A certain bakery sells two sizes of round cakes. The radius of the large cake is 3 times the radius of the small cake. If the top of the large cake has an area of 261 in?, what is the area of the top of the small cake?​

Answers

Answer 1
Let R be the radius of the large cake.
R x R x π = 261
R² = 83.078
R = 9.11

Small cake radius = 9.11/3
small cake radius = 3.038

Area of small cake = 3.038 x 3.038 x π
Area of small cake = 29 in²

Related Questions

Pattie buys a handbag that costs 240 dollars and a scarf that costs 86 dollars. If sales tax is 7%, what is the total purchase price including tax?

Answers

Answer:

$348.82

Step-by-step explanation:

240 +86=326

326× 7%= 22.82

326+22.82= $348.82

Answer:

$348.82

Step-by-step explanation:

A triangle has sides that measure 9, 22, and 20. Is the triangle a right triangle?

Answers

Answer:

no

Step-by-step explanation:

Chase invested $39,000 in an account paying an interest rate of 3.2% compounded
daily. Assuming no deposits or withdrawals are made, how long would it take, to the
nearest tenth of a year, for the value of the account to reach $66,100?

Answers

Answer:

16.5

Step-by-step explanation:

It takes 0.05 years account to reach $66,100

What Is an Interest Rate?

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned. The interest rate on a loan is typically noted on an annual basis known as the annual percentage rate (APR).

According to the question, we have

Principal = 39000

Interest rate = 3.2%

The investment compounds daily.

So we can get F = [tex]39000(1+0.032)^{x}[/tex]

When F = 66100

[tex]66100=39000(1+0.032)^{x}[/tex]

⇒ [tex]\frac{66100}{39000}=(1+0.032)^{x}[/tex]

⇒ [tex]1.69=(1.032)^{x}[/tex]

⇒ [tex]x = log 1.69_{1.032}[/tex]

⇒ [tex]x = \frac{log1.69}{log1.032}[/tex]

⇒ x = 17 days

It takes 17 days account to reach $66,100

Converting days into years

= [tex]\frac{17}{365}[/tex]

= 0.045

= 0.05 (nearest tenth of a year)

Hence, It takes 0.05 years account to reach $66,100.

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55% of what number is 33%?

Answers

Answer:

33% is 55% of 0.6

Step-by-step explanation:

yUH

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°

What is the value of x?

Answers

Answer:

Is it x = 85

196 +2x+(3x-6)

subtract 196 on both sides

simplify

add 6 on both sides

divide by 2

7 2/9 - 5 5/7= [?] [?]/[?]​

Answers

Answer:

MARK BRAINLIEST OwO

True or False. Shapes that have at least one right angle also have at least one pair of perpendicular lines. Explain your thinking.

Answers

Answer:

True

Step-by-step explanation:

In geometry, the property of being perpendicular is the relationship between two lines which meet at a right angle.

Please help ;-;

Jaxon measured a line to be 5.7 inches long. If the actual length of the line is 5.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?​

Answers

Answer:

7.5

Step-by-step explanation:

Percent Error =  

Vobserved - Vtrue

Vtrue

=  

5.7 - 5.3

5.3

=  

0.4

5.3

=  7.5471698113208%

Answer:7.5

Step-by-step explanation:

Find the value of Y

Help plz whenever you can :D

Answers

Answer:

siny=xz/yz

sin45=y/15√2

15√2×1/√2=y

y=15

PLEASE HELP ME I NEED TO DO THIS

Answers

Answer: x = 20

Step-by-step explanation:

3x + 20 = 4x

20 = x

I could really use help on this, thanks frineds.

Answers

Answer:

awnser is 3 i think srry if im wrong

Step-by-step explanation:

Answer:4

Step-by-step explanation:

Kim drew a map of the Mississippi river the scale was 5 centimetres represents 120 miles the actual length of the Mississippi river is 2,320 miles approximately what is the length in centimeters of the Mississippi river on the map
A-19cm B-11,600cm
C-97cm D-600

Answers

Answer:

Step-by-step explanation:

2320mi(5cm/120mi)=96.66cm

So the length is rounded to 97cm

Jorge has 24 ounces of baking powder to use for baking loaves of bread. if each loaf of bread requires 1/4 of an ounce of baking powder, how many loaves of bread will Jorge be able to bake?

