of one marble, we divide 5.1 liters by 85.
(5.1 liters)/85 = 0.06 liters
The volume of each marble is 0.06 liters.
If he uses 200 marbles, the the marbles will occupy 200 * 0.06 liters = 12 liters.
The volume of the tank is 26 liters. 12 liters of volume is occupied by the marbles. The rest of the volume is water.
26 liters - 12 liters = 14 liters
