An open rectangular cistern when measured from outside is 1.35 metre long 1.08 metre board and 90 cm It is made up of iron which is 2.5 cm find the capacity of the question and the volume of the iron used.​

Answers

Answer 1

Answer:

The capacity of the cistern is [tex]1.2231~m^3[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]

Step-by-step explanation:

Volume

The volume of a rectangular box of dimensions x,y,z is given by:

V = x.y.z

The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:

[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]

The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:

1.35 - 0.025 = 1.325 m

1.08 - 0.025 = 1.055 m

0.90 - 0.025 = 0.875 m

The internal volume is:

[tex]V_i=1.325*1.055*0.875[/tex]

[tex]V_i=1.2231~m^3[/tex]

The capacity of the cistern is 1.2231~m^3

The volume of iron used is the difference between the external and the internal volumes:

[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]

[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]


Related Questions

Please answer this question

Answers

Answer:

5 units right and 3 units up

Step-by-step explanation:

A shift 5 units to the right, and then a shift 3 units up.

k = +3

+k shifts function up; -k shifts function down,so 3 units up

h = -5

x+h shifts function left; x-h shifts function right, so 5 units right

somebody please help me what is 15 / 3 ×7/20​

Answers

Answer:

1.75

Step-by-step explanation:

By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.

Then your equation would be:  5*7/20.

Again, you would just read it left to right, 5*7=35

Then divide by 20, which is 1.75.

what does 28-8 represent?

Answers

Step-by-step explanation:

subtraction if that wut u askim

Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!

Answers

Answer:

4t + 8

Step-by-step explanation:

t + 3t = 4t

4t + 8

Answer:

4t+8

Step-by-step explanation:

If you look at your equation t+8+3t you will notice how you have two t parts

part 1: t

part 2: 3t

Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.

Then you just put your 8 back on to the equation! 4t+8

It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.​

Answers

Answer:

[tex]2x+y\geq 20[/tex]

Step-by-step explanation:

Given that total points required to make the playoffs = 20 points

As there is 2 points for a win,

so points earned for x win = 2x

Similarly, as there is 1 point for a tie.

so points earned for y ties = 1[tex]\times[/tex] y= y

Total points earned for x win and y ties = 2x+y

As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so

[tex]2x+y\geq 20[/tex]

Hence, the required equation is [tex]2x+y\geq 20[/tex].

can someone please help me

Answers

Answer:

a. h(t) = 5t + 10

b. 70

c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.

Step-by-step explanation:

a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:

h(t) = 5t + 10

b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:

h(12) = 5(12) + 10

h(12) = 60 + 10

h(12) = 70

c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.

The slope of the lawn and passing through the points (1,3) and (5,13)

Answers

(13-3)/(5-1)=10/4=5/2

The area of the triangle is 22.4cm^2.
Calculate the length, b, of the longest side of the triangle.

Please help, I will mark first correct answer brainliest.

Answers

Answer:

The longest side length b is approximately 13.172 cm

Step-by-step explanation:

The given parameters are;

The area of the triangle = 22.4 cm²

The given angles of the triangle = ∠97°

The given side of the triangle = 3.7 cm

The formula for the area of a triangle, A = 1/2 × a × b × sin(C)

Where;

a, and b are the side legs forming the angle C

Therefore,  we have;

A = 22.4 = 1/2 × 3.7 × a × sin(97°)

a =  22.4/(1/2 × 3.7 × sin(97°)) ≈ 12.199

a ≈ 12.199 cm

Therefore, by cosine rule, we have;

b² = a² + c² - 2 × a × c × Cos(B)

Substituting the values, gives;

b² = 12.199² + 3.7² - 2 × 12.199 × 3.7 × Cos(97°)

b² ≈ 173.507

∴ b ≈ √173.507 ≈ 13.172

b ≈ 13.172 cm

Which angles are vertical angles?

Answers

I think NOQ POL.................................

The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:

Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.

Based on the graph, what is the initial value of the graph and what does it represent? (1 point)

a
3 miles per minute; it represents the speed of the bird

b
0.2 mile per minute; it represents the speed of the bird

c
0.2 mile; it represents the original distance of the bird from its nest

d
3 miles; it represents the original distance of the bird from its nest

Answers

Answer:

(d).

Step-by-step explanation:

The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest

Answer:

0.2 mile; it represents the original distance of the bird from its nest

Step-by-step explanation:

Find the point that is a solution for y=6x+8

Answers

Answer:

(-8/6, 0) is the answer

first is the absicca and the second is the ordinate

This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?

Answers

Answer:

58

Step-by-step explanation:

Answer:

$58

Step-by-step explanation:

Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?

Answers

Answer:

55

Step-by-step explanation:

If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.


