Find the arc length for arcs of circles as follows:
radius: 12 inches
central angle: radians
- - -

Find The Arc Length For Arcs Of Circles As Follows:radius: 12 Inchescentral Angle: Radians- - -

Answers

Answer 1

Answer:

≈ 11.78 in

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{\frac{\pi }{4} }{2\pi }[/tex] ( cancel 2π on numerator/ denominator )

     = 15 × [tex]\frac{\pi }{4}[/tex]

     = [tex]\frac{15\pi }{4}[/tex]

     ≈ 11.78 in ( to 2 dec. places )


Related Questions

2. How many different hands of 3 cards hands be chosen from a deck of 52 cards?

Answers

Answer:

There are 132,600 ways are there.

Explained:

We note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52*51*50=132,600 ways

What is the definition of correspondence?

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane.

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

The definition of correspondence is the act of conforming or agreeing with someone or something else. An example of correspondence is when a person acts in the same way she appears to think.

In simple terms, it means communication, generally looking at two things and identifying stuff about them

Hope that helps. x

volume of
a
cone
are
The
and a cylinder
in 9
the ratio 1:9 respectively. The height and diameter
of
16cm and 14cm. The diameter of
the
28cm. Find the height of the cylinkes.
the
cone
are
15
cylinder

Answers

The given ratio of the volumes indicates that the volume of the cylinder is 9 times the volume of the cone.

The height of the cylinder is 12 cm

Reasons:

The given parameter are;

Ratio of the volume of the cone to the cylinder to the 1 : 9

The height and diameter of the cone  are; 16 cm and 14 cm

The diameter of the cylinder = 28 cm

Required:

To find the height of the cone:

Solution:

[tex]\displaystyle The \ volume \ of \ a\ cone = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h[/tex]

[tex]\displaystyle The \ volume \ of \ the \ cone = \frac{1}{3} \times \pi \times \left(\frac{14}{2} \right)^2 \times 16 = \mathbf{ \frac{784}{3} \cdot \pi}[/tex]

Volume of a cylinder, V = π·r²·h

[tex]\displaystyle Radius \ of \ the \ cylinder = \frac{28 \, cm}{2} = 14 \, cm[/tex]

Volume of the cylinder, V = π × 14² × h = 2,352·π

The volume of the cylinder = 9 × The volume of the cone

Therefore;

[tex]\displaystyle Volume \ of \ the \ cylinder =9 \times \frac{784}{3} \cdot \pi = \mathbf{2,352 \cdot \pi}[/tex]

[tex]\displaystyle Height \ of \ the \ cylinder, \, h = \mathbf{\frac{2,352 \cdot \pi}{14^2 \cdot \pi}} = 12[/tex]

The height of the cylinder, h = 12 cm

Learn more about ratios here:

https://brainly.com/question/4713715

Question 9 of 10 What is the length of DE?

Answers

Answer:

I think it's B.

Step-by-step explanation:

What is the slope of the line (1,4) (3,2)

Answers

Step-by-step explanation:

the slope is the ratio of "y coordinate change / x coordinate change".

so, in our case here

x changes by +2 (from 1 to 3).

y changes by -2 (from 4 to 2).

so, the slope is -2/2 = -1.

The slope is 567 ok thanks and love ya

On a number line, where would be located?

Answers

Hi! C And D are correct

whats the solution.?

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x-4)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x+4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

 

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x+4  = 0 and calculate its properties

Step-by-step explanation:

x-4=-1/5x+2
Add 4 to both sides
x=-1/5x+6
Add 1/5x to both sides
6/5x=6
Multiply each side by 6/5
X=7.2

On a recent utility bill, the water/sewer/garbage portion of the bill was $92.43. This consisted of 74% of the total bill. To the nearest cent, what was the total amount of the utility bill?

Answers

Answer:

Step-by-step explanation:

$92.43 / 0.74 = $124.91

The total bill is equal to $124.9

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here, the given bill as 74% of the total bill as $92.43

Thus the total bill must be = 92.43×100/74

                                            = $124.9

Hence, The total bill is equal to $124.9

Learn more about percentages here:

#SPJ2

Bidmass working out questions

Answers

Answer:

2nd one

Step-by-step explanation:

i think(10+2)^2_4*11=100 in my opinion



Find the equation of the line l that is perpendicular to -3x + 6y = 11 and I passes
through the point (-2, 3)

Answers

Answer:

Step-by-step explanation:

