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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 o

Leona [35]

Answer:

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

Step-by-step explanation:

Let the Area of smaller watch face be $A_1$

Also Let the Area of Larger watch face be $A_2$

Also Let the radius of smaller watch face be $r_1$

Also Let the radius of Larger watch face be $r_2$

Now given:

$\frac{A_1}{A_2} =\frac{16}{25}$

We need to find the ratio of the radius of the smaller watch face to the radius of the larger watch face.

Solution:

Since the watch face is in circular form.

Then we can say that;

Area of the circle is equal 'π' times square of the radius 'r'.

framing in equation form we get;

$A_1 = \pi {r_1}^2$

$A_2 = \pi {r_2}^2$

So we get;

$\frac{A_1}{A_2}= \frac{\pi {r_1}^2}{\pi {r_2}^2}$

Substituting the value we get;

$\frac{16}{25}= \frac{\pi {r_1}^2}{\pi {r_2}^2}$

Now 'π' from numerator and denominator gets cancelled.

$\frac{16}{25}= \frac{{r_1}^2}{{r_2}^2}$

Now Taking square roots on both side we get;

$\sqrt{\frac{16}{25}}= \sqrt{\frac{{r_1}^2}{{r_2}^2}}\\\\\frac{4}{5}= \frac{r_1}{r_2}$

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

7 0

3 years ago

Can 8 go into 3? plz answer

Sergio [31]

Answer:no

Step-by-step explanation:it would not be possible as 8 is a larger number then 3 unless u would be multiplying by decimals which in which case might be possible

8 0

2 years ago

A bird flies 2/3 of a mile per minute. How many miles per hour is it flying?

WINSTONCH [101]

Answer:

A. 40 mph

Step-by-step explanation:

A bird flies 2/3 miles per minute. You are trying to solve miles per hour.

Note that there are 60 minutes in an hour. Multiply 2/3 with 60:

2/3 x 60 = (2 * 60)/3 = (120)/3 = 40

A. 40 mph is your answer.

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3 0

3 years ago

The degree measure of an acute angle in a right triangle is x. If sinx=2/3, determine if each of the following expressions is al

leonid [27]

<h2> ☞ANSWER☜ </h2>

The right triangle has one 90 degree angle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees... The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.

An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90˚ is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60˚, making it an acute triangle.

8 0

2 years ago

Find the area of the composite figure.

AysviL [449]

Answer:

The area will be 834.38

Step-by-step explanation:

hope it helps..

5 0

3 years ago