A rectangular tank of length 22cm, width 9cm and height 16cm is filled with water. The water is poured into a cylindrical container of radius 6cm.Calculate the volume of the rectangular tank

Answers

Answer 1

Answer:

3168 cm³

Step-by-step explanation:

From the question,

The volume of the rectangular tank = Length×width×heigth

V = lwh.................... Equation 1

Where l = length, w = width, h = heigth.

Given: l = 22 cm, w = 9 cm, h = 16 cm

Substitute these values into equation 1

V = 22×9×16

V = 3168 cm³

Hence the volume of the rectangular tank is 3168 cm³


Related Questions

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

A golf group planned a trip to Squaw Valley, and 104 of the members signed up to go. If this is 10% of the group, how many members does the golf group have in total?
Group of answer choices

a 1040 members

b 114 members

c 110 members

d 204 members

Answers

A 1040 is the answer

The ratio of pitchers to catchers at a baseball camp was 11:4. If there were 64 catchers, how many pitchers were at the camp?

Answers

Answer:

There were 176 pitchers at the camp.

Step-by-step explanation:

Given that,

The ratio of pitchers to catchers at a baseball camp was 11:4.

Let pitchers be 11x and catachers be 4x.

Total catchers = 64

4x = 64

x = 16

So,

Pitchers = 11x

= 11(16)

= 176

Hence, there were 176 pitchers at the camp.

please help!!! it’s due at 10:00am

Answers

Answer:

False, True, False

True first one

True second one

False third one

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 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.

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:

It costs $32 per day to rent a medium-sized car, plus $0.25 for each mile driven over 150 miles. The equation that represents this situation is y = 0.25x + 32, where y represents the total cost of renting a car, and x represents the number of miles driven over 150 miles.
a.) What is the slope and what does it represent in the context of this problem?

b.) What is the y- intercept and what does it represent in the context of this problem?

Answers

Answer:

Read explanation

Step-by-step explanation:

A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.

B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.

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

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

Answers

You are correct, 153 in^2.

Identify proportional relationships
At the beginning of the year. Adrian's savings account balance was $28. Each week, he deposits another $15
into that account, and he doesn't spend any of his savings.
Is his savings account balance proportional to the number of weeks since the start of the year?
Choose 1 answer:
Yes
No
Dort byoblem
Stuck? Watch a video or use a hint.

Answers

9514 1404 393

Answer:

  No

Step-by-step explanation:

The initial balance at the beginning of the year is not zero, so the balance is not proportional to the time since the beginning of the year.

__

A proportional relationship always starts at zero when the independent variable is zero.

Los puntajes obtenidos por un grupo de alumnos en un examen de 10 puntos son 3,5,2,6,5,9,5,2,8,6. Para saber el puntaje máximo que obtuvo el 75% de los alumnos se debe calcular el

Answers

Answer:

Para saber el puntaje máximo que obtuvo el 75% de los alumnos se debe calcular el tercer cuartil.

Step-by-step explanation:

Los Cuantiles (cuartiles, deciles, percentiles) son medidas de localización cuya  función es informar del valor de la variable que ocupará la posición (en tanto por  cien) que interese respecto de todo el conjunto de variables.

Los cuartiles son medidas estadísticas de posición que tienen la  propiedad de dividir la serie estadística en cuatro grupos de números iguales de  términos.

El primer cuartil o cuartil inferior es aquel valor de la variable tal que la cuarta parte (25%) de las observaciones son inferiores o iguales a él, y el resto (75%) es superior o igual. El segundo cuartil es la mediana, ya que se trata del valor localizado en la mitad de la distribución. Finalmente, el tercer cuartil o cuartil superior es un valor tal que las tres cuartas partes de las observaciones son inferiores o iguales a él.

En otras palabras, el primer cuartil Q1, es el valor en el cual o por debajo del cual queda aproximadamente un cuarto (25%) de todos los valores de la sucesión (ordenada); El segundo cuartil Q2 es el valor por debajo del cual queda el 50% de los datos (Mediana), el tercer cuartil Q3 es el valor por debajo del cual quedan las tres cuartas partes (75%) de los datos. Es decir, Q1, Q2 y Q3 determinan los valores correspondientes al 25%, al 50% y al 75% de los datos respectivamente. Q2 coincide con la mediana.

Para saber el puntaje máximo que obtuvo el 75% de los alumnos se debe calcular el tercer cuartil.

Is y = 1⁄2(1/4)x growing or decaying

Answers

Answer:

Growth

Step-by-step explanation:

y = 1/8 x

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.

