Answer:
The show was 49 minutes long.
1. 6:15 to 7 pm is 45 minutes
PLUS
7 pm to 7:04 which is 4 minutes
45 + 4 = 49
Answer: {x,y} = {4,2}
[1] x - 4y = -4
[2] 5x - 4y = 12// Solve equation [1] for the variable x
[1] x = 4y - 4
// Plug this in for variable x in equation [2]
[2] 5•(4y-4) - 4y = 12
[2] 16y = 32
// Solve equation [2] for the variable y
[2] 16y = 32
[2] y = 2
// By now we know this much :
x = 4y-4
y = 2
// Use the y value to solve for x
x = 4(2)-4 = 4
Step-by-step explanation:
30 degrees due to the fact that all triangles interior angles add up to 180 degrees and there are two other angles meaning it is 30 degrees
Answer:
Step-by-step explanation:
This is more of a Physics problem than just a straight "math" problem because you need to know about torque and rotational equilibrium to solve it. The formula for torque is
torque = weight * length of the lever arm in meters
Since we are given the mass of each child, we need to solve for their weights, which is found by multiplying their masses by the pull of gravity, which is 9.8 m/sec/sec. This gives the weight of the 20 kg child to be 196 Newtons, and the weight of the 30-kg child to be 294 Newtons.
If the length between the 2 children is 3.5 meters, then let's say that the distance away that the heavier child is from the fulcrum is r. That makes the distance that the lighter child is away from the fulcrum as 3.5 - r. Now we can fill in the rotational equilibrium formula that says that the sum of the torques must equal 0 if the seesaw is to remain balanced. Because one torque is positive and one is negative, we can move the negative one over to the other side of the equals sign making them equal to each other, which is what rotational equilibrium is all about. Here's our formula thus far:
196(3.5 - r) = 294r and
686 - 196r = 294r and
686 = 490r so
r = 1.4
That's the distance that the heavier child is. The lighter child, then, is 3.5 - 1.4 so that distance is 2.1 meters
Answer:
b. exponential
Step-by-step explanation:
You can answer by finding the slope between the points.
