Isabella flew 5 miles per minute!
Answer:
38.25 cm²
Step-by-step explanation:
We use the formula for the length of an arc to find the central angle of the sector of the circle.
Then we use the formula for the area of a sector of a circle to find the area.
Length of arc of circle of radius r:

s = arc length
n = measure of the central angle of the sector



Area of sector of circle of radius r:

A = area of sector of circle
n = measure of the central angle of the sector


Answer:
85% of 50 is 42.5
Step-by-step explanation:
Just try it. Your question is kind of confusing but 85% of 50 is 42.5.
Answer:
x<13
Step-by-step explanation:
1. Move variable [x] to left-hand side and change its sign
Move constant [10] to the right-hand side and change its sign
10>x-3
-x+10>-3-10
2. Calculate the difference [-3-10]
-x>-3-10
-x>-13
3. Change the signs [-x>-13] on both sides of the inequality and flip the inequality sign
x<13
4. Solution
x<13
Answer:
f(-3) = -20
Step-by-step explanation:
We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...
34, 10, -8, ?
The first differences of these numbers are ...
10 -34 = -24
-8 -10 = -18
And the second difference is ...
-18 -(-24) = 6
For a quadratic function, second differences are constant. This means the next first-difference will be ...
? -(-8) = -18 +6
? = -12 -8 = -20
The value of the function at x=-3 is -20.
_____
The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)