Circle A has radius 4 feet .Circle B has
radius 9 feet .What is the ratio of the area of arcle A to the
area of circle B?

a . 1/2
b . 4/9
c . 8/27
d . 16/81​

Answers

Answer 1

Answer:

d. 16/81

Step-by-step explanation:

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

r - radius

The ratio of the areas of the difference circles:

[tex]\dfrac{A_1}{A_2}=\dfrac{\pi r_1^2}{\pi r_2^2}=\dfrac{r_1^2}{r_2^2}=\left(\dfrac{r_1}{r_2}\right)^2[/tex]

We have

Circle A: r₁ = 4ft

Circle B: r₂ = 9 ft

Substitute:

[tex]\dfrac{A_A}{A_B}=\left(\dfrac{4}{9}\right)^2=\dfrac{16}{81}[/tex]

Answer 2

the ratio of the area of Circle A to the area of Circle B is 16/81, which corresponds to answer choice (d).

To find the ratio of the area of Circle A to the area of Circle B, we use the formula for the area of a circle, which is A = (pi)r^2. For Circle A, with a radius of 4 feet, the area is (pi)(4 ft)^2. For Circle B, with a radius of 9 feet, the area is (pi)(9 ft)^2.

Calculating these areas:

Area of Circle A = (pi)(4 ft)^2 = 16(pi) ft^2

Area of Circle B = (pi)(9 ft)^2 = 81(pi) ft^2

Now, we take the ratio of the two areas:

Ratio = (Area of Circle A) / (Area of Circle B) = (16(pi) ft^2) / (81(pi) ft^2) = 16/81

Therefore, the ratio of the area of Circle A to the area of Circle B is 16/81, which corresponds to answer choice (d).


Related Questions

(HELP ASAP PLEASE)
Brenna wrote a business plan for an entrepreneurship class, and now she has to make bound copies. Brenna could use a printer who charges a setup fee of $52 and $5 for every copy printed. Another possibility is to go to the office supply store, where she could pay an up-front fee of $24 and $12 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How many copies is that? How much would the copies cost?


For ___ copies, the cost is $ ___ .

Answers

Answer:

for four copies the cost is $72

Step-by-step explanation:

52 + 5a = 24 + 12a

28 + 5a = 12a

28 = 7a

a = 4

52 + 20 = 72

for four copies the cost is $72

Adante begins to evaluate the expression 3 1/3 x 5 1/4 using the steps below

Answers

Answer:

[tex]\frac{35}{2}[/tex]

Step-by-step explanation:

To solve this problem we need to write the mixed fraction as a fractional number, as follows:

[tex]3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}[/tex]

[tex]5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]

Then, evaluating the expression:

[tex]\frac{10}{3}[/tex]×[tex]\frac{21}{4}[/tex] = [tex]\frac{210}{12}[/tex] =  [tex]\frac{35}{2}[/tex]

Eduardo's average speed on his commute to work was 55 miles per hour. On the way home, he hit traffic and only averaged
40 miles per hour. If the round trip took him 1.25 hours, which expression represents the distance, in miles, for his trip home
that is missing from the table?
Rate
(mi/h)
55
Time
(h)
Distance
(miles)
55t
Commute to
Work
Commute to
Home
40

Answers

Answer:

The answer is 40(1.25 – t) C.

Step-by-step explanation:

That's the answer for e2020 students!!

Answer:

c

Step-by-step explanation:

big brain

CAN SOMEONE PLEASE HELP ME ANSWER THIS ​

Answers

If the probability of even is 1/4 that is a quarter. A quarter of 120 is 120/4= 30 times

What is the value of x , given that the two prisms are similar ?

Answers

Answer:

x = 40 units.

Step-by-step explanation:

Corresponding sides of the 2 prisms are in the same ratio , so:

x / 20 =  10 / 5

x/ 20 = 2

x = 2 * 20

x = 40 units.

ANSWER

The correct choice is A.

