The whole cake is 9 cm high and 20 cm across. Each layer of cake is 2cm thick, and each layer is separated by 1 cm of frosting.

1. What is the total volume of the entire cake (including the missing piece)?

2. What is the volume of one layer of frosting (including the missing piece)?

3. What is the volume of all three layers of frosting? (including the missing piece)?

4. What is the volume of one layer of plain cake (without frosting) (including the missing piece)?

5. What is the volume of all three layers of plain cake, without the frosting (including the missing piece)?

Answers

Answer 1

Answer:

PO

Step-by-step explanation:


Related Questions

Help asap for my sister

Answers

Answer:

A: 8.4

Step-by-step explanation:

Order of operations: BEDMAS. Brackets, exponents, division, multiplication, addition, and substraction.

Using this you need to do 2(1.2) first.

2(1.2)=2.4

Then 4.5-2.4=2.1

Then finally 4(2.1)=8.4

Hope that helps

please give brainliest

Answer:

pretty sure it's 8.4 don't come at me if it's not

Step-by-step explanation:

-2(2.1) = -2.4

4(4.5-2.4) = 4(2.1)

4(2.1) = 8.4

dan deposits 6,000$ into an account that pays simple interest at a rate of 6% per year . how much interest will he be paid in the first 6 years

Answers

Answer:

6,000+6%=6,360

Total in 6 years: 2,160

A town has a population of 72,700 and grows at a rate of 3.5% every year. Which equation represents the town’s population after 4 years?

Answers

Answer:

for 4 years: [tex]72,700 + 1.035^4(72,700)[/tex]

For n years: [tex]72,700 + 1.035^n(72,700)[/tex]

Step-by-step explanation:

Since each year the growth rate is 3.5 of the last year, n will represent the number of years.

[tex]72,700 + 1.035^n(72,700)[/tex]

Therefore since n is 4, the equation will be:

[tex]72,700 + 1.035^4(72,700) =72,700 + 1.15(72,700)[/tex]

Therefore this equation represents the town after four years.

Answer:

P=72,700(1+0.035)(1+0.035)(1+0.035)(1+0.035)

Step-by-step explanation:

Evaluate the expression for x = -4, y = -2, and z = -3.
x(y+z)

Answers

-2+-3=-5x-4=20 that is the answer you do the () first then multiply by the outside number

1) Find the length of AC in the shape pictured below​

Answers

Answer:

[tex]\sqrt{117}[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem by cutting rectangle ABCD diagonally.

6^2+9^2=(AC)^2

117=(AC)^2

So the length of AC is [tex]\sqrt{117}[/tex]

Instructions: Find the measure of the indicated angle.

Answers

Answer:

x = 66

Step-by-step explanation:

the triangle has 2 congruent sides and is therefore isosceles with the 2 base angles being congruent, then

x = 66

The measure of the indicated angle is 66 degree.

What is Isosceles Triangle ?

An isosceles triangle has two equal sides regardless of the direction the apex (or peak) of the triangle points. Some useful information regarding isosceles triangles is as follows:

It has two parallel sides.It has two equal angles, which are known as the basis angles.A right isosceles triangle is one in which the third angle is 90 degrees.

We have a Triangle.

Then, using Isosceles Triangle Theorem

Angles opposite an isosceles triangle's equal sides are also equal.

According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite the congruent sides are likewise congruent.

So, x= 66 degree.

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An electric guitar costs $830, with a $225 full-replacement warranty. if the manufacturer sells 532,475 warranties and has to honor 12% of them, how much profit did the manufacturer gain from the warranties? a. $105,430,050 b. $66,772,365 c. $53,034,510 d. $508,726,615

Answers

The profit which the manufacturer gained from the warranties is a. $105,430,050

Calculations and Parameters:

Given that count 12% of 532,475:

532,475 - 100%

x - 12%

x= 63, 897.

This means that 63, 897 guitars were sold with a full-replacement warranty and 532,475-63,897=468,578 electric guitars were sold without a full-replacement warranty.

Hence, to find the gain of the manufacturer, $225·468,578

=$105,430,050 from the warranties.

Option A is correct: $105,430,050

Read more about profit and loss here:
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Answer:

b.

$66,772,365

Step-by-step explanation:

100% on EDGE

HELP MY COMPUTER IS ABOUT TO DIE! I ONLY GOT 1 MIN!!

Nora has a coupon for $3 off of a calzone. She orders a beef and olive calzone, and her bill, with the discounted price, is $9.49. Which of the following equations can be used to find the regular price of the calzone?

c + 3 = 9.49
9.49 - c = 3
c + 9.49 = 3
c - 3 = 9.49

Answers

Answer:

Step-by-step explanation:

c - 3 = 9.49

c-3=9.49
This 3 value represents the discount, with c being the unknown. The original unknown value - the discount of 3 equals the given discounted price or 9.49

Multiply the complex numbers: (3 + 2i)(5 – 2i)

Answers

Answer:

19+4i

Step-by-step explanation:

Multiply using the FOIL method, then combine the real and imaginary parts of the expression.

