the circular blade on a saw has a diameter of 7.5 inches and rotates at 2400 revolutions per minute.
A) find the angular speed in radians per sec
B) Find the linear speed of the saw teeth ( in feet per sec) as the contact the wood being cut.

Formulas--> Linear speed= arc length/time= s/t
Angular speed= central angle/time ...?

Answers

Answer 1
For a:
    
       (2400*2*PI)/60(seconds) = 80 PI RAD/Sec

For b: 
   
        arc length s= radius r * central angle(in radians) 

                          = ((80*pi*7.5)/(2*pi)
                          =25


                          



Answer 2
The angular speed of the saw is 80π radians per second and the linear speed of the saw teeth is 25π feet per second.Explanation:To solve these tasks, we need to convert the rotation speed to radians per second for part A, and we use the formula for the circumference of a circle to find the linear speed for part B.A) Angular speed is normally measured in radians per second. To convert the revolutions per minute to radians per second, we need to know that one full revolution equals 2π radians. After this, convert the minutes to seconds. Hence:2400 revolutions per minute * 2π radians per revolution = 4800π radians per minuteTo convert to seconds: 4800π radians per minute / 60 seconds = 80π radians per secondB) The linear speed of the saw teeth as they contact the wood being cut can be determined by calculating the circumference of the saw's circular blade (which will be the distance travelled in one revolution), and then multiplying that by the rotational speed. The formula for the circumference of a circle is 2πr. Here the diameter is given, so the radius would be half the diameter, that is 7.5/2= 3.75 inches.Circumference = 2*π*3.75 inches = 7.5π inchesLinear speed = 7.5π inches per revolution * 2400 revolutions per minute = 18000π inches per minuteTo convert to feet per sec, we know 1 foot = 12 inches and 1 minute = 60 seconds, thus: 18000π inches per minute / 12 inches per foot / 60 seconds per minute = 25π feet per second

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Related Questions

5/8 as a decimal and a percent

Answers

the answer to the equation is 5.8 and 58%

Will give brainlyiest answer if explained.

In the figure below, lines g and h are parallel and are cut by transversal j to form the angles shown. If the measure of <8 is 82, what is the measure of <1?
A. 180.
B. 98.
C. 82.
D. 8.

Answers

C. The three angles on the bottom are all exactly the same.

Lucia bought a table and some chairs at a furniture store. The equation that models this situation is y = 40x + 55, where y is the amount of money she spent and x is the number of chairs she bought. What does the y-intercept mean in this situation?

A. She paid $40 for each chair.

B. She paid $55 for the table.

C. She paid $40 for the table.

D. She paid $55 for each chair.

Answers

Answer: C. She paid $40 for each chair.

Step-by-step explanation:

If theres 3 apples and you take 2 away, how many do you have?

Answers

The answer depends on the perspective; however, this question is often meant to be a "trick question"; with the answer being: 2 (two) apples!
_______________________________________________
The rationale behind this answer is that if there are three apples, but you "take 2 away" you now have "2" apples, because YOU are the one who "took away the 2 apples"—so presumably, YOU have the "2 apples" that YOU "took away"!

In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours (h < 7) or after working more than 9 hours (h >9). How can these inequalities be written as one statement?

a. 7 < h < 9
b. 7 > h > 9
c. h < 7 or h > 9
d. h > 7 or h < 9

Answers

A is not correct because h has to be less than 7 hours. it also has to be greater than 9 hours so this condition isnt fulfilled.

B is not correct. h cannot be both larger than 9 and less than 7. I would say that answer isnt correct

C conditions are correct and written exactly as they should be. sepparated. unlike ones in B

D is oposite from C so it is not correct.


Expand 3(-5q + 4).

A.5q + 12

B.-15q + 4

C.-15q + 12

D. 5q + 12

Answers

_Award brainliest if helped! 
(-5q * 3)  + (4 *3 ) = -15q + 12 
The answer is C. 
The answer would be C) -15q + 12.

Distribute ( 3 * -5q + 3 * 4 )

reduce 3 * -5q to -15q ( -15q + 3 * 4 )

simplify 3 * 4 to 12 ( -15q + 12 ).

A recipe calls for 6 quarts of water. Michael put 1 gallon of water in the bowl and realized that he made a mistake. Michael should ___.

-Remove 2 cups.
-Add 1 gallon.
-Add 2 quarts.
-Add 2 pints.