EXPLANATION

If the the two prisms are similar, then their corresponding sides are in the same proportion;

This implies that

[tex] \frac{x}{20} = \frac{6}{3} [/tex]

We simplify to get;

[tex] \frac{x}{20}=2[/tex]

We now multiply both sides by 20 yo obtain;

[tex] \frac{x}{20} \times 20 = 2 \times 20[/tex]

We simplify and multiply out to get:

[tex]x = 40[/tex]

Therefore the value of x is 40 units

find the solution of this system of equations 3x+7y=46 and -3x-8x=-50

Answers

Answer:

x = 6 and y =4

Step-by-step explanation:

It is given that,system of equations 3x+7y=46 and -3x-8x=-50

To find the solution

Let  3x + 7y = 46 --------(1)

-3x-8x=-50   -------(2)

eq(1) + eq(2)

3x + 7y = 46

-3x - 8x = -50

        -y = -4

y = 4

(1) ⇒  3x + 7y = 46

3x + 7*4 = 46

3x= 46 - 28

3x = 18

x = 18/3 =6

Therefore x = 6 and y = 4

Solve the proportion r/72= 3/9​

Answers

Answer:

[tex]r=\frac{7}{3}[/tex]

Step-by-step explanation:

When given the equation

[tex]\frac{r}{72} =\frac{3}{9}[/tex]

We must multiply each side by 72 in order to isolate r.

[tex]r =\frac{3}{9}*\frac{7}{1} \\\\r=\frac{21}{9} \\\\r=\frac{7}{3}[/tex]

Abigail and her mom are back-to-school shopping at new Navy . Select items are on sale at 43% off their regular price . What is the sale price of an item that has a regular price of $22?​

Answers

Answer:

$12.54

Step-by-step explanation:

First, you have to apply the sale to the original price. In this case, you would have to multiply 22 and 43% to get $9.46. Now, you have to subtract 9.46 from 22 to get 12.54.

(HELP ASAP PLEASE)
Solve using any method and fill in the blanks.

Lloyd's Bakery sold one customer 9 dozen chocolate cookies and 8 dozen oatmeal cookies for $110. The bakery also sold another customer 9 dozen chocolate cookies and 5 dozen oatmeal cookies for $89. How much do the cookies cost?

A dozen chocolate cookies cost $___ and a dozen oatmeal cookies cost $___

Answers

Answer:

A dozen chocolate cookies cost $6

and a dozen oatmeal cookies cost $7

Step-by-step explanation:

Let's assume that cost of 1 dozen chocolate cookies = x

Let's assume that cost of 1 dozen oatmeal cookies = y

then we get equations:

9x+8y=110...(i),

and 9x+5y=89...(ii)

Solve equation (i) for x

9x+8y=110

9x=110-8y

[tex]x=\frac{110-8y}{9}[/tex]...(iii)

plug (iii) into (ii)

9x+5y=89

[tex]9\left(\frac{110-8y}{9}\right)+5y=89[/tex]

[tex]110-8y+5y=89[/tex]

[tex]9\left(\frac{110-8y}{9}\right)+5y=89[/tex]

[tex]110-3y=89[/tex]

[tex]-3y=89-110[/tex]

[tex]-3y=-21[/tex]

[tex]y=7[/tex]

plug y=7 into (iii)

[tex]x=\frac{110-8y}{9}=\frac{110-8(7)}{9}=6[/tex]

So the final answer is given by:

A dozen chocolate cookies cost $6

and a dozen oatmeal cookies cost $7

which values can be substituted for x in x-4 > 0

Answers

Answer: Anything greater than 4. (5, 6, 7, etc.) Which can be represented as x>4

Step-by-step explanation: Solve this as an equation. Draw a line through the inequality line. Add 4 to the 0, so it's now x>4. The x must be greater than 4.

how do you change y=x^2-10x-6 into vertex form

Answers

Converting to vertex form is actually pretty simple so I think you might find something to help you out here. :)

https://mathbitsnotebook.com/Algebra1/Quadratics/QDVertexForm.html

Ken can walk 40 dogs in 8 hours how many dogs can ken walk in 12 hours

Answers

Answer:60

Step-by-step explanation:40/8 =5 so that means he can walk 5 dogs per hour and if you times 5 by 12 you get 60 as your answer.

