Area of a sector: 1/2r^2 theta
Need theta
Let x be theta for now
42.25 pi = 1/2r^2x
84.5pi = r^2x
84.5pi = 169x
x = 84.5pi/169 = roughly 1.57 in radians
Radians => degrees is 1.57 * 180/pi or roughly 90.
Answer:
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
Yes,
There is a direct proportional relationship
between the cost of items before tax and the
cost of items after tax.
5.0
Step-by-step explanation:
Given - A city has a 5% sales tax.
To find - Is there a proportional relationship
between the cost of items
before tax and the cost of items after
tax?
Proof
Yes, cost of items before tax is directly
proportional to cost of items after tax.
Reason
With the increase in the sales tax, there is
increase in the cost of items after tax, therefore,
there is a direct relation between cost of items
before tax and cost of items after tax.
Answer:
hmm this is tough but i would have to say good evening
Step-by-step explanation: