Answer:
c) 82
Step-by-step explanation:
<ABE and <BEC are supplementary because they form a line.
<ABE + <BEC = 180
116+ x = 180
Subtract 116 from each side.
116-116+x = 180 -116
x = 64
The angles in triangle ECB add to 180 because it is a triangle
<BEC + <ECB + <CBE = 180
x + 34+y = 180
64 + 34+ y = 180
98 + y = 180
Subtract 98 from each side.
98-98+y = 180-98
y = 82
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
Question-
What is the solution of the system of equations? y=-4x+10 y=-2x-6
Answer-
y = -4x + 10
y = -2x - 6
-4x + 10 = -2x - 6
-4x + 2x = -6 - 10
-2x = -16
x = -16/-2
x = 8
y = -4x + 10
y = -4(8) + 10
y = -32 + 10
y = -22
solution is (8,-22)
Hope i helped have a wonderful day
Can i get a Brainliest please and thank you...
Answer:
1st one is 0.021
2nd one is 0.009
the last question is 0.015 tho
Answer:
56.52
Step-by-step explanation:
Since the formula for the volume of a cone is V = (1/3)*π*r^2*h, we need to multiply the fraction 1/3, the value of pi (assuming you meant 3.14), the radius squared, and the height together to get the volume. Diameter is radius times 2, so to find the radius, multiply the diameter by .5, ending up with 3. 3^2 is 9. 1/3*3.14*9*6 is equal to 56.52.