Answers

Final answer:

-Add 2 quarts. Michael incorrectly used gallons instead of quarts for his recipe. Since 1 gallon equals 4 quarts, he simply needs to add 2 more quarts to the existing gallon to meet the recipe's requirement of 6 quarts.

Explanation:

The question involves unit conversion between gallons and quarts. Since the recipe calls for 6 quarts of water and Michael has already put 1 gallon (which is 4 quarts) into the bowl, he needs to add more water to reach the required amount.

A gallon is equivalent to 4 quarts, so Michael should add 2 quarts more to the 4 quarts he already has, totaling the 6 quarts needed for the recipe.

What is the solution of the system?

Use the substitution method.

{y+7=3x
{6x−2y=12

A) (14, 12)
B) (12, 14)
C)There is no solution.
D)There are an infinite number of solutions.

Answers

y + 7 = 3x.....y = 3x - 7
so we sub in 3x - 7 for y in the other equation

6x - 2y = 12
6x - 2(3x - 7) = 12
6x - 6x + 14 = 12
6x - 6x = 12 - 14
0 = -2 (incorrect)....no solution

Little tip :
if ur answer comes out with unequal amounts such as : 1 = 4, or 2 = 3, or 0 = -2...then there will be no solutions.
if ur answer comes out with equal amounts such as : 2 = 2, 3 = 3,0 = 0....then there will be infinite solutions.
if ur answer comes out with a variable equaling something...y = 4, x = 2, then there is 1 solution

What is the y-intercept of y=1.5x?

Answers

The y-intercept occurs when x=0.
In your equation y=1.5x, when x=0, y=0. So the y-intercept is (0,0), which is the origin.

One number is six times another number. their difference is 35. what are the two numbers? 5 and 30 8 and 48 7 and 42 6 and 41

Answers

a = 6b
a - b = 35

6b - b = 35
5b = 35
b = 35/5
b = 7

a = 6b
a = 6(7)
a = 42

ur numbers are 7 and 42

Answer: The answer is (c) 7 and 42.

Step-by-step explanation: We are given that one number is six times another number and their difference is 35. We are to find the two numbers.

Let 'x' and 'y' be the two numbers. Then, we have

[tex]y=6x,\\\\y-x=35.[/tex]

Substituting the value of 'y' from first equation in the second, we have

[tex]6x-x=35\\\\\Rightarrow 5x=35\\\\\Rightarrow x=7,[/tex]

and

[tex]y=6\times 7=42.[/tex]

Therefore, the numbers are 7 and 42.

Thus, the answer is (c) 7 and 42.

whats 9+10? PLZ HELP !!!!

Answers

the answer is 21

just kidding i know that you know

So if we add 9 slices to pizza, and 10 more...We get...0 because I ate them all

19

Michael breeds chickens and ducks. last month, he sold 50 chickens and 30 ducks for $550. this month, he sold 44 chickens and 36 ducks for $532. how much does a chicken cost, and how much does a duck cost?

Answers

n the following step there is a multiplication error: 
50c + 1330/3 - 110/3c = 550 
150c + 1330 - 330c = 1650 
110/3 was multiplied by 3 twice instead of once. It should just be 110 

Continuing onward... 
150c + 1330 - 110c = 1650 
40c = 320 
c = 8

Given the two points (2,4) and (-3,2), what is the slope of the line that goes through both of these points?

Answers

With the formula: m=(y1-y2)/(x1-x2) you can sub in the values to get the slope (m).

m=(4-2)/(2-(-3))
   = 2/5

Therefore the slope is 2/5.
for points (x1,y1) and (x2,y2)
the slope of the line going through those points is
(y2-y1)/(x2-x1)
given
(2,4) and (-3,2)
x1=2
y1=4
x2=-3
y2=2

slope=(2-4)/(-3-2)=-2/-5=2/5

25 m equals how many feet

Answers

82 feet 0.252 inch is 25m
25 m equals = 82.021 feet

Will upvote!

Graph −7y+8=21x−6

Two points that the line would go through is all I need.

Thanks!!

Answers

(-2,8),(-1,5),(0,2),(1,-1),(2,-4) are points of the line.
−7y-21x=−6-8
−7y-21x =−14

1. Choose the correct solution in roster form.
S is the set of prime numbers that are less than 15.
A.{2,3,5,7,11,13}
B.{2,3,5,7,9,11,13}
C.{1,3,5,7,9,11,13}
D.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

Answers

Answer:

A. {2,3,5,7,11,13}

Step-by-step explanation:

Since, prime numbers are the whole numbers which have only two multiple which are 1 and itself.