Answers

Answer:

96 loaves of bread

Step-by-step explanation:

Total baking powder = 24 ounces

Baking powder used per loaf of bread = 1/4 of an ounce

loaves of bread will Jorge be able to bake = Total baking powder / Baking powder used per loaf of bread

= 24 ÷ 1/4

= 24 × 4/1

= 96 loaves of bread

loaves of bread will Jorge be able to bake = 96 loaves of bread

4y-4x=28 in slope-intercept form

Answers

Y=7+x



4y-4x=28

Add 4x to both sides

4y=28+4x

Divide by 4

Y=7+x

Answer:

y=x+7

Step-by-step explanation:

3 3/4 yd = how many feet please help it has to be a fraction

Answers

Eleven and two inches is the conversion. As a fraction, the answer would be 11 2/12

Hope this Helps!

Express the shaded area as a fraction, a decimal, and a percent of the whole.

Answers

1/2 = fraction. 1.2= decimal 12%= percent

Answer:

1/2

0.5

50%

Step-by-step explanation:

The square  is spilt into 2 equal pieces, one out of the 2 is shaded therefore 1/2 is shaded. The decimal to represent the shaded area would be 0.5, as 1 times 1/2 = 0.5. As a percent the shaded area represents 50% as 1/2 times 100 (per cent = per hundred) is equivalent to 50.

I hope this helps :0).

Henry places £6000 in an account which pays 4.6% compound interest each year
Calculate the amount in his amount after 2 years

Answers

Answer:

£ 6,564.70

Step-by-step explanation:

Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his amount after 2 years

Compound Interest formula =

A = P(1 + r/n)^nt

A = Final Amounrt

P = Principal = £6,000

r = Interest rate = 4.6%

t = Time in years = 2 years

n = Compounding frequency = Yearly = 1

First, convert R percent to r a decimal

r = R/100

r = 4.6%/100

r = 0.046 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 6,000.00(1 + 0.046/1)^(1×2)

A = £ 6,564.70

The amount in his account after 2 years = £ 6,564.70

Find the value of each variable. Write answers in simplest radical form.

Answers

Answer:

1) x = 5

2) y = 5·√2

Step-by-step explanation:

1) The given parameter of the right triangle are;

The legs of the right triangle = 'x', and 5

One interior angle of the right triangle = 45°

Therefore, buy the interior angle summation property of a right triangle, we have;

The measure of the other angle, θ = 180° - 90° - 45° = 45°

From which we have;

A right triangle with an interior angle of 45° is an isosceles triangle with both legs equal

∴ The length of the other leg, x = 5

x = 5

2) By Pythagoras's theorem, we have that the square of the length of the hypotenuse, 'y', is given as follows;

y² = x² + 5²

∴ y² = 5² + 5²

y = √(5² + 5²) = √(25 + 25) = √50 = √(25 ×2) = 5·√2

y = 5·√2 in the simplest radical form.

HELP!!

If we changed the -3 to a 3 in the equation, what would happen to the graph?

Answers

Answer:

It would change the y-intercept, so if it turned into a 3, the slope would just go higher at the beginning.

Step-by-step explanation:

Hope it helps!

The graph of the new equation y = 2ˣ⁻⁴ + 3 will have the same shape as the original graph, but it will be shifted 4 units to the right and 3 units up.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The equation y = 2ˣ⁻⁴ - 3 is an exponential function that has been shifted 4 units to the right and 3 units down from the basic exponential function y = 2ˣ.

If we change the -3 to a 3, we get the new equation:

y = 2ˣ⁻⁴ + 3

This new equation represents the original exponential function shifted 4 units to the right and 3 units up.

Therefore, the graph of the new equation y = 2ˣ⁻⁴ + 3 will have the same shape as the original graph, but it will be shifted 4 units to the right and 3 units up.

To learn more on Graph click:

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help pls no rip me off for points

Answers

Answer:

B.

