Area of sector = 1/2 * r^2 * x where r = radius and x = angle in radians
86 = 1/2 * r^2 * pi/4
r^2 = 2 * 86 * 4 / pi = 219
r = sqrt 219
= 14.80
Answer:
It is actually not any of the answers. It is actually 0.76
Step-by-step explanation:
Mean = (40.55 + 41.51 + 42.01 + 38.76 + 36.32 + 34.28 + 35.38 + 37.48 + 40.87 + 48.32 + 41.59 + 42.71)/12 = 39.98 seconds.
In this case, the outlier comes to be the data: 48.32. If we don't consider that data point, the mean equals:
Mean = (40.55 + 41.51 + 42.01 + 38.76 + 36.32 + 34.28 + 35.38 + 37.48 + 40.87 + 41.59 + 42.71)/11 = 39.22
The difference is: 39.98 - 39.22 = 0.76
Answer:
y = 3x -4
Step-by-step explanation:
point slope form:
y - y1 = m(x-x1)
y-(-5) = 3(x-(-3))
y+5 = 3x + 9
y = 3x -4
Mr.Jones charges $800 per lesson and requires 3 lessons
That means mr Jones will charge Samantha 800x3 = $2400 in total.
Mr. Police charges $62 per lesson and requires 4 lessons,
62x4 = $248 in total.
Since mr. Police charges less than mr.Jones, it would be a better deal for Samantha.
IN CASE YOU WROTE THE QUESTION WRONG AND MR JONES CHARGES $80 PER LESSON
In that case it would be 80x3 = $240 in total
mr jones would charge less now and it would be better deal for Samantha.
Answer: True
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x^2 = x*x
5x = 5*x
Both x^2 and 5x have a factor of x in common
x^2 + 5x = x*x + 5*x
x^2 + 5x = x*x + x*5
x^2 + 5x = x*(x+5) .... use the distributive property in reverse
x^2 + 5x factors to x*(x+5)
As a way to check, you can distribute the x back in
x*(x+5) = x*x + x*5
x*(x+5) = x^2 + 5x
and we get the original expression again