the areas of the two watch faces have a ratio of 16:25. what is the ratio of the radius of the smaller watch face to the radius of the larger watch face?

Answers

Answer 1

Answer:

The ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

What is the area of the circle?

The area of the circle is given by the formula,

$\text{Area of the Circle} = \pi r^2$

As we know that the ratio of the area of the two watches is 16:25. And we also know that the area of a circle is given by the formula,

$\text{Area of the Circle} = \pi r^2$

Now, as we know that the ratio of the area of the watches can be written as,

$\frac{\text{Area of the small watch face}}{\text{Area of the Large watch face}} = (16)/(25)\n\n(\pi r^2)/(\pi R^2) =(16)/(25)\n\n(r^2)/(R^2) = (16)/(25)\n\n(r)/(R) = \sqrt{(16)/(25)}\n(r)/(R) = (4)/(5)$

Hence, the ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.

Learn more about Circle:

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Answer 2

Answer:

Answer:

4:5

Step-by-step explanation:

Let r be the radius of small watch

Area of small watch=π $r^(2)$

Let R be radius of larger watch= π $R^(2)$

Area of larger watch= π $R^(2)$

It is given that the ratio of their areas= 16:25

$( Area of smaller circe)/(Area of larger circle)$ = $(16)/(25)$

π $r^(2)$ : π $R^(2)$ = 16:25

$(r)/(R)$ = $(√(16) )/(√(25) )$

r:R= 4:5

Hence, the ratio of their radii= 4:5

Hence, the correct answer is 4:5

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Help! I need the answer as fast as possible.

Divide 5 by 4. Is your answer a rational number? explain

Answers

Yes because a rational number is a number that can be written as a fraction. 5 divided by 4= 1.25, which is equal to 1 and one fourth. So yes, it is a rational number

Forty tickets were sold for a lottery. two tickets were bought, what are the chances of winning

Answers

This answer is from what I am understanding and sorry for no explanation.

2/40 simplified = 1/20

Based on the type of equations in the system, what is the greatest possible number of solutions (x2+y2=9/9x+2y=16? A=1
B= 2
C= 3
D= 4

Answers

Answer:

`Option B.

Step-by-step explanation:

The given system of equations is

$x^2+y^2=9$

$9x+2y=16$

The graph of first equation is circle and the graph of second equation is a line.

We know that a line can intersect a circle at most 2 times. So, the greatest possible number of solutions is 2.

First equation can be rewritten as

$x^2+y^2=3^2$

It is the standard form of a circle $(x-h)^2+(y-k)^2=r^2$ , where (h,k) is center and r is radius.

In the above equation h=0,k=0 and r=3. It is a circle with radius 3 and centered at origin.

The second equation is

$9x+2y=16$

It is a linear equation.

Table of values.

x y

0 8

1 3.5

2 -1

Plot these points on a coordinate plane and connect them by a straight line.

From the below graph it is clear that the line and circle intersect each other at two points. So, the given system of equation have two solutions.

Therefore, the correct option is B.

Answer:

Step-by-step explanation:

Suppose that, in 2006, Poland produced 4.02 million bikes. The total world production that year totaled 142 million bikes. What percent of the world's total production of bikes is contributed by Poland? Round your answer to the nearest tenth of a percent.

Answers

The percent of the world's total production of bikes that is contributed by Poland is 2.83%.

Number of bikes produced by Poland = 4.02 million bikes.

Number of bikes produced by the world population = 142 million bikes.

The percent of the world's total production of bikes that is contributed by Poland will be:

= (4.02/142) × 100

= 2.83%

Therefore, the percent of the world's total production of bikes that is contributed by Poland is 2.83%.

Read related link on:

brainly.com/question/11317868

Answer:

It would be 2.83% since that is rounded to the nearest 10th

Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation? Enter your answer in the box.

Answers

Each of the prime coordinates is 3 times the unprimed coordinates.

The scale factor is 3.

6/9=c/6 what does c equal?

Answers

$\frac { 6 }{ 9 } =\frac { c }{ 6 } \n \n \frac { 2 }{ 3 } =\frac { c }{ 6 } \n \n 6\cdot \frac { 2 }{ 3 } =\frac { c }{ 6 } \cdot 6$

$\n \n c=\frac { 12 }{ 3 } \n \n \therefore \quad c=4$

C=4 because 4/6 is equivalent to 6/9 and they would reduce down to 2/3

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