Answer:

Ken can walk 60 dogs in 12 hours.

Step-by-step explanation:

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other, the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

So, [tex]x=\frac{c*b}{a}[/tex]

In this case it is direct magnitudes, so that the three direct rule can be applied as follows: if Ken can walk 40 dogs in 8 hours, how many Ken dogs can he walk in 12 hours?

[tex]number of dogs=\frac{12 hours*40 dogs}{8 hours}[/tex]

number of dogs= 60

So, Ken can walk 60 dogs in 12 hours.

A taxi cab charges $0.55 per mile in addition to a $1.75 flat rate fee. Susie has $10 to spend on a taxi cab ride. The taxi driver will not give anyone a ride unless they are going somewhere that is more than 2 hours away. Model Susie's situation with a system of inequalities

Answers

Let y equal to

the total fare and x is the mile of taxi ride. So the equation is

Y = 0.55x + 1.75

Since Susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

X = 15 miles of

taxi ride

So the system of

inequality is

10 < 0.55x +

1.75

X > 2

What is the degrees in arc AE?

Answers

Answer:

[tex]\boxed{27^{\circ}}[/tex]

Step-by-step explanation:

BD is a diameter of the circle, so

mDE + mAE + mAB = 180°

 63° + mAE +  90°  = 180°

          mAE + 153°  = 180°

          mAE            =    27°

The measure of arc AE is [tex]\boxed{27^{\circ}}[/tex]

Solve the following equation. Then place the correct number in the box provided. x/1.2=15

Answers

Answer:

x = 18

Step-by-step explanation:

The equation to solve is:

[tex]\frac{x}{1.2}=15[/tex]

This basically means, "what number" (x), divided by 1.2 would give us 15??

We can cross multiply and simply solve for x:

[tex]\frac{x}{1.2}=15\\x=1.2*15\\x=18[/tex]

Correct answer x = 18

Answer:

x=18

Step-by-step explanation:

x/1.2=15

Multiply each side by 1.2

x/1.2 * 1.2 =15 * 1.2

x = 18

To find the solution to a system of linear equations, Verdita begins by creating equations for the two sets of data points
below

Which equations could Verdita use to represent the data sets?
Data Set A: Y-4x-2
Data Set B: y = x+4
Data Set A -4x-2
Data Set B: y = x-4
Data Set A y = 4x+2

Answers

Answer:

y= 4x -2

y= x + 4

Step-by-step explanation:

To find equation for Data set A  and B , pick any two points from the table

(-1,-6)  and (1,2)

To find equation use y=mx+b

where m is the slope and b is the y intercept

[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{2+6}{1+1} = 4[/tex]

Use point slope formula, use (1,2)

y-y1=m(x-x1)

y - 2= 4(x-1)

y-2= 4x-4 (add 2 on both sides)

y= 4x -2

(-2,2) and (0,4)

To find equation use y=mx+b

where m is the slope and b is the y intercept

[tex]m= \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{0+2} = 1[/tex]

Use point slope formula, use (0,4)

y-y1=m(x-x1)

y - 4= 1(x-0)

y - 4=x (add 4 on both sides)

y= x + 4

35 Points !

20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than $42 on art supplies.
a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy.
b. Name three different solutions to the inequality.

Answers

For this case we have to:

x: It is the variable that represents the quantity of paint bottles

y: It is the variable that represents the number of boxes of colored pencils

So, we have:

[tex]2x + 3.50y[/tex]

If you can not spend more than $ 42 then we have:

[tex]2x + 3.50y\leq42[/tex]

Then you can buy 10 boxes of colored pencils and 3 of paint bottles at a cost of $ 41

[tex]2 (3) +3.50 (10)\\6 + 35 = 41[/tex]

You can buy 5 boxes of colored pencils and 12 of paint bottles at a cost of $

[tex]2 (12) +3.50 (5)\\24 + 17.5 = 41.5[/tex]

You can buy 7 boxes of colored pencils and 8 of paint bottles at a cost of $

[tex]2 (8) +3.50 (7)\\16 + 24.5 = 40.5[/tex]

Answer:

[tex]2x + 3.50y\leq42[/tex]

A 15-m2 wooded area has the following: 30 ferns, 150 grass plants, and 6 oak trees. What is the population density per m2 of each of the above species?