4 ) Here is an explanation that the angle sum of triangle ABC is 180º.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°​

Answers

Answer:

Thank you and please rate me as brainliest as it will help me to level up

What is the value of x in the figure below? In this diagram, ABD ~ CAD. А с B 13 D3 A. 16 B. 208 C. 39 D. 48 E. 13/16 F. 139​

Answers

F. Square root of 39

Step-by-step explanation:

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.

[tex]\bigtriangleup ABD \sim \bigtriangleup CAD[/tex]

[tex]\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }[/tex]

  [tex]\frac{x}{13}=\frac{3}{x}[/tex]

  [tex]x^2=39[/tex]

   [tex]x=\sqrt{39}[/tex] units.

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Find out more information about triangle here:

https://brainly.com/question/2773823?referrer=searchResults

Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?

Answers

Answer:108 degrees

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

24+48= 72

180-72=108

All three angles are different meaning that the triangle must be a scalene triangle.

HELP IM ON GRADPOINT I AM ON A QUIZ IF I CAN ALSO GET THE REST OF THE ANSWERS I WILL MARK BRAINLYEST

Answers

Answer:

top is independent, bottom is dependent

Step-by-step explanation:

top has only 1 answer, bottom has infinite answers

Which expression has a value of 40?
1. 240 divided by 60
2. 2400 divided by 6
3. 2400 divided by 60
4. 2400 divided by 600

Answers

Iffy I igcig ginyyy the killer and white black white green white black black clover black black brown black white white blue red yellow yellow yellow white white red yellow

2400 divided by 60 is equal to 40. The correct option is 3.

To find the expression that has a value of 40, to evaluate each expression:

1.

240 divided by 60:

Divide 240 by 60 is equal to 4.

So, this is incorrect option.

2.

2400 divided by 6:

Divide 2400 by 6 is equal to 400.

So, this is incorrect option.

3.

2400 divided by 60:

Divide 2400 by 60 is equal to 40.

So, this is correct option.

4.

2400 divided by 600:

Divide 2400 by 600 is equal to 4.

So, this is incorrect option.

Hence, out of the four expressions, the third one, 2400 divided by 60, has a value of 40. So the correct answer is 3 (2400 divided by 60).

Learn more about Divided here:

brainly.com/question/15381501

#SPJ6

2,11,20 find the t15

Answers

Answer:

128

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 2 = 20 - 11 = 9

This indicates the sequence is arithmetic with n th term

[tex]t_{n}[/tex] = t₁ + (n - 1)d

where t₁ is the first term and d the common difference

Here t₁ = 2 and d = 9 , thus

t₁₅ = 2 + (14 × 9) = 2 + 126 = 128

What is the greatest common factor of 9 and 12? 3 9 36 108

Answers

Answer:

The GCF would be 3

Step-by-step explanation:

You’re welcome :)

Answer:

1. A

Step-by-step explanation:

3. Three of the following statements are true.
Which one is NOT true?
1-12] > 1
10> -4
120 >1-101
61-3

Answers

Answer:

The correct answer is A or option 1

Does this graph represent a function? Why or why not?
10
10
A. No, because it is not a straight line.
B. Yes, because it passes the horizontal line test.
c. Yes because it passes the vertical line test
D. No, because it fails the vertical line test.

Answers

Answer:

No because it does no pass the vertical line test

Step-by-step explanation:

Evaluate 1/6t+1/12 when t=1/2

Answers

Answer:

1/6

Step-by-step explanation:

You're welcome :)

Help!!! Worth 12 points !!!! I’ll mark brainliest!!!❤️

Answers

Answer:

good handwritting the first is 87

Step-by-step explanation:

What is the slope of the line that passes through the points (5,-11) and (-9,17)?

Answers

Answer:

-2

Step-by-step explanation:

m=y2-y1

    x2-x1

Answer:

-2=slope

Step-by-step explanation:

17--11=28

-9-5= -14

28/-14= -2

Matilda wants to average sales in her café of $1400 per day. During the first 4 days of the week, her sales were $1289, $1498, $1327 and $1510. What does she need her sales for the 5th day of the week to meet her 5-day sales goal?

Answers

Answer

Matilda needs to sell 1376$ worth of coffee

A hungry Emperor penguin was swimming 21 feet below sea level. It swam up 9 feet to eat a fish. What is the position of the penguin now relative to sea level?

Answers

Answer:

Step-by-step explanation:

21 feet below is written as -21

9 feet up is written as +9

So we have -21 + 9 = -12 or 12 feet below sea level

Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money?

Answers

Answer:

time in years = 2.5 years

Step-by-step explanation:

time = interest / (principal amount x rate)

time = 750 / 5000 x 0.06

time = 750 / 300

time = 2.5 years

help me plz asap now I just need answer question in pic

Answers

I was just about to ask this question

Step-by-step explanation:

Im on this question rn, i need help to :(

Answer:  just guess :)

Step-by-step explanation:

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