PLS PLS PLS PLS HELP!
Brainliest! Due in 15 mins! Please!

f(1)=−6
f(2)=−4
f(n)=f(n−2)+f(n−1)
f(3)=?

Answers

Answer:

-10

Step-by-step explanation:

(-6)+(-4)

PLEASE HELP ME WITH MATH!!
The question is: Thirteen plus 5 times a number is no more than 30.”

Answers

Let the number be x.

13 + 5x < 30

5x < 30 - 13

5x < 17

x < 17/5

Step-by-step explanation:

let number be x

equation= 13 + 5x =or<30

if 13+5x=30

5x=17

x=3.4

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

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

Just please help me, im trying to cram multiple things at once (house is crazy) and I just cant seem to concentrate and understand these.

Answers

Y=31.2
X=15.6

I rounded both to the nearest tenth place.

Answer:

Step-by-step explanation:

here is how you find the answer

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

now apply the above rules to the given triangle

where we are given the angle of 30°  and the Adj side of 27

y is the Hyp of this triangle and x is the Opp side of this triangle, now plug in the given values  as follows

so use CAH   Cos(30) = 27 / Hyp

Hyp = 27 / Cos(30)

Hyp = 27 / ([tex]\sqrt{3}[/tex] / 2)

Hyp = 27 * 2 /  [tex]\sqrt{3}[/tex]

Hyp = 54 / [tex]\sqrt{3}[/tex]

y = 54 / [tex]\sqrt{3}[/tex]

use SOH, since we know the exact value for the Hyp from above

Sin(30) = Opp / ( 54 / [tex]\sqrt{3}[/tex]  )

Sin(30) * 54 / [tex]\sqrt{3}[/tex]  = Opp

1/2 * 54 / [tex]\sqrt{3}[/tex]  = Opp

27 / [tex]\sqrt{3}[/tex]  = Opp

x = 27 / [tex]\sqrt{3}[/tex]

:)

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°.

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

Find the circumference and area of a circle to the nearest hundredth. Use 3.14 for pie. Round to the nearest hundredth if necessary. The diameter is 52.

Answers

Answer:

Circumference = 163.28 unitsArea = 2,122.64 units²

Step-by-step explanation:

Circumference

Circumference of a circle is calculated by the formula:

= π * diameter

= 3.14 * 52

= 163.28 units

Area

Area of a circle is calculated by the formula:

= π * radius²

Radius = DIameter / 2

= 52 / 2

= 26 units

Area = 3.14 * 26 * 26

= 2,122.64‬ units²

A teacher is planning a class trip to the aquarium. The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, and how many are for students?

Answers

Answer:

75 student tickets and 10 chaperone tickets

Step-by-step explanation:

First find out how many groups there are total by dividing 85 by 1 group total of 17 (15 students 2 chaperones).

85 / 17 = 5

Since you now know there are five groups of 15 students and 2 chaperones all you have to do is multiply 5 time 15 students and 5 times 2 chaperones.

15 x 5 = 75 for students

5 x 2 = 10 for chaperones  

Give two solutions of the inequality: p ≤ 3

Answers

Answer:

3,2

Step-by-step explanation:

3 is equal to 3 which can be it and 2 is less than 3

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

When Josh and Sean were each 5 years old, Josh was 1.5 inches taller than Sean. Josh grew at an average rate of 2.75 inches per year from the time that he was 5 years old until the time he was 13 years old. Josh was 63 inches tall when he was 13 years old. How tall was Sean when he was 5 years old?

A. 39.5 inches
B. 42.5 inches
C. 44.75 inches
D. 47.75 inches

Answers

Step-by-step explanation:

josh is 1.5 inches taller than sean

so, let sean's height be x

sean = x

josh = x + 1.5

each year josh gain 2.75 inches, and now he's 13 so how many year has passed

13 y - 5 y = 8

then how tall he grew

2.75×8=22

x + 1.5+22=63

x=63-22-1.5

x=39.5

9/4y -12 =1/4y-4 solve for y

Answers

y=4Math papa is an app you can use for that type of questions

Answer:y=4

Step-by-step explanation:

Use the percent bar model to find the missing percent.

Answers

The missing percent is 70


7/10 times 10 is 70/100 which is 70 %

An initial investment of $1000 grows at an interest rate of 4% per year. How long will it take that investment to reach $1,500? Assume that you make no further deposits or withdrawals from the investment account. Round to the nearest tenth of a year.

Answers

Answer:

it would take 12.5 or 12 and a half years

Step-by-step explanation:

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