A company is designing a new logo that is comprised of four identical sectors of circles that have central angles
that measure 30º. A portion of the logo is shaded. The distance from the center, C, to point A is 8 inches
and the distance from point A to point B is 3 inches.
Determine the area of the logo that is shaded to the nearest tenth of a
square inch. Show the work that leads to your answer.

Answers

Answer 1
Answer:  59.7 square inches

============================================================

Explanation:

The radius of the larger circle is CB = CA+AB = 8+3 = 11 inches.

The area of the larger circle with this radius is...

A = pi*r^2

A = pi*11^2

A = 121pi

The area of the smaller circle (radius CA = 8 inches) is

A = pi*r^2

A = pi*8^2

A = 64pi

The difference is 121pi-64pi = 57pi

This represents the exact area of the full ring. Refer to figure 1 below. Specifically the red region of that figure.

However, we don't want the full ring. We only want a small fraction of it (as figure 2 shows, which is the original diagram your teacher gave you). Specifically, we want (4*30)/360 = 120/360 = 1/3 of the full ring. The 4*30 refers to the idea we have four copies of the 30 degree angle.

So we'll take 1/3 of the 57pi to get (1/3)*57pi = (57/3)pi = 19pi

-----------------------------------

The value 19pi is the exact area of the entire shaded region.

From here, you can use a calculator to determine that

19pi = 19*3.1415926535898 = 59.6902604182061 which rounds to 59.7

If your teacher insists you use pi = 3.14, then 19*pi = 19*3.14 = 59.66 which also rounds to 59.7


Related Questions

help very easy 5th grade math im in rush please help im very tired tell me how many x’s to put in each box.

Answers

Answer:

Step-by-step explanation:

none in the first 3 box

none in the second 3 boxes

2 in the third 3 boxes

1 in the 4th three boxes

1 in the 5th three boxes

3 in the 6th three boxes

and none in the last 3 boxes

hope this helped :D

Solve the proportion [tex]\frac{X+1}{3}[/tex] = [tex]\frac{X}{2}[/tex]
A).5
B).1
C).10
D).2

Answers

d.) 2 is the answer

i think

hey can someone help me? its due in 3 hours and my grades reay depend on it :((​

Answers

Answer:

B

A

B

C

B

A

C

D

C

C

D

C

C

D

B

A

HELP!! EASY 10 POINTS FOR BEST ANSWER

How many five-digit numbers, such as 14589, are so that their digits, whenread left-to-right, are strictly increasing?

Answers

Answer:

So there are 126 five-digit integers where each subsequent digit is larger than the previous digit, going from left to right.

Hope This Helps!!!

Use the graph to determine the lim HURRY PLS, NEED SOMEONE CONSISTENT

Answers

Answer:

3.5 sorry if i am wrong

Step-by-step explanation:

If a car is moving at the speed of 60 miles per hour how many miles would a car travel i 120 minutes

Answers

Answer:

120 miles

Step-by-step explanation:

120minutes= 2hour

2×60÷1=120 (miles)

In there Prime who was a better QB
A. Carson Palmer
B. Joe Flacco
C. Jacoby Brisset
D. Matt Ryan

try not to be biased :)

Answers

Answer:

b

Step-by-step explanation:

he won a super bowl and he was able to read the defenses better he also achieved a lot without good receivers. Ryan had julio and Carson had Fitz know about brisket

The input or values that you could put into an expression or
equation.

Answers

Answer: Domain

Step-by-step explanation: I just did this question, and got it correct by putting domain.

The input or values that you could put into an expression or

equation is called a Domain

What is range and domain of  a function?

Domain is set of values in a function . The range of the function is the set of values that the function assume .

Since , domain refers to the set of possible input values , it consists of all the input values shown on the x axis .

The input or values that you could put into an expression or

equation is called a Domain

learn more about Domain:

https://brainly.com/question/13113489?referrer=searchResults

#SPJ2

PLEASE HELP!! WILL AWARD BRAINLIEST!!

