Mathematics High School

The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the area of the sector removed from the inner circle is R^2/r^2 .

Answers

Answer 1

Answer:

[tex]Ratio = \frac{R^2 - r^2 }{ r^2}[/tex]

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

[tex]Area = \frac{\theta}{360}\pi r^2[/tex]

For the inner circle

[tex]r \to radius[/tex]

The sector of the inner circle has the following area

[tex]A_1 = \frac{\theta}{360}\pi r^2[/tex]

For the whole circle

[tex]R \to Radius[/tex]

The sector of the outer sector has the following area

[tex]A_2 = \frac{\theta}{360}\pi (R^2 - r^2)[/tex]

So, the ratio of the outer sector to the inner sector is:

[tex]Ratio = A_2 : A_1[/tex]

[tex]Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2[/tex]

Cancel out common factor

[tex]Ratio = R^2 - r^2 : r^2[/tex]

Express as fraction

[tex]Ratio = \frac{R^2 - r^2 }{ r^2}[/tex]

The Sector COB Is Cut From The Circle With Center O. The Ratio Of The Area Of The Sector Removed From

Related Questions

This is due at midnight need help ASAP

Answers

Answer:

hiiii i would love to answer yoyr question all you have to do is the bottom line which is x from the 1 count all the way until 5 and that is your answer for the first one and then for the y from the 4 count all the way until the 13 and that will give you your answer so ( , )

Hudson is having his car repaired. The mechanic said it would cost at least $425 for parts
and labor. The cost of the parts was $200 and the mechanic charges $75 per hour for
labor. Write and solve an inequality to find how many hours the mechanic plans to work on
the car. Interpret the solution.

Answers

Answer:

The correct answer is - 3 hours.

Step-by-step explanation:

Given:

Price of parts: $200

Price of labor: $75/hour

Total cost: $425

Solution:

Let x = x of hours work done on the car

The inequality can be represented as:

425 = 75x + 200

Solving this inequality, we find that

225 =75x

x = 3

Thus, It means that the mechanic will take at least 3 hrs to work on his car.

288 chocolates are put into three boxes The chocolate are put into a small box a medium box and a large box on the ratio 1:3:8

Answers

24 small box, 72 medium box, 192 large box

i need help please hurry :)

Answers

Answer:

vertical, 47

Step-by-step explanation:

vertical, 47

Answer:

vertical; 47

Step-by-step explanation:

Vertical angles are opposites.

Octavia is wrapping a cube-shaped gift box with wrapping paper. If the cube's edge has a length of 27.8 in., what is the amount of wrapping paper Octavia needs to wrap the gift?

Answers

Answer:

21484.952 ft^3

Step-by-step explanation:

a cube has the same edges so its basically

27.8^3

A N S W E R
Q U I C K L Y
P L E A S E

Answers

Answer: D!!

Step-by-step explanation:

You need a common denominator (bottom number) to subtract!

Answer:

Step-by-step explanation:

I think it is D. Hopfully.

HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST

Answers

Answer: B

Explanation

Find the volume of this sphere.
Use 3 for 7T
V [?]ft3
V = Tr3
1
3ft
PLEASE HELP

Answers

Answer:

eyjssghafhfa

hatt

hatthwwtu

twh

wth

wty

wth

had to be 20 characters long...

GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT

What are the zeroes of f(x) = x2 − 2x − 3?

x = −3, 1
x = −3, −1
x = 3, 1
x = 3, −1

Answers

Answer:

x=3 x = -1

Step-by-step explanation:

f(x) = x^2 − 2x − 3

Set the function equal to zero

0 = x^2 − 2x − 3

Factor

What two numbers multiply to -3 and add to -2

-3 *1 = -3

-3+1 = -2

0 = (x-3)(x+1)

Using the zero product property

x-3 =0 x+1 =0

x=3 x = -1

Solve this problem and I will give you a brainliest (up)

Answers

x=1
3x-5=-2
3(1)-5=-2
3-5=-2
-2=-2

Answer:

x < 1

x > -1

Step-by-step explanation:

Mr. Kelly pays $12,564 a year for rent. His rent is a constant amount each month.
Which equation represents the amount he pays per month if m = months and
c = total rent paid for the year?

Answers

Answer:

c=12,564

m=1,047

Step-by-step explanation:

I don’t know sorry .................