Step-by-step explanation:

4*s = 4s

4*3 = 12

Use the property of distribution

hope this helps :)

Answer: 4 (s + 3)

Step-by-step explanation:

can you please help me??

Answers

V = l • w • h.

V= 14 1/2 • 6 1/2 • 5

V = 471. 25 inches

Not asking a question, but i just wanted to thank every single one of you answering questions, you've helped me so much.

Answers

Answer:

I know that many people have helped u and I appreciate that you are thanking them.

Step-by-step explanation: Happy early Valentine’s Day!

Answer:

yw

Step-by-step explanation:

I need these answers now please !! ​

Answers

Wish I could help maybe this will boost the post

Which of the following options have the same value as 25%, percent of 64?
Choose 2 answers:

(Choice A)
A
25 6425⋅6425, dot, 64

(Choice B)
B
\dfrac{25}{100}\cdot 64
100
25

⋅64start fraction, 25, divided by, 100, end fraction, dot, 64

(Choice C)
C
0.25\cdot 640.25⋅640, point, 25, dot, 64

(Choice D)
D
64\div \dfrac{25}{100}64÷
100
25

64, divided by, start fraction, 25, divided by, 100, end fraction

(Choice E)
E
25\div \dfrac{64}{100}25÷
100
64

Answers

Answer: 96/100⋅25 and 0.96⋅25

Step-by-step explanation: i did it on khan academy :D

Answer:

choice A

choice c

Step-by-step explanation:

I need help with my math assignment ​

Answers

Answer:

y = 3x + 11

Step-by-step explanation:

obviously since y is 11 when x is zero the constant term is 11.

Then use the other coordinates to find the cooefficent of x.

-4= c × -5 + 11

-4= -5c + 11

5c=15, c=3

Therefore the equation should be:

y= 3x + 11

Math club has 18 members. Each member pays
$16.40 each month. 11 members have already
paid. How much money needs to be collected?

Answers

Answer:

$114.80

Step by step explanation

PLEASEE I WANNA PASS PLEASE HELP!!!!
Which of the following functions represents f(n), the number of small squares in figure n?

A. f(n) = (n + 1)^2 – 1

B. f(n) = 2n^2 + 1

C. f(n) = n^2 – 1

D. f(n) = (n + 1)^2 + 1

Answers

I think it is b I’m not sure

Answer: i think its D or A....  :)

Step-by-step explanation:

Henry can write 5 pages of his novel in 3 hours.
at
At this rate, how many pages can Henry write in 8 hours?


Answers

Answer:

Henry can write 13 pages in 8 hours.

Step-by-step explanation:

Rate: 5 pages in 3 hours (5/3 pages per hour)

To obtain the quantity of pages in 8 hours, we have to multiply the rate per hour by 8.

5/3 x 8 = 40/3= 13.34

Rounded to the nearest number, Henry can write 13 pages in 8 hours.

Answer:

10 and 2/3 a page

Step-by-step explanation:

What is the solution to the equation 2(x+7)=-4x+14

Answers

Answer:

x = 0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x+7)=−4x+14

(2)(x)+(2)(7)=−4x+14(Distribute)

2x+14=−4x+14

Step 2: Add 4x to both sides.

2x+14+4x=−4x+14+4x

6x+14=14

Step 3: Subtract 14 from both sides.

6x+14−14=14−14

6x=0

Step 4: Divide both sides by 6.

6x  0

6  = 6

x=0

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the
exponential equation?

Answers

Sorry for tje late answer but it is 150 * 0.08^x

The exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].

What is depreciation?

Depreciation is the rate by which the value of an object reduces with respect to time. it is given by the formula,

[tex]A = P(1-\dfrac{r}{100})^t[/tex]

where A is the value of object after t period of time, P is the principal amount, r is the rate of depreciation, and t is the time period.

We know the formula of the depreciation, Also, the initial value of the car is $15,000, and the rate of depreciation r that is 8% per year. Therefore, the function of the depreciation of the car can be written as,

[tex]A = P(1-\dfrac{r}{100})^t\\\\A = 15000(1-\dfrac{8}{100})^t\\\\A = 15000(1.08)^t[/tex]

Hence,  the exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].

Learn more about Depreciation:

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