What is the symbol for scale factor?

1 answer:

3 0

A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.

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What is the area of square meters if the area of a carpet is 45ft?

Kryger [21]

45ft squared would be the answer i think because the carpet could be smaller or bigger than the area of the room or it wouldn't fit.

8 0

3 years ago

A circle with center C(4, -2) passes through the point A(1, 3). Does the point B(8, -2) lie inside the circle?

Setler79 [48]

Answer:

Yes, point B will lie inside the circle.

Step-by-step explanation:

Let the distance between point C and point A be the radius of our given circle.

We have been given that a circle with center C(4, -2) passes through the point A(1, 3).

Since we know that a point will lie inside circle if the distance between the point and center of circle is less than radius of circle.

Let us find distance between points C and A using distance formula.

$\text{Radius}=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

$\text{Radius}=\sqrt{(4-1)^{2}+(-2-3)^{2}}$

$\text{Radius}=\sqrt{(3)^{2}+(-5)^{2}}$

$\text{Radius}=\sqrt{9+25}$

$\text{Radius}=\sqrt{34}$

Radius of our circle is $\sqrt{34}$ . Now let us find distance between center of our circle and point B.

$\text{Distance between C and B}=\sqrt{(4-8)^{2}+(-2--2)^{2}}$

$\text{Distance between C and B}=\sqrt{(-4)^{2}+(-2+2)^{2}}$

$\text{Distance between C and B}=\sqrt{16+(0)^{2}}$

$\text{Distance between C and B}=\sqrt{16}$

$\text{Distance between C and B}=4$

We can see that distance of point B from center of our given circle is less than distance between point A and center of circle, therefore point B will lie inside the circle.

4 0

3 years ago

Read 2 more answers

In a random population, out of 500 people, 160 had blue eyes. In a group of 2500 people, how many would have blue eyes?

Artist 52 [7]

<h3>Answer: 800</h3>

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Work Shown:

(160 with blue eyes)/(500 total) = (x with blue eyes)/(2500 total)

160/500 = x/2500

x = 2500*(160/500)

x = 800