How to factorise this question

Answers

Answer:

Step-by-step explanation:

90-2(a-3)^2

=88{(a)^2-2*a*3+(3)^2]

=88[a^2-6a+9}

=88a^2-528a+792

i need help pls its a review form few years ago i cant rember the greeen and gray box pls help me

Answers

Answer:

The answer is 21 remainder 6

Step-by-step explanation:

can someone pls pls help me ?

Answers

first answer

3 coins :: 40 cents

1 quarter (25)
1 dime (10)
1 nickel (5)

25 +5 = 30 +10 = 40

(5. solve for x )
2/5 + x = 1

Answers

X=3/5 for exact form of decimal it is x=0.6

5f - 2g + 3f - 4 - g

Answers

Answer:

8f-3g-4

Step-by-step explanation:

hope this helps U0U

quentin is going to buy a pair of pants that cost $32.50. he has a coupon for 20% off the price of one item and another coupon for $5.00 off the price of one item. he can only use one coupon. which coupon should quentin use to save the most money

Answers

Answer:

20% coupon

Step-by-step explanation:

20% of 32.50 = 6.5

32.50 - 6.50 = 26

32.50 - 5 = 27.50

26 is less than 27.50, therefore, the 20% off coupon should be used to save him $1.50.

What is the measure of ZYOZ, given that WXYZ?
W
X
105°
A. 75°
B. 255°
C. 95°
D. 105°

plss helpp

Answers

Answer:

same 105° option D is correct

A camera shop purchases a camera for $56.98 and sells it for $102.56. What is the percent of markup?
180%
120%
80%
20%

Answers

Answer:

180%

Step-by-step explanation:

Set up an equation:

Variable x = percent of markup

102.56/56.98 = x/100

Cross multiply

102.56 × 100 = 56.98 × x

10,256 = 56.98x

Divide both sides by 56.98:

179.99297.... = x

Round to nearest whole number:

180 = x

Check your work:

56.98 × 180%

Convert the percentage into a decimal:

56.98 × 1.80

102.564

Round to nearest cent:

102.56

Correct!

If x varies directly as y and x = 74 when y = 10, find x when y = 4.

Answers

Answer:

The value of x is 21 .

Step-by-step explanation:

We are given that x varies directly as y

--- A

We are given that x = 7 and y = 28

Substitute the values in A

7 = 28k

Now equations becomes :

y = 84

Hence The value of x is 21 .

#Learn more:

Find the value of y for a given value of x, if y varies directly with x.

If y = −252 when x = 84, what is y when x = 74

Step-by-step explanation:

Akhil and Sonu are friends who study in the same school who attended their Assessment test, after they get their results, Akhil and
Sonu compared their scores. His friend Sonu claims that his score is a two-digit number, the sum of the digits of which is 14. The
number formed on reversing the digits of this number is 36 less than the number.
Read the paragraph carefully and answer the below question:
11.
1) What is the digit in the unit's place originally? help plsss

Answers

Answer:

digit in the unit's place originally = 5

Step-by-step explanation:

x + y = 14

xy - yx = 36

Now, the only single digits that sum up to 14 are;

9 + 5 = 14

8 + 6 = 14

We can't use 7 + 7 because they said there is a difference when the numbers are reversed.

Now, let's assume 95 is the original number since we are told when it is reversed it is lesser.

Thus, when reversed we have 59.

Difference = 95 - 59 = 36

Thus,unit number of original number = 5

Which graph below shows a line that contains ordered pairs that are solutions of the equation shown?

y = –x + 4

Answers

Given:

The equation is:

[tex]y=-x+4[/tex]

To find:

The graph of the line that contains ordered pairs that are solutions of the given equation.

Solution:

We need to find the graph of the given equation.

We have,

[tex]y=-x+4[/tex]

At [tex]x=0[/tex], we get

[tex]y=-0+4[/tex]

[tex]y=4[/tex]

So, the x-intercept of the given equation is at point (0,4).

At [tex]y=0[/tex], we get

[tex]0=-x+4[/tex]

[tex]x=4[/tex]

So, the y-intercept of the given equation is at point (4,0).

From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).

Therefore, the correct option is C.

heeelpppppppppppppppppppppp plz

Answers

Answer:

150°

Step-by-step explanation:

150 degrees: the 30 degree angle is congruent to the angle on the other side of x, and a straight line is 180 degrees so subtract 30 from 180 and you get 150 degrees.