FOIL

A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.

Result of multiplication of complex numbers will be 19 + 4i

Given,

(3 + 2i)(5 – 2i)

Here,

Complex numbers standard form : x ± iy

Here,

x = real part

y = complex part.

i = iota = [tex]\sqrt{-1}[/tex]

So,

Multiplication :  (3 + 2i)(5 – 2i)

⇒15 -6i + 10i -4i²

Here,

i = √-1

i² = -1

So,

15 -6i + 10i -4i²

15 -6i + 10i - 4(-1)

⇒19 + 4i

Know more about complex numbers,

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Please Help fast! (not rushing ya'll and, this is not high school math)

Answers

Answer:

this

Step-by-step explanation:

doesn't need any explanation

Answer:

It should be that since the -1 3/4 is negative and 4 1/2 is positive.

on the high attempts the picture was cut off and the last one is 98 in the picture​

Answers

Answer:

Below in bold.

Step-by-step explanation:

Mean = (98+92+90+78+83+88+95)/7

= 89.1   to nearest tenth.

Deviations:

98 - 89.1 = 8.9

92 - 89.1 = 2.9

90 - 89.1 = 0.9

78 - 89.1 = -11.1 = 11.1  (absolute value)

83 - 89.1 =  6.1

88-89.1 = 1.1

95 - 89.1 = 5.9

So the MAD

= (8.9+2.9+0.9+11.1+6.1+1.1+5.9)/7

= 36.9/7

= 5.27

= 5.3 to nearest tenth.

Louis bought a giant sub sandwich for the party. He wants to cut into 6-inch sections. If the sandwich is 18.25 feet, how many sections can he cut? Solve with steps pls<3

Answers

in your calculator, type in 18.25/6.

solve the equation using square root method, show work

Answers

Answer:

Step-by-step explanation:

2(x+7)^2 =98  

(x+7)^2 = 49  (divide both sides by 2)

(x +7) = [tex]\sqrt{49}[/tex]  (square root both sides)

x + 7 = 7  ( we are not sure if this is  -7 or  +7, because either would work )

so we have two solutions now

x +7 = -7     or      x +7 = 7

x = -7 -7      or      x =7 -7    (subtract 7 from both sides)

x = - 14        or      x = 0  


Liam sells artwork for $135.00 per piece. Determine how many pieces of art Liam needs to sell to break even if the variable cost per piece of art is $21.45 and the fixed expenses are $35,654.70 per year.
a.113
b.215
c.301
d.314

Answers

Answer:

D. 314

Step-by-step explanation:

135.00 - 21.45 = 113.55

35,654.70 / 113.55 = 314

Work out
26 ÷ (-7-12 ÷ 2)

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Q) 26 ÷ {(-7)-(12 ÷ 2)} = ?

→ 26 ÷ {(-7)-(12 ÷ 2)}

→ 26 ÷ {-7-6}

→ 26 ÷ -13

→ -2 is the final answer.

Describe the pattern in the sequence. Find the next two terms of the difference. Show work
-2, -5, -8, -11, ...

Answers

Answer:

-2, -5, -8, -11, ... -14, -17

Step-by-step explanation:

-3 each time.

Cheri took out a loan for $14,350. the loan term was 3 years and cheri’s payments were $625.77 per month. since cheri had filed for bankruptcy several years prior, she ended up paying a higher interest rate. with a better credit rating, her payments could have been $431.21 per month. how much more in interest did cheri end up paying for her loan because of her bankruptcy? a. $5,836.80 b. $2,334.72 c. $8,624.16 d. $7,004.16 please select the best answer from the choices provided a b c d

Answers

Option D she ends up paying $7004.16 due to her bankruptcy

help brainiest if right

Answers

Answer:

h = 15 ft

Step-by-step explanation:

the line from the vertex to the base is a perpendicular bisector.

then the radius r = 16 ÷ 2 = 8

using Pythagoras' identity in the right triangle formed

with hypotenuse = 17 and legs h and 8 , then

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take square root of both sides )

h = [tex]\sqrt{225}[/tex] = 15

Mandy drove 206 miles from Newcastle to Birmingham and stayed overnight at a
hotel costing £45. She then travelled 117 miles to London and stopped in another
hotel costing £68. From London, she drove 282 miles back to Newcastle. How many
miles in total did she drive, and what was the total cost of her accommodation?

Answers

Answer:

£113 and 603 miles.

Step-by-step explanation:

206 + 117 + 282 = 605 miles

45 + 68 = £113

£113 and 605 miles.

A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel?

Answers

Answer: 230.4 feet

Step-by-step explanation:

arc length = circumfrance x fraction of a circle

                 = [tex]2\pi r[/tex] x [tex]\frac{165}{360}[/tex]

                 = [tex]\frac{2*\pi *80*165 }{360}[/tex]

                 = 230.4 feet to nearest tenth

The length of the intercepted arc between those two cars on the Ferris wheel is 230.4 feet. This is obtained by using the arc length formula in degrees.

Arc length:

The distance across the curved length is said to be arc length.

The arc length is calculated by using the formula:

arc length = circumference × fraction of circle

⇒ arc length = 2πr × θ/360° when θ is given in degrees

where r is the radius.

Given data:

Given that,

A Ferris wheel has a radius of r=80 feet

Two particular cars are located such that the central angle between them is 165° i.e., θ = 165°

Calculating the length of the arc:

arc length = 2πr × θ/360°

⇒ 2π×80×[tex]\frac{165}{360}[/tex]

⇒ 230.38 feet

Rounding off to the nearest tenth, we get arc length = 230.4 feet.

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50 POINTS EACH!
On a 23 question test, I got 6 wrong. What is percent did I get right? (On 100 percent scale)

Answers

Answer:

26%

Step-by-step explanation:

To calculate the percentage score which you got right in your test,

Number of questions wrong/TOTAL number of questions * 100

6/23 * 100

= 26%.

Answer:

26%

Step-by-step explanation:

Hope I was able to help. Have an amazing day.

BTW- your profile pic is super adorable! :)

Simplify the expression.
2x³y +7x³y-xy³

Answers

Answer:

xy*(2x^2 + 7x^2 - y^2)

Step-by-step explanation:

You can get xy out of the expression since all have xy

Please help me this is do today

Answers

Answer:

A. 9y + 3 = 0

Step-by-step explanation:

To know if a function is linear without graphing it, check if the function is a polynomial of the first degree, because linear functions are polynomials of the first degree. This means that the power of the x-value should be equal to 1.

The only function without this trait is 9y + 3 = 0, so that is our nonlinear function.

hope this helps :)

Gabrielle and Rob each earn $22 an hour, and each works 40 hours this week. Rob spends 1/2 of his earnings this week on bills and then buys a video game for $25. 75. How much of his earnings fro

Answers

The amount spent is an illustration of subtraction and proportions

The amount left in his earnings is $414.25

How to determine the amount left in his earnings?

The given parameters are:

Rate = $22 per hour

Time = 40 hours

So, the total earnings is:

Total = $22 * 40

Evaluate

Total = $880

He spent half on bills.

So, we have:

Bills = 0.5 * $880

Bills = $440

He buys a video game for $25.75

So, the amount left is

Amount left = $880 - $440 - $25.75

Amount left = $414.25

Hence, the amount left in his earnings is $414.25

Read more about proportions at:

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What is the slope of the line shown above?

Answers

Answer:

1/4

Step-by-step explanation:

we can take two points on the line: (0,2) and (4,3)

to find slope:(2-3)/(0-4)

1/4

Find the volume of the spear. Give your answer to the nearest cubic unit. 5mm

Answers

Answer:

[tex]b.\:\: 524 \: {mm}^{3} [/tex]

Step-by-step explanation:

[tex]V_{sphere} = \frac{4}{3} \pi \: {r}^{3} \\ \\ = \frac{4}{3} (3.1416) \: {(5)}^{3} \\ \\ = 523.6 \\ \\ \implies \: V_{sphere} \approx 524 \: {mm}^{3} [/tex]

What was the median temperature of the pond?

Answers

Answer:

70°f is the median temperature of the pond

The answer is 70 hope this helps

Find the surface area of this prism.

Answers

Answer:

252

Step-by-step explanation:

3*9 = 27

3*9 = 27

3*9 = 27

3*9 = 27

9*6 = 54

9*6 = 54

3*6 = 18

3*6 = 18

Add them all up

5b+ 11 = 26
Can you help me solve this equation

Answers

Answer:

b=3

Step-by-step explanation:

i subtracted 11 with the 26 and got 15 and then I divided the 5b with the 15 and got 3

Hope i helps<33

Answer:

b=3

Step-by-step explanation:

move the constant to the right-hand side and change its sign 5b = 26 - 11

subtract the numbers 5b = 15

divide both sides of the equation by 5 b = 3

What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
x2+134=−2x−14

Answers

ok this took a while But ...The first term is,  x2  its coefficient is  1 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  +148

Step-1 : Multiply the coefficient of the first term by the constant   1 • 148 = 148

Step-2 : Find two factors of  148  whose sum equals the coefficient of the middle term, which is   2 .

pls let me be right

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