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
Please help
vagabundo [1.1K]
I would say no to that.
4 0
3 years ago
A girl walked 3000 feet. What is the distance in meters?
Sophie [7]
3000ft will equal 914.4 in meters
7 0
3 years ago
. A hawk flying at a height of 60 feet spots a rabbit on the ground. If the hawk dives at a speed of 55 feet per second, how
Vladimir [108]

Answer:

The hawk reaches the rabbit at t=4.3 sec

Step-by-step explanation:

Let

h ----> is the height in feet

t ----> is the time in seconds

v ---> the initial velocity in feet pr second

s ----- is the starting height

we have

h=-16t^{2} +vt+s

when the hawk reaches the rabbit the value of h is equal to zero

we have

v=55\ ft/sec

s=60\ ft

substitute

0=-16t^{2} +55t+60

Solve the quadratic equation by graphing

The solution is t=4.3 sec

see the attached figure

8 0
3 years ago
Hello i really need help on this its just 3 short question pls dont answer if you dont know it
Veseljchak [2.6K]

Answer:

1.  m = 60

2. k = 55

3. v  =  182

8 0
2 years ago
Read 2 more answers
Please help me find the volume
SSSSS [86.1K]

Answer:

C,. 3 3/4

Step-by-step explanation:

length times with times hight

1 1/4 x 1 1/2 x 2

convert everything to same denominator

1 1/4

1 2/4

1 4/4

solve

1 1/4 x 1 2/4 x 1 4/4

4 0
3 years ago
Other questions:
  • The teacher gives the equation 4x__=12. Charlie finds the answer by writing and solving 12÷__=3. Explain why Charlie's method wo
    8·2 answers
  • Help Help!!I attached a photo. What do I put the place where I put a question mark.
    5·1 answer
  • thomas has 6.35 in dimes and quarters the number of dimes is three more than three times the number of quarters how many quarts
    7·1 answer
  • Can somebody please help me with this question?
    12·2 answers
  • A panda and a giraffe start moving towards each other when they are 300 feet apart. The panda is running at a speed of P feet pe
    13·1 answer
  • The calculate the mean,____ all the numbers in the data set and then ____
    14·2 answers
  • X + 2y = 10<br><br> y=x-4<br> Choices are:<br> (0,4)<br> (2,6)<br> (6,2)<br> (8,0) <br> Work shown
    9·2 answers
  • 24. The____
    6·2 answers
  • a phone signals from a transmitter that is 19km west and 36km south of it. what is the bearing from the phone to the transmitter
    12·1 answer
  • At the beach, Nardia collected triple the number of seashells that Pierre did. Together, they collected 52 seashells. Which equa
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!