Quinlan pays $178 every 4 months for his guitar lessons. At this rate, how much will Quinlan pay for 3 years of guitar lessons? A $534 B $2,136 C $1,602 D $712. Can you explain how I show my work for it because it's %50 or my grade

Answers

Answer:

c 1602

Step-by-step explanation:

there are 36 months in 3 years but he pays every 4 months so now we do 36/4 to get 9 after we do 178x9 to get 1602

I need a answer for this

Answers

Answer:

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10^2

a^2 +64=100

a^2 = 100-64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

Alan’s gift basket contains three oranges for every five apples. If the basket has nine oranges, how many apples does it have?

Answers

Answer:

15 apples

Step-by-step explanation:

9.

Identify the vertex of the graph. Tell whether it is a minimum or maximum.

A. (–2, 1); minimum

B. (–2, 1); maximum

C. (1, –2); minimum

D. (1, –2); maximum

Answers

Answer:

C. (1, –2); minimum

Step-by-step explanation:

Answer:

Step-by-step explanation:

The vertex is the turning point of the graph.

This is at (- 1, - 2)

The graph changes from decreasing to increasing at (- 1, - 2)

Hence is a minimum at (- 1, - 2)

Is this a Pythagorean triplet ?
12,5,13

Answers

Yes, because 12^2 + 5^2 = 13^2

C =tid circumference = 3.14 x diameter
If a circle has the diameter of 24 ft, what is the circumference?
ft.

Answers

Answer:

75.36.

Step-by-step explanation:

C= Pi D (Pi times diameter) so you do 3.14x 24 which then you get your answer of 75.36.

What is the perimeter?

Answers

A perimeter is either a path that encompasses/surrounds/outlines a shape or its length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications. A calculated perimeter is the length of fence required to surround a yard or garden.

Other Questions

Two polypeptides, X and Y, have similar tertiary structures. X normally exists as a monomer while Y exists as a tetramer, Y4. What differences might be expected in the amino acid composition of X versus Y How many questions are on finals in high school freshmanBoth English math and biologyand what if you fail the final exam 8. Albinism ( lack of pigment) in humans is caused by a recessive gene. If normal parents have an albino child,what is the probability that their next child will be normal for pigment color?Show the Punnett Square pls help im so bad at math what is the period of a water wave with a frequency of 0.5 Hz? 2) How does Totalitarianism relate to World War 2? A box attached to a spring is being pulled across a flat frictionless surface. The spring constant is 45 N/m, the box is accelerating at1.3 m/s2, and the spring is stretched by 0.88 m. What is the mass of the box?26 kgO 38 kg30 kgO 33 kgPlzzzzz help Find the area of a circle with a radius of 8.Either enter an exact answer in terms of 7 or use 3.14 for 1 and enter your answer as a decimal.units2 x/2 If x = 16, what is the solution? A 8 B 9 C 14D 32 how many sperm cells are formed from an original cell in a drosophila fruit fly at the conclusion of meiosis. Which DNA strand represents the complementary basesequence to the portion of a DNA strand representedin the diagram shown? ? 8. Since 1980, many factories have increase production while simultaneouslyreducing their number of employees. This increase in efficiency has largely beenthe result of *A)communismB)subsidiesC)automationD)Offshoring Adjust the percentages of Chris investments to make his portfolio one with potential high growth Identify the vertex:f (x) = -x^2+ 10x The major advantage of a regular partnership or a corporation as a form of business organization is the fact that both offer their owners limited liability, whereas proprietorships do not. True False Someone please help I'm horrible at math :( ASASP PLZZ HELP What is the counterclaim of this paragraph? [1] It's all over the news: kids are spending a lot of time on homework. [2] With the current emphasis on high-stakes testing, educators are trying to do more with less, which can result in an overabundance of schoolwork outside of school. [3] Thats not necessarily a negative thing. [4] Some critics say there is no evidence to suggest that homework is helpful to student achievement. [5] On the contrary, homework is necessary and helpful, designed so students can practice the concepts taught in class, build good study habits, and reflect on their own learning. [4] Some critics say there is no evidence to suggest that homework is helpful to student achievement. [5] On the contrary, homework is necessary and helpful, designed so students can practice the concepts taught in class, build good study habits, and reflect on their own learning. [2] With the current emphasis on high-stakes testing, educators are trying to do more with less, which can result in an overabundance of schoolwork outside of school. [1] It's all over the news: kids are spending a lot of time on homework.NO LINKS Two boxes have the same volume. One box has a base that is 5 cm by 5 cm. The other box has a base thatis 10 cm by 10 cm.How many times as toll is the box with the smaller base?times as tall Can somebody please help me out this test is due tomorrow and this is hard find the value from the given photo what is the volume of a cube that has a height of 10 inches.