Thus, the prime numbers are,

2, 3, 5, 7, 11, 13, 17, 19, 23, ..................

Note : 1 is not a prime number because it has only one multiple i.e. 1.

or it does not satisfy the definition of prime number.

Thus, the prime numbers that are less than 15,

2, 3, 5, 7, 11, 13

Which are the elements of the set S,

Hence, S = { 2, 3, 5, 7, 11, 13 }

OPTION A is correct.

what is 4/12 simplest form

Answers

4/12=2/6=1/3. /1/3 is simplest form

If the ends of the base of an isosceles triangle are at (2,0) & (0,1) & the eqn of one side is
x=2,
then the orthocentre of the triangle is

a) (3/2, 3/2)
b) (5/4, 1)
c) (3/4, 1)
d) (4/3, 7/12)
...?

Answers

if O is the orthocenter, O=(xo, yo)
such that xo=(2+0 + 2)/3, so xo= 4/3, so the answer must be

d) (4/3, 7/12)

Answer:

The orthocenter of the triangle is [tex](\frac{5}{4},1)[/tex] and option b is correct.

Step-by-step explanation:

The ends of the base of an isosceles triangle are at (2,0) & (0,1).

Orthocentre of the triangle is the intersection point of all three altitudes from its vertices.

First find any two altitudes, then find intersection point of altitudes.

The equation of a side is x=2, which is an vertical line. The opposite vertices of this side is (0,1), so the perpendicular line is a horizontal line. The equation of first altitude is

[tex]y=1[/tex]                              .... (1)

In an isosceles triangle, then attitude is the median of non-equal side. It means the altitude is passing through the midpoint of base side.

[tex]Midpoint=(\frac{2+0}{2},\frac{0+1}{2})=(1,0.5)[/tex]

Slope of base side is

[tex]m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{1-0}{0-2}=-0.5[/tex]

The product of slopes of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]-0.5\times m_2=-1[/tex]

[tex]m_2=2[/tex]

The point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is slope.

The slope of second altitude is 2 and it passing through the pint (1,0.5), therefore the equation of second altitude is

[tex]y-0.5=2(x-1)[/tex]

[tex]y=2x-1.5[/tex]                ..... (2)

From equation (1) and (2), we get

[tex]x=\frac{5}{4}[/tex]

[tex]y=1[/tex]

Therefore the orthocenter of the triangle is [tex](\frac{5}{4},1)[/tex] and option b is correct.

Which represents the empirical formula for A3B9?
AB3
AB2
A3B9
A9B27

Answers

Empirical formula is the simplest ration between atoms present in a molecule. This means that, since 9 can be divided by 3 (A3B9), the correct answer is the first option AB3. 

Answer:

[tex]AB_{3}[/tex]

Step-by-step explanation:

Given : [tex]A_{3}B_{9}[/tex]

To Find : Which represents the empirical formula for[tex]A_{3}B_{9}[/tex]?

Solution:

Definition of Empirical Formula - A formula that gives the simplest whole-number ratio of atoms in a compound.

[tex]A_{3}B_{9}[/tex]

To reduce it in simplest form

Divide the subscript numbers by 3

So, the resultant : [tex]AB_{3}[/tex]

Thus the empirical formula for [tex]A_{3}B_{9}[/tex] :

[tex]AB_{3}[/tex]


Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are
(–9, 2), what are the coordinates of F'?

(–17, 5)
(–6, –6)
(–17, –1)
(–12, –6)

Answers

Answer:
(-6,-6)

Explanation:
The xy coordinate grid is shown in the attached image.
As we can see:
1- moving down the the y-axis means that we are moving towards the negative direction. This means that we will subtract the translated units from the original y-value to get the y-value of the image
We are given that the point was translated 8 units down and that the original y-coordinate was 2.
This means that:
y-coordinate of image = y-coordinate of original point - translated units
y-coordinate of image = 2 - 8
y-coordinate of image = -6

2- moving to the right of the x-axis means that we are moving towards the positive direction.This means that we will add the translated units to the original x-value to get the x-value of the image.
We are given that the point was translated 3 units to the right and that the original x-coordinate was -9.
This means that:
x-coordinate of image = x-coordinate of original point + translated units
x-coordinate of image = -9 + 3
x-coordinate of image = -6

Based on the above, the coordinates of the image are (-6,-6)

Hope this helps :)


A boardwalk that is x feet wide is built around a rectangular pond. The combined area of the pond and the boardwalk is 4x^2+140x+1200 square feet. What are the dimensions of the pool?
a. 100 ft by 60 ft c. 55 ft by 70 ft
b. 30 ft by 40 ft d. 15 ft by 80 ft
...?

