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
Naya [18.7K]
3 years ago
12

Please help!!!!!!! How many inches would a point on the outer edge of the large gear travel in a 150º rotation? (The gear has a

radius of 4 inches) Please explain how you would solve this.
Mathematics
1 answer:
damaskus [11]3 years ago
4 0
In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference.  The circumference of a circle is:

C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:

d/C=150/360

d=5C/12 and since C=2πr

d=10πr/12

d=5πr/12, and since r=4in

d=5*4π/12 in

d=20π/12 in

d=5π/3 in

d≈5.24 in (to nearest hundredth of an inch)
You might be interested in
This is going to be tricky pls solve from i ready
shutvik [7]

Answer:

4/10 meters

Step-by-step explanation:

Original Length : 7/10 meters

Remaining Length after cut : 3/10 meters

amount cut off = original length - remaining length

= 7/10 - 3/10

= (7-3)/ 10

= 4/10

3 0
3 years ago
Read 2 more answers
Determine if y = 2x + 1 is a function
horsena [70]

Yes! There is one output and one input, which is the definition of a function. You can also graph the function and test for the vertical line test. Graph a few points, connects the dots. Draw a vertical line through the graph and if the vertical line passes through the graph more than once, it is not a graph.

8 0
4 years ago
An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con
natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

L = 3w --- (1)volume = l \times w \times h \\ \\ 88 =  (3w)   \times w  \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\

The construction cost now is:

C = 4(l \times w) + 2 ( w  \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w  \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}

Now, to determine the minimum cost:

\dfrac{dC}{dw}= 0  \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}

w = \dfrac{88}{3(3)}^{1/3} \ feet

Now;

length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet

height = ( 88})^{1/3} (3)^{1/3} \ feet

6 0
3 years ago
sarah lost her science book her school charges a lost book fee equal to 75% of the cost of the book sarah recieved a notice she
laila [671]

Answer: $80

Step-by-step explanation:

You have been told that Sarah ended up paying $60, and you were told before that the charge for a lost book was 75%.

Therefore

$60 = 75%

Now we have to find out what amount of money would be equivalent to 100%:

To do this, find out what amount of money would be equivalent to 25% first.

You can do this by dividing both values by 3.

60 / 3 = 20

75 / 3 = 25

So now $20 = 25%

Now find 100% (which is the original amount) multiply each value by 4 :

$80 = 100%

So the school payed $80 for the book.

hope this helps :)

4 0
3 years ago
Find the 7th term of the geometric sequence with the given terms.
Anarel [89]
The common ratio is the fifth term divided by the fourth term: -40/-8 = 5.
The seventh term is :
a_{7}=a_{5}\times5\times5=-40\times5\times5=-1000
8 0
3 years ago
Other questions:
  • Lindsay deposited $2000 into a Roth IRA that grew to $5000 by retirement. If Lindsay is currently in the 10% tax bracket and ret
    15·2 answers
  • The circumference of a circle is 25.12cm. What is the area of the circle? Use 3.14
    6·1 answer
  • Tyree is determining the distance of a segment whose endpoints are A(–4, –2) and B(–7, –7).
    5·1 answer
  • PLEASE HELP AS SOON AS YOU CAN :)))))<br><br><br> Graph f(x)=4[x]+5
    15·1 answer
  • Three less than a number x is 25.
    11·2 answers
  • Please refer to the image.
    6·2 answers
  • A coordinate plane with a vertical line passing through (negative 3, negative 3), (negative 3, 0) and (negative 3, 3).
    10·2 answers
  • Please select the word from the list that best fits the definition warned that going to a temple was not enough; all must work f
    8·1 answer
  • How do steryotypes affect you??
    13·1 answer
  • Brian has saved $15 a week for x weeks he spends $50.00. Write an expression that shows how much money he has left
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!