Answer:
proportional relationship
Step-by-step explanation:
proportional relationships are straight lines that go thru the origin
This is a straight line going thru (0,0) so it is a proportional relationship
Answer:
We have a small circle, that is dilated by a factor of 5/3 creating a larger circle.
If the smaller circle has a diameter D, then after the dilation, the larger circle will have a diameter equal to: (5/3)*D
We know that the area of the larger circle is:
A = 100*pi cm^2.
And the area of a circle of diameter d, is:
a = pi*(d/2)^2
knowing that the diameter of the large circle is (5/3)*D, we can find the value of D.
A = pi*( (5/3)*D/2)^2 = 100*pi cm^2
let's solve this for D:
pi*( (5/3)*D/2)^2 = 100*pi cm^2
( (5/3)*D/2)^2 = 100 cm^2
( (5/3)*D/2) = √(100 cm^2) = 10cm
D/2 = (3/5)*10cm
D = 2*(3/5)*10cm = 12cm.
Then the area of the smaller circle will be:
a = pi*(D/2)^2 = pi*(12cm/2)^2 = pi*(6cm)^2 = pi*36 cm^2
and pi = 3.14
a = pi*36 cm^2 = 3.14*36cm^2 = 113.04 cm^2
Answer: multiply by 3
Step-by-step explanation:
I know this because the relation ship applies to all of the number, for example 3 x 3 = 9 and so on.
OK. So first, slope = rise/run. This can be calculated with any 2 points from the graph above.
I will use points (24, 168) and (8, 56).
Slope = (168 - 56) / (24 - 8)
Slope = 7
Since the y-intercept is 0, the equation is y = 7x
B should be the correct answer.
Cheers,
Brian
Suppose you have some repeating decimal like
x = 0.123123123...
The repeating part has a length of 3, and multiplying both sides by 10^3 = 1000 gives
1000x = 123.123123123...
The usefulness of this is that we can subtract x from this to eliminate the decimal part:
1000x - x = 123.123... - 0.123...
999x = 123
then solve for x as a fraction:
x = 123/999
and in this case the fraction reduces further to
x = 41/333