Answers

Answer:

2.478 million at the end of 2015

Step-by-step explanation:

Multiply the amount of population at the end of 2012 times 6%

2.1 times 0.06 = 0.126 million

So, at a constant rate, yearly, the population of Dubai increases 0.126 million

2015-2012 = 3

0.126 times 3 = 0.378 million

2.1 + 0.378 = 2.478 million

hope this helps:)

Apply the distributive property to create an equivalent expression. 12(2a - 6b+ 8) = 2 1 ​ (2a−6b+8)

Answers

Answer:

a+4=11b

Step-by-step explanation:

Distributive property in mathematics means to multiply the sum by a number of two or more add-ons will provide the same result that each add-on multiplies by a single number and then together add the products.

for example a( b+c) = ab+ac

Therefore, applying distributive property in asked eapression

12(2a - 6b+ 8) = 21(2a−6b+8)

24a+72b+96 = 42a-126b+168

198b=18a+72

9a +36=99b

3a+12=33b

a+4=11b

The theater sells two types of tickets: adult tickets for $15 and
child tickets for $11.
Last night, the theater sold a total of 147 tickets for a total of
$1889. How many adult tickets did the theater sell last night?

Answers

Answer:

68

Step-by-step explanation:

Let x=adult tickets and y=child tickets

1) 15x+11y=1889

2) x+y=147

multiply equation 1 by -1/11 on both sides to get:

-(15/11)x-y=-171.73

add new equation with equation 2 to get

-4/11x=-24.73

Isolate x to get:

x=67.99999

Round up to get 68 adult tickets

HELPP MEE PLEASE! I NEED HELPASAP PLEASE

Answers

Answer:

there is no image cannot help

Answer:

what do you need help with?

plzz add an explanation for it too

Answers

Answer:

A     $0.02

Step-by-step explanation:

Let's solve how much does it cost to have a bulb on for an hour. ⇒ 120 watt = 0.1 kilowatt per hour which costs 0.20 per kilowatt per ⇒ 0.1 kilowatt per hour* 0.20 = 0.02 dollars in an hour.

Xavier needs to bike a minimum of 80 miles this week for his training. If he already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week? A INEQUALITY (please)

Answers

Answer:

At least 11 miles a day.

Step-by-step explanation:

(80-14)÷6≥80

Can someone help me p

Answers

Answer:

I believe its the 3rd one

"You receive a check for your birthday and go to the bank to cash the check"

I mean that looks right to me but i could be wrong! Please do tell me if i am, but i think its a opinion question!!

I think the third one

I’m little confused can any explain?


(NO LINK PLS <3)

Answers

Answer:

13

Step-by-step explanation:

To find the range substitute the value of x from the domain into the equation.

x = - 2 : y = -5(- 2) + 3 = 10 + 3 = 13

x = 0 : y = - 5(0) + 3 = 0 + 3 = 3

x = 1 : y = - 5(1) + 3 = - 5 + 3 = - 2

x = 3 : y = - 5(3) + 3 = - 15 + 3 = - 12

range is { - 12, - 2, 3, 13 }

with greatest value in the range being 13

please help ill give brainliest !!!!!!!! its science btw

Answers

Answer:

I think it is elements that restrict resources essential to survival and reproduction

Step-by-step explanation:

Answer:

number 1

Step-by-step explanation:

HELP ME PLEASE!! I’ll give you brainliest!

Answers

Answer:

D, C, B

Step-by-step explanation:

Last week, Nora sold 36 pineapples ([tex]48-12=36[/tex]), and 48 bananas.

Last week, the ratio of bananas sold to pineapple sold was [tex]48:36[/tex], which simplify to [tex]4:3[/tex]

The ratio means that for every 4 bananas sold, the number of pineapple sold was 3.

Calculate cos0 to two decimal places. 7 8 Xà A. 0.69 B. -0.14 C. -0.42 OD. -0.07

Correct answer: -0.07​

Answers

Answer:

D.  -0.07 to nearest hundredth.

Step-by-step explanation:

Applying the Cosine Rule:

11^2 = 7^2 + 8^2 - 2*7*8 cos O

cos O = (11^2 - 7^2 - 8^2) / (-2*7*8)

= 8/-112

= -0.07143.

what is the axis of symmetry of the graph of function f(X) = X2 - 10X +16

Answers

Answer:

Axis of Symmetry: [tex]x=5[/tex]

Step-by-step explanation:

The axis of symmetry is defined as the line [tex]x=\frac{-b}{2a}[/tex]. Therefore, our axis of symmetry is located at the line [tex]x=\frac{-(-10)}{2(1)}=\frac{10}{2}=5[/tex]. See the graph attached for a visual.