Can someone plz help me

Answers

Answer:

See the procedure

Step-by-step explanation:

we know that

To find the population density per m² of each of the above species, divide the amount of each species by the total area

so

Ferns

[tex]\frac{30}{15}=2\frac{ferns}{m^{2}}[/tex]

Grass plants

[tex]\frac{150}{15}=10\frac{grass\ plants}{m^{2}}[/tex]

Oaks Trees

[tex]\frac{6}{15}=0.4\frac{oaks\ trees}{m^{2}}[/tex]

What is the correct solution to the expressions 3 + 5^2

Answers

Answer:

28

Step-by-step explanation:

3+5^2

3+25

28

Answer:

28

Step-by-step explanation:

5^2=5*5

5*5=25

25+3=28

Given that point X is the incenter of ABCD, what can you conclude about line segments XY, XA, and yz?

A.they are all congruent
B.only XY and XA are congruent
C.only XA an XZ are congruent
D.None of them are congruent

Answers

Answer:

A. They are all congruent

Step-by-step explanation:

I can't seem to remember the name right now, but since X is the incenter and all of the segments are perpendicular, they are a certain kind of line segment whose name I can't remember where they are all congruent.

Answer:

A

Step-by-step explanation:

A rectangle has a length of (6x+1) units and a width of (3x+1 units. Express the area of the rectangle as trinomial. Please I really need help and my tutor didn’t help. Please explain the work u did

Answers

whenever you have say a multiplication of a binomial or any polynomial, you can simply multiply each term of one by the other's terms, namely

(a+b)*(c+d+e)  => a(c+d+e) + b(c+d+e), and then add like-terms.

[tex]\bf \stackrel{length}{(6x+1)}\stackrel{width}{(3x+1)}\implies 6x(3x+1)+1(3x+1)\implies (18x^2+6x)~~+~~(3x+1) \\\\\\ 18x^2+6x+3x+1\implies \stackrel{\textit{adding like-terms}}{18x^2+9x+1}[/tex]


[tex] 2 {r}^{2} - 4r - 16[/tex]

Answers

Answer:

Step-by-step explanation:

Take out a common factor of 2

2(r^2 - 2r - 8) Now factor.

2(r - 4)(r + 2)  

Answer: r=4,-2

2r^2-4r-16=0

2(r^2-2r-8)=0

2(r-4)(r+2)=0

r=4,-2

Which of the following is the product of the rational expressions shown below

Answers

ANSWER

A.

[tex]\frac{ {x}^{2} - 36}{ {x}^{2} - 9 } [/tex]

EXPLANATION

The rational expression is

[tex] \frac{x + 6}{x + 3} \times \frac{x - 6}{x - 3} [/tex]

Multiply the numerators and the denominators to get:

[tex] \frac{(x + 6)(x - 6)}{(x + 3)(x - 3)} [/tex]

Recall that:

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]

We apply this difference of two squares property to get:

[tex] \frac{ {x}^{2} - {6}^{2} }{ {x}^{2} - {3}^{2} } [/tex]

[tex] \frac{ {x}^{2} - 36}{ {x}^{2} - 9 } [/tex]

Answer: Option A

Step-by-step explanation:

You need to multiply the numerator of the first fraction by the numerator of the second fraction and multiply the denominator of the first fraction by de denominator of the second fraction:

[tex]\frac{x+6}{x+3}*\frac{x-6}{x-3}[/tex]

[tex]=\frac{(x+6)(x-6)}{(x+3)(x-3)}[/tex]

By definition we know that:

[tex](a-b)(a+b)=a^2-b^2[/tex]

