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3 years ago

The ratio of the diameters of two circles is y:z. What is the scale factor of the circles?

Mathematics

2 answers:

Ne4ueva [31]3 years ago

8 0

Answer:

The scale factor is $\frac{y}{z}$

Step-by-step explanation:

We are Given with Ratio of diameter of 2 circles which is y : z

We have to find Scale Factor of the circles

Scale factor of circles is the ratio of their radii.

let, Radius of 1st circle = $\frac{yx}{2}$

let, Radius of 2nd circle = $\frac{zx}{2}$

So, The scale factor = $\frac{Radius\: of\: 1st\: circle}{Radius\: of\: 2nd\: circle}$

= $\frac{\frac{yx}{2}}{\frac{zx}{2}}$

= $\frac{yx}{2}\times\frac{2}{zx}$

= $\frac{y}{z}$

Therefore, The scale factor is $\frac{y}{z}$

Rudiy273 years ago

7 0

The scale factor is the ratio of the areas of the 2 circles.

areas = pi (y/2)^2 and pi (z/2)^2

so required ratio = y^2 : z^2

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HACTEHA [7]

Answer: y = $-\frac{1}{6}x-5$

Step-by-step explanation:

x+6y=12

6y=-x+12

y=- $\frac{x}{6}$ + 2

If its parallel it means that the slope will be the same

y = mx + b

-4 = -1/6 * (-6) + b

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Thus,

y = -1/6 x - 5

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3 years ago

Solve using a proportion.

Advocard [28]

Answer:

t = 24 yards

Step-by-step explanation:

Since the trapezoids are similar then the ratios of corresponding sides are equal, that is

$\frac{t}{c}$ = $\frac{u}{d}$

Substitute in given values

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5 0

3 years ago

PLEASE HELP ME!

kotegsom [21]

Answer:

Bottom left graph

Step-by-step explanation:

We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:

−2x + y ≤ 4 >> Original Standard Equation

+ 2x + 2x

_________

y ≤ 2x + 4 >> Slope-Intercept Equation

−2[0] + 0 ≤ 4

0 ≤ 4 ☑ [We shade the part of the graph that CONTAINS THE ORIGIN, which is the right side.]

$\displaystyle y > x + 2 \\ \\ 0 ≯ 2$ [We shade the part of the graph that does not contain the origin, which is the left side.]

So, now that we got that all cleared up, we can tell that the graphs share a region in between each other and that they both have POSITIVE RATE OF CHANGES [SLOPES], therefore the bottom left graph matches what we want.

** By the way, you meant $\displaystyle y > x + 2$ because this inequality in each graph is a dashed line. It is ALWAYS significant that you be very cautious about which inequalities to choose when graphing. Inequalities can really trip some people up, so once again, please be very careful.