-3x + 6y = 11

Put into slope-intercept form to find the slope

6y = 3x + 11

 y = 3x/6 + 11/6

 y = ½x + 11/6

so slope is ½

perpendicular lines have negative reciprocal slopes, so our perpendicular line has slope -2

the slope point form of the perpendicular line will be

(y - 3) = -2(x -(-2))

(y - 3) = -2(x +2)

the slope intercept form will be

y = -2x - 4 + 3

y = -2x - 1

what is equivalent to 1 and 5/6?? and what is 3 and 1/6 equivalent to?​

Answers

Answer: 1.833 and 3.167

Step-by-step explanation:

1 and 5/6 is demonstrated with this equation:

[tex]1 + \frac{5}{6} , \\\\\frac{6}{6} + \frac{5}{6} = \frac{11}{6} = 1.833\\[/tex]

3 and 1/6 is demonstrated with this equation:

[tex]3 + \frac{1}{6}, \\\\\frac{18}{6} + \frac{1}{6} = \frac{19}{6} = 3.167[/tex]

40x^-4 y^6
________
10x^-5 y^5

Answers

Answer:

[tex]4xy[/tex]

Step-by-step explanation:[tex](40/10) *(x^-^4/x^-^5) * (y^6/y^5) \\=4*x*y=4xy[/tex]

Dog food is sold in 7 pound bags. Sketch
a graph to show the weight of dog food
purchased by a customer who buys 0, 1, 2, 3, or 4 bags. Tell whether the graph is continuous or discrete.

Answers

Answer:

Continuous

Step-by-step explanation:

Help help math math math

Answers

Answer:

[tex]slope = \frac{20 - 16}{5 - 3} [/tex]

[tex] = \frac{4}{2} [/tex]

[tex] = 2 \: is \: the \: answer[/tex]

The slope of the equation is 2.

What is the slope of an equation?

The slope of an equation shows a gradient line that measures the steepness of the line.

It can be expressed by using the formula:

[tex]\mathbf{slope = \dfrac{\Delta y}{\Delta x}}[/tex]

[tex]\mathbf{slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

From the parameters given;

The change in y distance from y2 to y1 The change in x distance from x2 to x1

[tex]\mathbf{slope = \dfrac{20-16}{5-3}}[/tex]

[tex]\mathbf{slope = \dfrac{4}{2}}[/tex]

slope = 2

Learn more about the slope of the equation here:

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1 gallon is equal to 4 quarts or 8 pints. How many pints are in 3 gallons?

Answers

Answer:

24 pints

Step-by-step explanation:

if 1 gallon is = to 8

then 3 gallons is 24

There are 24 pints in 3 gallons.

To determine how many pints are in 3 gallons, we can use the conversion factor provided: 1 gallon equals 8 pints.

Step 1: Calculate the number of pints in 1 gallon.

Since 1 gallon equals 8 pints, we can write this as 1 gallon = 8 pints.

Step 2: Multiply the number of pints in 1 gallon by the number of gallons.

To find the number of pints in 3 gallons, we multiply the number of pints in 1 gallon (8 pints) by 3 gallons:

3 gallons × 8 pints/gallon = 24 pints.

Therefore, there are 24 pints in 3 gallons.

Learn more about conversion factor click;

https://brainly.com/question/30567263

#SPJ6

HELP ASAP I don't understand

Answers

Answer:

No

Step-by-step explanation:

These are the artists of each subject, not the general function of each genre.

Brainliest for

2nd time asking please helpp!!

Answers

Answer:

exact form is 6/5 its decimal form is 1.2, and mixed numbers is 1  1/5

Step-by-step explanation:

Answer:

6/5, 1.2, or 1 1/5

last week, dave predicted his weight at his physical would be 164 lbs. At the doctor’s his actual weight was 175 lbs. what was the percent of error in Dave’s estimate?

Answers

Answer:

[tex]6.29\%[/tex]

Step-by-step explanation:

[tex]\frac{175-164}{175}*100\%[/tex]

[tex]\frac{11}{175}*100\%[/tex]

[tex]0.0629*100\%[/tex]

[tex]6.29\%[/tex]

Which statement best describes π?
A:Pi is the result of dividing a circle’s circumference by its radius.
B: Pi is the result of dividing a circle’s diameter by its circumference.
C: Pi is the result of dividing a circle’s circumference by its diameter.
D: Pi is the result of dividing a circle’s radius by its circumference.

Answers

Answer:

C.

Step-by-step explanation:

Pi = circumference / diameter.

