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Kaylis [27]
3 years ago
15

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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The approximate age of a woman whose normal systolic pressure measures 125 mm Hg is 31

The function is given as:

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When the normal systolic pressure is 125, it means that:

P(A) = 125

So, we have:

125 = 0.006A^2 - 0.02A + 120

Subtract 125 from both sides of the equation

0= 0.006A^2 - 0.02A + 120 -125

0= 0.006A^2 - 0.02A - 5

Rewrite the equation as:

0.006A^2 - 0.02A - 5 = 0

Using a graphing calculator, we have:

A = \{30.58, -27.25\}

But age cannot be negative.

So, we have:

A = 30.58

Approximate

A =31

Hence, the age of the woman is 31

Read more about quadratic functions at:

brainly.com/question/11441586

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Which is the simplified form of the expression?
Scorpion4ik [409]

Answer:

1 / q^30.

Step-by-step explanation:

[(p^2)(q^5)]^-4 * [(p^-4)(q^5)]^-2

Using the law (a^b)^c =  a^bc :-

=  p^-8 * q^-20 * p^8 * q^-10

= p^(-8+8) * q^(-20-10)

= p^0 * q^-30

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The sum of a number and three is doubled and then added to the product of six and the original number to give forty six
Zina [86]

Answer:

The number is 5

Step-by-step explanation:

Let x represent the number

Now let's break it down!

Sum of a number and 3 gives;

x + 3

This is then doubled to give;

2* (x + 3)

This is added to the product of 6 and the original number to give 46

Product of 6 and the original number = 6 * x

Now 2* (x + 3) is added to 6 * x to give 46

2* (x + 3) + 6*x = 46

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8x + 6 - 6 = 46 - 6

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Hence, the number is 5

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