Answers

The correct answer is B 30 by 40 feet

What is the inverse of the conditional statement " If a number is divisible by 6, then it is divisible by 3"?

A) If a number is divisible by 3, then it is divisible by 6.
B)If a number is not divisible by 6, then it is not divisible by 3.
C)If a number is not divisible by 3, then it is not divisible by 6.
D)If a number is not divisible by 6, then it is divisible by 3.



...?

Answers

The best and most correct answer among the choices provided by your question is the first choice or letter A.

"If a number is divisible by 3, then it is divisible by 6." is  the inverse of the conditional statement " If a number is divisible by 6, then it is divisible by 3".

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Answer: I think its A.

A triangle inscribed in a semicircle can be identified as a/an _______ triangle.

Answers

Final answer:

A triangle inscribed in a semicircle can be identified as a right triangle.

Explanation:

A triangle inscribed in a semicircle can be identified as a right triangle.

To see why, consider that when a triangle is inscribed in a semicircle, one of its sides will coincide with the diameter of the circle. Since the diameter of a circle is always a straight line, it forms a right angle (90 degrees) with the semicircle's arc. Therefore, the triangle that is inscribed in the semicircle has a right angle as one of its angles, making it a right triangle.

In circle A shown below, m arc BC is 61° and m Arc EF is 76°.



What is m∡FDE?
Answer
76°
38°
30.5°
68.5°

Answers

Answer:

68.5°

Step-by-step explanation:

Here is the solution:

m<FDE = 1/2( Arc BC + Arc 76)
m<FDE = 1/2 (61° + 76°)
m<FDE = 137/2 = 68.5°

So the answer is 68.5°

You are playing a game of Scrabble and have the 5 A tiles, 3 E tiles, 1 Z tile, 2 M tiles, 3 L tiles, and 1 Y tile to choose from. What is the probability that you choose E or Y on your next draw

Answers

The probability is 4 out of 15.

Answer:

4/15

Step-by-step explanation:

To find the probability we use the mutually exclusive probability formula P(A) + P(B). The probability of picking a E tile is

1

5

and the probability of picking a Y tile is

1

15

. The sum is

4

15

.

What is the length of one side of a square if its area is 100 square centimeters?
a. 100 cm
b. 40 cm
c. 25 cm
d. 10 cm user: the cost of one textbook is $14.90. which expression below can be used to compute the cost of 8 textbooks?
a. 8($15.00 $0.90)
b. 8($15.00 $0.10)
c. 8($15.00 – $0.90)
d. 8($15.00 – $0.10)

Answers

d)10cm
10×10=100
--------------
8($14.90)=8($15.00-$0.10)
d)

Answer:

The anser is D. I just had this question

Divide. Express your answer in lowest terms


=15/16 + (-3/4)



please tell me how you got your answer after

Answers

I hope this helps you

When working with the square root of a number, when would you have only a positive answer and when would you have both a positive and negative answer?

Answers

Lets make it clear: You would have a positive answer when the value you are looking for has to be a positive number. On the other hand you would have a positive and a negative answer when you take the square root of something that doesn't have to be positive. it could be either because when a negative number is squared it becomes positive and when a positive number is squared it stays positive as well.

write y=2x+3 using function notation

Answers

f(x)=2x+3. easy as that, just replace y with f(x)

Answer:

[tex]f(x) = 2x+3[/tex]

Step-by-step explanation:

The function f(x) is the another way of representing the y-values in the function

i.e

[tex]y=f(x)[/tex]

Then y-axis be labeled with f(x)  

Also; the ordered pair is written as: (x, f(x)) instead of (x, y)

Given the equation:

[tex]y = 2x+3[/tex]

replace y = f(x)

then;

[tex]f(x) = 2x+3[/tex]

therefore, the equation  y=2x+3 using function notation is, [tex]f(x) = 2x+3[/tex]

slope-intercept form .... slope=.25, x-intercept=24 ...?

Answers

Answer:

Step-by-step explanation:

Given  : slope=.25, x-intercept=24 ...?

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