Answer:

x = 5

Step-by-step explanation:

That's f(x) = x^2 - 10x + 16.  The coefficients of the x terms are {1, -10, 16}:  {a, b, c}.  

                                                                         -b

The formula for the axis of symmetry is x = --------

                                                                           2a

Here, with a = 1 and b = -10, the formula for this particular axis of symmetry is

       -(-10)

x = ------------ = 5

         2(1)

or x = 5

m ∠CAD = _____.
what is the correct formula ?

Answers

Answer:

2nd option is the correct answer

Step-by-step explanation:

Hope it helps you in your learning process.

From the information in the diagram can you prove FDg aNd FDE

Answers

Answer:

Yes the ans is option a

because

Step-by-step explanation:

1. Angle f and.angle d are equal

2. Side opp. to the equal angle are equal.

Find the sine ratio of angle . Hint: Use the slash symbol (/) to represent the fraction bar, and enter the fraction with no spaces.

Answers

Answer:

sine = 15/17

=sin*-1(15/17)

please can someone help me

Answers

9514 1404 393

Answer:

  68.6 square units

Step-by-step explanation:

The relevant area formulas are ...

  A = LW . . . . rectangle of length L and width W

  A = (π/4)d² . . . . . circle of diameter d

__

You have a rectangle of dimensions 4 by 14, and a circle of diameter 4. The total area is ...

  A = (4×14) +(π/4)(4²) = 4(14+π) ≈ 68.6 . . . . square units

Someone please help me

Answers

Answer:

x = 34°

Step-by-step explanation:

The chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

x = [tex]\frac{1}{2}[/tex] ( AB + CD ) = [tex]\frac{1}{2}[/tex] (45 + 23)° = 0.5 × 68° = 34°

Help and you get 20 points and you will feel good i hope

Answers

Answer:

Change your greater than to less than

Step-by-step explanation:

The -1 1/4 is farther away from 0 than -1, which means it's less than -1.

Re uploaded the pic. Please help

Answers

Answer:

It would.

Step-by-step explanation:

Give me a brainiest answer please and thanks sir!

Answer:

the second one

Step-by-step explanation:

if you want to find the outlier just search it up

Directions: Type your answer in the box. Do not use spaces.
If triangles EFG and GHE are congruent, what is the measure of angle FEG?
F
G
110°
+
360
(x + 24)
E
H
ub
degrees
10

Answers

Answer:

36 cuz they are congruent

Step-by-step explanation:

Determine whether the lines given by the fallowing equations intersect at (-1/4,3/4) show all work. 4x+8y=5, x-3y= -3

Answers

Answer:

(0, 1)

Step-by-step explanation:

First, we need to make y the subject of the formula from both expressions

For 4x+8y=5

8y = 5- 4x

y = (5-4x)/5

Similarly for x-3y= -3

-3y = -3 - x

3y = x+3

y = (x+3)/3

Since both lines intersects, hence;

(5-4x)/5 = (x+3)/3

Cross multiply

5(x+3) = 3(5-4x)

5x + 15 = 15 - 12x

5x + 12x = 15 - 15

17x = 0

x = 0/17

x = 0

Sustitute x = 0 into any of the equations

Given that y = x+3/3

y = 0+3/3

y = 3/3

y = 1

This shows that the lines intesects at (0, 1)

The cost to play the game is $2. The winner gets $6 for making green. Suppose 36 people play the game. How much money will the school take in from this game before giving out prize money? *

Answers

Answer:

$72

Step-by-step explanation:

I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.

Answer:

$72

Step-by-step explanation:

You are trying to determine how much money the school will take in before giving out prize money. Knowing this, you can actually ignore the $6 that the winner will get because you are not worried about giving out the prize money yet. You are only worried about how much you will make before the prize money.

So, you can do simple multiplication to find the answer:

price per game * amount of people playing game = money made from games

$2 * 36 = x

$72 = x

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