Answer:
Area of semicircle = 25.1 yards^2
Area of square = 64 yards ^2
Then add them together for the total amount
Answer:

Step-by-step explanation:
So, as balloon reaches its maximum height i.e. 11 m , its velocity become 0.
Therefore,
.
It is given that acceleration due to gravity should be taken as ,
.(because it direction is down)
Now it is also given that upward direction is positive and downward direction is negative. So velocity should be negative.
Using equation of motion,
.....eqn 1.
where , displacement = -11 m(because it displace towards down) and 
Putting these values in eqn 1 .


But as we know direction of velocity is downward.
Therefore, 
where negative sign indicates its direction is downward.
Answer:
x => y
0 => 0
2 => 3
4 => 6
-2 => -3
Step-by-step explanation:
The equation of a proportional relationship is represented as y = kx,
where, k = y/x
We are given that k = ³/2
This means that, equation of the relationship therefore would be:
y = ³/2x
Use this equation to solve for each missing value on the table given:
✔️Where, y = 0, substitute y = 0 into y = ³/2x to find x:
0 = ³/2x
0 * 2 = 3x
0 = 3x
0/3 = x
x = 0
✔️Where, x = 2, substitute x = 2 into y = ³/2x to find y:
y = ³/2(2)
y = 3
✔️Where, y = 6, substitute y = 6 into y = ³/2x to find x:
6 = ³/2x
6 * 2 = 3x
12 = 3x
12/3 = x
x = 4
✔️Where, x = -2, substitute x = -2 into y = ³/2x to find y:
y = ³/2(-2)
y = -3
Answer:
8cm
Step-by-step explanation:
x is similar to the side 12cm.
We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.
Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.
Find the scale factor:
Triangle 1/Triangle 2
Divide two similar sides.
6/9 = 2/3
Multiply the scale factor by the similar side to find x.
x = 12*(2/3)
x = 8
Answer:
3y - 2x
Step-by-step explanation: