Mariah is replacing the water heater in her home and is considering three different models. One of the things she is comparing is
the volume of the cylindrical storage tank in each water heater. The dimensions of the storage tanks, in inches, are as follows.
• Water Heater X: r= 8.5 and h = 48
• Water Heater Y: r= 9.5 and h = 44
• Water Heater Z: r= 10.5 and h = 32
Which statement is true?
OA. Water heater Y has the storage tank with the greatest volume.
B. Water heater X has the storage tank with the greatest volume.
OC
The storage tanks in all three water heaters have the same volume.
OD
Water heater Z has the storage tank with the greatest volume.

Answers

Answer 1

Answer:

A

Step-by-step explanation:

The volume of a Cylinder is [tex]\pi \\[/tex]*r^2 * h

In this problem I will use 3.14 as pi because it is easier to type

Water Tank X: 8.5*8.5*3.14*48=10,889.52

Water Tank Y: 9.5*9.5 *3.14*44=12,469.94

Water Tank Z: 10.5*10.5*3.14*32=11,077.92

So, A is correct.


Related Questions

The sum of 1/6 and 1/4 is _______

Answers

see the above answer! thanks for reading

A football field measures 100m by 72m . A school marks a football field similar in shape to a full size football field but only 30m long . What is its width ?

Answers

Answer: 240 m

Step-by-step explanation:

Given

Football field measures [tex]100\ m\times 72\ m[/tex]

Another similar field of length

[tex]L=30\ m[/tex]

and width, say W is marked

So, their area must be the same

[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]

The width of the football field is 41.7m

The football measures 100m by 72 m. The school football field is similar.

Similar rectangles

For similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:

100 / w = 72 / 30

cross multiply

3000 = 72w

divide both sides by 72

w = 3000 / 72

w = 41.6666666667

w = 41.7 m

learn more on proportion here: https://brainly.com/question/582443

Will give brainlest
a = 3, k = 12, z = 6, h = 4
Evaluate the algebraic expression
zh

a.

zh
— =
a

Answers

Answer:

8

Step-by-step explanation:

6*4/3=8

Answer:

[tex] \frac{6(4)}{3} \\ = \frac{24}{3} \\ = 8[/tex]

I need help fast!!!!!!

Answers

Answer:

28 Pi

Step-by-step explanation:

circumference = 24(2)(π) = 48π

arc ABC = 360° - 150° = 210°

210/360(48π) = 28 Pi

Please help marking Brainiest

Answers

Answer:

the answer is y=30x

Step-by-step explanation:

however many inches times 30 is the consistent answer to the equation    

Answer:

y=30x

Step-by-step explanation:

We can start out by writing our slope-intercept form equation: y=mx+b. In this case, our y-intercept is 0, so we can write y=mx.

Let's find the slope. We can take the points (1,30) and (2,60). We can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find our slope. Plug these values in, and we get [tex]\frac{60-30}{2-1}[/tex]. Evaluate this, and our slope is 30. So, our equation is y=30x.

Hope this helped!

PLEASE HELP

Once a weck you babysit your neighbor's
toddler after school, usually going to a
local playground. You notice that each
swing on the swing set takes nearly the
same amount of time, about 3.7 seconds
(1). Use the pendulum formula below to
find out how long (ft) the swing is. Round
your answer to the nearest tenths place.

Answers

T/2π = √L/32

3.7 / 2 π = 0.588873289

0.588873289² =  L / 32

0.34677175 = L/32

0.34677175 x 32 = L

L = 11.096696 ft

11.0971

Find the mean of the following set of data: 12, 8, 7, 12, 6

Answers

Answer: 9

Step-by-step explanation:

12 + 8 + 7 + 12 + 6 = 45

There are 5 numbers

45 / 5 = 9

Answer:

mean = 9

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

mean = [tex]\frac{12+8+7+12+6}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9

What inverse operation do you use to solve for m?

11=m - 4

Answers

Answer:

I would use addition

Step-by-step explanation:

Since addition is the opposite of subtraction.

Answer:

Addition

Step-by-step explanation You would use addition because you can cancle out the numbers that way

CAN SOMEONE PLS ANSWER THIS COMPLETE AND CORRECT.

Answers

Step-by-step explanation:

9. 9x+1 + 9x+1 +88 =180

18x = 90

x = 5

please help me ill mark you brainliest and show your work please

Answers

i cant see what it equals but i’m guessing it is 203(correct me if i’m wrong)

5/8(4x-16)=203
5/8 x 4(x-4)=203
5/2 x (x-4)=203
5/2x-10=203
5x-20=406
5x=406+20
5x=426
x=426/5
x=85 1/5

which is none of the options so you’re gonna have to tell me what it equals to so i can give you the right answer.

WILL MARK BRAINLIST!!!!!!!!!

Answers

You are correct, 153 in^2.

HELP ASAP PLEASE!!!

What is the degree measure of ABC given that A=25 & C=135?

Answers

Answer:

m∠ABC = 110°

Step-by-step explanation:

By the property of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles"

m∠BAC + m∠ABC = 135°

25° + m∠ABC = 135°

m∠ABC = 135° - 25°

             = 110°

Therefore, measure of angle ABC is 110°.

What fraction of people vacationed in another state?

Answers

Answer:

3/10 of people vacationed in another state.

Step-by-step explanation:

Because there are 60 people in total, the denominator has to be 60. The numerator then is going to be the amount of people that vacationed in another state. Simplify that fraction by 6, and you will get 3/10 as your answer.

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Since we want a fraction, we find the total number of people who vaccinated, then we find how many people vacationed in another state.

18+10+5+15+12=60, and 18 people vacationed in another state, we get

[tex]\frac{18}{60}[/tex], and we can divide top and bottom by 2, we simplify to [tex]\frac{3}{10}[/tex]

WILL MARK BRAINLIEST IF GOTTEN RIGHT IF YOU GET IT WRONG ON PURPOSE I WILL REPORT YOU

Answers

Answer:

B) cos Z = 15/17

Step-by-step explanation:

cos Z = 30/34 = 15/17

Is y = 1⁄2(1/4)x growing or decaying

Answers

Answer:

Growth

Step-by-step explanation:

y = 1/8 x

Help me with this!!!!

Answers

Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.

A printer is printing photos . For every 8 photos , the printer takes 4 minutes . Complete the table below showing the number of photos and the time it takes to print them. (The table is in the photo)

Answers

Answer:

12 .        18

    7 .             10

Step-by-step explanation:

Redbox rents out both video games and movies. They charge $2 for each video game and
$1 for each movie rented. Last week the total number of rentals was 114 and the machine
made a total of $177. How many movies and games were rented? What are the two
equations we can make? One is about the price, the other is the total rentals.

Answers

Answer:

1x + 2y = 177 (price)

x + y= 114 (rentals)

Step-by-step explanation: x= movies y= video games

Answer:

56

Step-by-step explanation:

add and then multiply

If P is the incenter of triangle JKL, find PJ.

Answers

Answer:

PJ = 41.34

Step-by-step explanation:

P is incenter, three angles bisector meet

∠MJP ≅ ∠OJP

PM = PN = PO = 22   (radius: property of incenter)

∠JPM = 90 - ∠MJP = 90 - OJP = ∠JPO

ΔJPM ≅ ΔJPO   (ASA) or (SAS)

LM = JO

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

PJ = √35²+22² = √1709 = 41.34

The value of PJ in triangle KJL is 41.32 units.

What is incenter?

The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.

Given that, P is incenter of the triangle KJL,

Considering the triangles ΔMJP and ΔOJP

PM = PO (property of incenter)

∠ JMP ≅ ∠ JOP

JP is common segment.

ΔJPM ≅ ΔJPO  (by SAS rule)

JM = JO  (CPCTC)

2x + 3 = 5x - 45

3x = 48

x = 16

JM = 35

Using the Pythagoras theorem,

PJ² = PM²+JM²

PJ = √35²+22² = √1709 = 41.34

Hence, The value of PJ in triangle KJL is 41.32 units.

For more references on incenter, click;

https://brainly.com/question/29480777

#SPJ5

Name two types of angles that are formed when a transversal cuts through parallel lines. HELP!!!

Answers

Answer:

In explanation below l

                                   v

Step-by-step explanation:

When a transversal cuts parallel lines, all of the acute angles formed are congruent, and all of the obtuse angles formed are congruent.  For example, ∠1, ∠4, ∠5, and ∠7 are all acute angles.

Jacie is serving steak and chicken she wants to have at least 20 pounds of meat. Steak is $8 per pound and chicken is $4 per pound . Jacie wants to spend at most 120 dollarss on meat

Answers

Answer:

She can get 10 pounds of steak and 10 pounds of chicken.

Step-by-step explanation:

As Jacie wants to have at least 20 pounds of meat, you can write the following  equation:

x+y=20, where

x refers to the pounds of steak

y refers to the pounds of chicken

Also, since the statement indicate that the steak is $8 per pound and chicken is $4 per pound and Jacie wants to spend at most 120 dollars on meat, you can write the following equation:

8x+4y=120

So, you have the following equations:

x+y=20 (1)

8x+4y=120 (2)

Now, you can solve for x in (1):

x=20-y (3)

Then, you can replace (3) in (2) and solve for y:

8(20-y)+4y=120

160-8y+4y=120

160-120=8y-4y

40=4y

y=40/4

y=10

Finally, you can relace the value of y in (3) to find x:

x=20-y

x=20-10

x=10

According to this, the answer is that she can get 10 pounds of steak and 10 pounds of chicken.

if 100g can make 24 cakes, how much flour is needed to make 48?​

Answers

Answer:

200g

Step-by-step explanation:

24x2=48

100x2=200

4 A shelf at the grocery store
contains 500 packages of corn
and flour tortillas. If 22% of
the packages are flour tortillas,
how many packages
are corn tortillas ?

Answers

Answer:

390

Step-by-step explanation:

500*.22=110

500-110=390

390

Just by looking at the question x + 6 + 2x = 2x + 6 + 4 so what does x equal and why?


I need help fast!

Answers

Answer:

x = 4

Step-by-step explanation:

x + 6 +2x = 2x + 6 + 4

combine like terms:

3x + 6 = 2x + 6 + 4

add numbers:

3x + 6 = 2x + 10

subtract 6 on both sides:

3x + 6 - 6 = 2x + 10 - 6

3x = 2x + 4

subtract 2x from both sides:

3x - 2x = 2x - 2x + 4

x = 4

short explanation:

if you look at the equation, both sides have 6 and 2x which would cancel each other out. That would leave x = 4

$48 was sold at a loss of 10%. The loss was

Answers

Answer:
it was a loss of $4.8

Step-by-step explanation:
48 * 10/100 = 4.8
so the loss is= 48-4.8
=$43.3
He lost $4.8 because if you use the percentage calculator and you put “10 percent of 48” You will get that answe

the answer choices are :

Trinomial

Monomial

Binomial

None of these

Answers

Answer:

Trinomial

Step-by-step explanation:

It has three terms

Answer:

Trinomial

Step-by-step explanation:

there are 3 variable things

Help with this question please.

Answers

The answer is subtract the bottom equation from the top equation because you are solving to find the variable

please help i’ll give brainless

Answers

Answer:

1. 12

2. 31

3. 37

4. 87

Quadrilateral QRST has diagonals that are perpendicular but not congruent. Which type of quadrilateral could describe quadrilateral QRST?

Answers

Answer:

Rhombus

Step-by-step explanation:

This undoubtedly has to be a rhombus. When you look at other quadrilaterals for example and want to judge and or differentiate, we see that in the case of a square, the diagonals are equal to one another and they are not congruent. Same can be applied to that of a rectangle as well, it's diagonals aren't congruent, even if they appear perpendicular.

On the other hand, the diagonals of a rhombus is both perpendicular, and at the same time congruent. And thus, that's our answer

what would be the equation?

Answers

Answer:

y= - 1/2(2)^(x)-2

Step-by-step explanation:

you could check on a graphing calculator

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