There are nine marbles in a group, and four of those marbles are red. What
fraction of the marbles are red?

Answers

the fraction 4/9 of the marbles are red
4/9 of the marbles are red

Solve the equation for solutions over the interval ​[0​°, 360°​).
[tex]tan^{2}x + 7 tanx +8 =0[/tex]

Answers

Answer:

[tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]

Step-by-step explanation:

[tex]tan^2x+7tanx+8=0,[0^{\circ},360^\circ)[/tex]

[tex]tan^2x+7tanx+8=0[/tex]

[tex]u=tanx[/tex] <-- U-substitution

[tex]u^2+7u+8=0[/tex]

[tex](u+7)(u+1)=0[/tex]

[tex](tanx+7)(tanx+1)=0[/tex] <-- Replace u with tanx

[tex]tanx+7=0[/tex]

[tex]tanx=-7[/tex]

[tex]x=98.13^\circ,278.13^\circ[/tex]

[tex]tanx+1=0[/tex]

[tex]tanx=-1[/tex]

[tex]x=135^\circ,315^\circ[/tex]

Therefore, [tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]

HELP!!
is {(-3,-6),(-2,-1),(-1,-0),(0,3),(1,15)} a function??

Answers

Answer: Yes it's a function

It's a function because we don't have any repeated x coordinates. Any given x input value leads to exactly one y output value.

The domain is {-3,-2,-1,0,1} which is the set of all x inputs.

The range is {-6, -1, 0, 3, 15} which is the set of y outputs.

Find x please and FAST!!!

Answers

Answer:

19

Step-by-step explanation:

Angle ZYW is congruent to angle YWX, so the 3 angles must add to 180.

(3x - 5) + 90 + 2x = 180

5x + 85 = 180

5x = 95

x = 19

You bought a magazine for $2 and some erasers for $5 each. You spent a total of $12. How many erasers did you buy?​.

Answers

Answer:

2

Step-by-step explanation:

I got it right bro man my guy I got you

The component form of vector vec w is vec w =(-25,10); Find- 1 5 vec w

Answers

Answer:

Let’s take a point each on the x, y, and z-axis as follows:

A (1, 0, 0) on x-axis

B (0, 1, 0) on y-axis and

C (0, 0, 1) on z-axis

unit vector

So, we have

|OA→| = 1 , |OB→| = 1, and |OC→| = 1

These vectors OA→, OB→, and OC→, each having magnitude 1 are Unit Vectors along the axes OX, OY, and OZ respectively. They are denoted by i⃗ , j⃗ , and k⃗  as shown in Fig. 1 above.

Step-by-step explanation:

What is the inverse operation of subtract 6?
O A. multiply by 6
O B. add 6
O C. subtract 6
O D. divide by 6

Answers

Inverse operation means the opposite and the opposite of subtract is add so your answer would be B. Add 6
the answer would be b

The given number line shows the solutions to which inequality

Answers

Answer:

B (x-7<-6)

Step-by-step explanation:

x < 1

What is the product of using scientific notation to solve the problem of 20.5 * 10 to the 7th power and 0.000036

Answers

Answer:

  7.38×10^3

Step-by-step explanation:

The usual rules of exponents apply.

  (20.5×10^7)(3.6×10^-5) = (2.05)(3.6)(10^(8-5)) = 7.38×10^3

_____

Additional comment

You can have your scientific or graphing calculator or your spreadsheet compute this product for you and display the result in scientific notation. You can enter the numbers in scientific notation or in standard form in any calculator or spreadsheet. (For a spreadsheet, the first number would be entered 20.5e7 or 2.05e8.)

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

Just as the place values increase by factors of 10 going to the left of the decimal point, so they decrease by factors of 10 to the right. The number 3 in 0.000036 is in the 5th place to the right of the decimal point, so has a place value of 10^-5.

Find the sum. 2/5 (d-10) -2/3 (d+6)

Answers

Answer:

Step-by-step explanation:

2/5 (d - 10) - 2/3 (d + 6)

=> 2d - 20/5 - 2d - 12/3

By taking LCM of 5, 3 = 15

=> 6d - 30/ 15 - (10d - 60/15)

=> 6d - 30/15 - 10d + 60/15

=> -4d + 30/15

Hope you understood!!

Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting in the image A′B′C′D′. If the slope of is -2, what is the slope of ?

A.
-4

B.
-1

C.
-2

D.
0

Answers

Answer:

The slope is -2.

Answer is C

Answer:

the answer is c. -2

Step-by-step explanation:

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