It depends on whether or not you have written the question correctly. If the 2 is an exponent, it needs to be preceded by a ^. Otherwise, it is considered a multiplier.
x^2 = x²
x2 = x⋅2
y = x²-1 is nonlinear and nonproportional.
Answer: The distace between midpoints of AP and QB is 
.
Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:
AP + PQ + QB = a
According to the question, AP = 2 PQ = 2QB, so:
PQ = 
QB =
Substituing:
AP + 2*() = a
2AP = a
AP = 
Since the distance is between midpoints of AP and QB:
2QB = AP
QB =
QB = 
QB = 
MIdpoint is the point that divides the segment in half, so:
<u>Midpoint of AP</u>:
<u>Midpoint of QB</u>:
The distance is:
d = 
d =
To calculate the volume of a sphere you must use the formula
v=4/3pir^3
The radius (r) is half of the diameter
r=13.5
v=4/3pi13.5^3
v=10305.99
Therefore the volume of the sports ball is 10306cm^3 (to the nearest tenth)
9514 1404 393
Answer:
$364,130.83
Step-by-step explanation:
You put in $160 monthly for 32 years, so your contribution is ...
$160×12×32 = $61,440
The difference between the account balance and your contribution is ...
$425,570.83 -$61,440 = $364,130.83
There is $364,130.83 more in the account than what you put in.
Answer:
Rectangle 1 area: 53 units squared
Shape 2 area: 43.75 units squared
Step-by-step explanation:
Shape 1:
We need to find the area of the two triangles in this rectangle and subtract it from the total area of the rectangle.
Total area of the rectangle:
13 * 5 = 65
Area of triangles (they are congruent):
1/2 * 4 * 3 = 6
6 * 2 = 12
65 - 12 = 53
The area of the shaded part is 53 (I don't know what your unit of measurement is. Just say units.)
Shape 2:
First, let's find the area of the parallelogram at the top.
10 * 3 = 30
Now, let's find the area of the rest of the shape. Triangle first...
1/2 * 4 * 1.5 = 3
Now, the rectangle and the tiny triangle we can section out at the end:
7 * 1.5 = 10.5 + 1/4 (Triangle) or 0.25 = 10.75
Total area: 10.75 + 3 + 30 = 43.75
