1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
allsm [11]
3 years ago
9

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

f the larger watch face?
Mathematics
1 answer:
Leona [35]3 years ago
7 0

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.

You might be interested in
What is the ratio of cosine of C?<br><br> A 24/7<br><br> B 24/25<br><br> C 7/25<br><br> D 25/24
Alecsey [184]

Answer:

Cos C = adjecent/hypotenuse

Cos C = 14/50

divide the numerator and the denominator by 2

Cos C = 7/25

The answer is C

8 0
2 years ago
What's the slope of the graph
kotykmax [81]

Answer:

1/-2

Step-by-step explanation:

To find the slope:

rise/run

From point to point

So....

From (-1,0)

you go up 2(2)

then left 4(-4)

to get to (-5,2)

so 2/-4 reduced is 1/-2

6 0
3 years ago
What is the factored form of x2 - 10x + 24
umka2103 [35]

Answer:

(x-6) (x-4)

Step-by-step explanation:

x^2 - 10x + 24

What 2 numbers multiply to 24 and add to -10

-6*-4 = 24

-6+-4 = -10

(x-6) (x-4)

4 0
3 years ago
How do you simplify 7 (2x+10) thanks in advance
kramer
The only thing you should do is to multiply 7 by 2x and 10. 
so you will have: (7*2x) + (7*10) = 14x + 70 :)))
i hope this is helpful 
have a nice day 
5 0
3 years ago
Which of the following best defines an output
cricket20 [7]
The answer is B it best explains the definition of output
7 0
3 years ago
Other questions:
  • Angela opened a new bakery she got orders fir 2 cakes the first week 4 cakes the second week and 8 cakes the third week if the p
    14·1 answer
  • Pls answer b, confused
    11·1 answer
  • Three to the sixth power divided by three to the third power
    5·1 answer
  • Can someone help please
    12·1 answer
  • Circle P has a circumference of approximately 75 inches.
    6·1 answer
  • Work out the size of the interior angle of a regular 16-sided polygon
    15·2 answers
  • What number must be added to the expression below to complete the<br> square?<br> х2 - 20х
    7·1 answer
  • Stack of wood 4 feet wide 8 feet long and 4 feet high is equal to 1 quart of wood. How many quarts would a pie 4 feet wide and 1
    15·1 answer
  • Shelter A has a capacity of 300 beds and is 70% occupied. Shelter B is 35% occupied. The ratio of the occupancy of shelter A to
    8·1 answer
  • Please solve quickly for 50 points
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!