Therefore, you get:

[tex]=\frac{x^2-6^2}{x^2-3^2}[/tex]

[tex]=\frac{x^2-36}{x^2-9}}[/tex]

Write the decimals from the least to the greatest on the ladders. Start at the bottom.
8.357, 8.35, 8.361, 8.36
12.310, 12.301, 12.013, 12.130
29
.
Frank Crhoffor Dichlinntinne Inn

Answers

For the first one: 8.35, 8.357, 8.36, 8.361

For the second one: 12.013, 12.130, 12.301, 12.310

From least to greatest

Which quotient is the same as the quotient 4.85÷0.7? 1. 48.5÷7 2. 48.5÷70 3. 485÷0.07 4. 485÷7

Answers

Answer:

1. 48.5÷7

Step-by-step explanation:

4.85÷0.7

We can multiply both terms by 10 without changing the division problem

4.85 * 10 = 48.5

.7 * 10 = 7

48.5 ÷ 7 is the same as 4.85 ÷ .7

How the hell is the answer 6 or -4

One of the answers I get is -6 which is not the right one. Where the heck does that -4 come from

Answers

Answer:

The values of y is -4 and 6

Step-by-step explanation:

Solve by factoring y^2 -2y=24

We need to factorize the term y^2 -2y=24.

Rearranging:

y^2 - 2y -24 =0

For factorizing we need to break the middle term such that their sum is equal to -2y and product is equal to -24y^2

We know, -6y*+4y = 24y^2 and -6y + 4y = -2y

y^2 -6y +4y -24 =0

y(y-6) +4(y-6) = 0

(y+4)(y-6)=0

Now, y+4 =0 and y-6 =0

Finding value of y,

y = -4 and y =6

So, the values of y is -4 and 6

explain solving systems of equations using substition?

Answers

when solving a system of equations the difference between that and elimination is the when you're using the Elimination u have to first multiply the numbers but when substituting it's different unlike the Elimination this is all ik and can u mark me brainliest?

Which of the following nonlinear inequalities is graphed below?

Answers

ANSWER

[tex] \frac{( {x + 3)}^{2} }{16} - \frac{( {y + 4)}^{2} }{36} > 1[/tex]

EXPLANATION

The given non-linear function is a hyperbola with equation:

[tex] \frac{( {x + 3)}^{2} }{16} - \frac{( {y + 4)}^{2} }{36} = 1[/tex]

Since the boundary lines are dashed lines, the inequality should be either < or >.

Since the outer portion is shaded, the inequality is

[tex] \frac{( {x + 3)}^{2} }{16} - \frac{( {y + 4)}^{2} }{36} > 1[/tex]

Is the following relation a function?
Yes
No

Answers

Answer:

NO

Step-by-step explanation:

No, it's not a function

One input has more than one output.

Answer:

No

Step-by-step explanation:

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

From the graph for values of -4 < x < 4 we have two values.

Examples:

for x = 0 we have two values -4 and 4

Given the equation 2X +4/3 Y equals one and Y -9/13 x=9 by what Vector would you multiply the first equation so that combining the two equations would eliminate x
A -9/26
B 9/26
C 1/2
D -9/13

Answers

Answer: Option B

B. [tex]\frac{9}{26}[/tex]

Step-by-step explanation:

We have the following equations:

[tex]2x + \frac{4}{3}y = 1[/tex]       (1)

[tex]y -\frac{9}{13}x=9[/tex]          (2)

Let us call "a" the coefficient of the variable x in the first equation and call "b" the coefficient of the variable x in the second equation.

Then we must multiply the number "a" by a value z such that when adding [tex]az + b[/tex] the result is zero.[tex]a = 2[/tex]

[tex]b = -\frac{9}{13}[/tex]

So

[tex]2z-\frac{9}{13} = 0[/tex]

We solve the equation for z

[tex]2z=\frac{9}{13}[/tex]

[tex]z=\frac{9}{26}[/tex]

The first equation must be multiplied by a value of [tex]\frac{9}{26}[/tex]

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