Reasoning A cylindrical water tank holds 26 litres when full. The water tank is 36 cm tall.
Work out the radius of the tank to 2 d.p.
(4 marks)

Answers

Answer 1

Answer:

r = 15.16 cm

Step-by-step explanation:

Mathematically, we need a consistent unit

26 liters = 26,000 cm^3 as 1000 cm^3 = 1 L

The volume of a cylinder is;

V = pi * r^2 * h

26,000 = 3.142 * r^2 * 36

r^2 = 26,000/(3.142 * 36)

r^2 = 229.86

r = √229.86

r = 15.16 cm


Related Questions

Find the values of x and y so that ABCD will be a parallelogram.
24°
(y – 10°
32°
(4x)
x = 20, y = 42
x = 6, y = 22
Ox=6, y = 42
x = 20, y = 22

Answers

Given:

Figure of a parallelogram.

To find:

The values of x and y.

Solution:

If two parallel lines intersected by a transversal line, then the alternate interior angles are congruent.

[tex]4x=24[/tex]            (Alternate interior angles)

[tex]x=\dfrac{24}{4}[/tex]

[tex]x=6[/tex]

And,

[tex]y-10=32[/tex]            (Alternate interior angles)

[tex]y=32+10[/tex]

[tex]y=42[/tex]

The value of x is 6 and the value of y is 42.

Therefore, the correct option is C.

Does anybody know the answer to this I just need to finish the homework assignment to work on other stuff lol

Answers

Answer: C

Step-by-step explanation:

Kevin bought a used guitar at a garage sale
for $150. He fixed it up and sold it for
$200. What was the approximate percent of
increase?

Answers

Answer:

34%

Step-by-step explanation:

Answer

33.3%

Step-by-step explanation

Find the length of the hypotenuse, c in this triangle

Answers

C=5

4^2+3^2=C^2
16+9=C^2
25=C^2
Find the square root of 25 and C^2
5=C

Answer:

c = 5cm

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 3^2 = c^2

16 + 9 = c^2

25 = c^2

do the square root of 25 and c to solve for c

the square root of c^2 is c

therefore, c= 5cm

Write the equation of a vertical line running through the point (-2,-10)

Answers

Answer:

The equation of a vertical line is  x = -2

Step-by-step explanation:

Explanation:-

The equation of a vertical line is  x = a

The graph of a vertical line is take values only 'x'

Given that the point is (-2,-10)

The equation of a vertical line is  x = -2

A field is in the shape of a rectangle 5/6 mile long and 3/4 mile wide. What is the area of the field?

Answers

Answer: 15/24
Step-by-step explanation: 6x4=24 which is the denominator and 5x3=15 which is the numerator

i have no clue how to solve this can someone help?

Answers

Answer:26

Step-by-step explanation:

Solve the system of linear equations by using the elimination method:
4x+ y = 36
8x- y = 60

Answers

Answer:

(8,4)

Step-by-step explanation:

y and -y cancels out leaving you with "12x=96"

that simplifies to "x=8"

Then you substitute 8 into the "x" from either equation and y should equal 4

Is (5,1) a solution to the equation y=5x

Answers

Answer:

Are this form1 question

Two important ingredients for baking bread are yeast and flour. To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200. If you're making a loaf of more than 30 servings, use a ratio of 1:180. If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need?

Answers

If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? ANSWER=90

If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need? ANSWER=4

The flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Given to us

To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200.

To make a loaf of bread of more than 30 servings, maintain a yeast to flour ratio of 1:180.

Ratio for 30 Servings

A.)  If We are making 30 servings of bread and using 0.45 oz of yeast,

As it is given that for 30 servings we must maintain a yeast to flour ratio of 1:200, therefore,

[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{200}[/tex]

Using the ratio for 0.45 oz of yeast,

[tex]\rm \dfrac{0.45\ oz}{Flour} = \dfrac{1}{200}[/tex]

[tex]\rm {Flour} = 200 \times 0.45\ oz[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Ratio for 90 Servings

B.)  If We are making 90 servings of bread and using 720 oz of flour,

As it is given that for more than 30 servings we must maintain a yeast to flour ratio of 1:180, therefore,

[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{180}[/tex]

Using the ratio for 720 oz of flour,

[tex]\rm \dfrac{Yeast}{720\ oz} = \dfrac{1}{180}[/tex]

[tex]\rm {Yeast} = \dfrac{720\ oz}{180}[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Hence, the flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Learn more about Ratio:

https://brainly.com/question/1504221

(5, 2);
2x +y= 12
—3y - х = -11
I’m confused help !

Answers

Answer:

so (5;2) belongs to these equaliations

Step-by-step explanation:

(5;2) is the same as (x;y)

so u just plug in your numbers

—3y - х = -11

-3*2-5=-11

-6-5=-11

-11=-11

2x +y= 12

2*5+2=12

12=12

Name the side opposite each angle.

Answers

Answer:

Angle A=Side MT

Angle M=Side AT

Angle T=Side AM

Step-by-step explanation:

please help answer math​

Answers

Answer= top one



Good luck
X = 2, y = 11 ; 2, 16

Explain you answer plsss! What is K? 2k-3(4-k)=3k+4!!!! I will give a lot of pointssss!

Answers

Answer:

k=8

Step-by-step explanation:

First step: 2k-3(4-k)=3k+4

Second Step: 2k-12+3k=3k+4

Third Step: 2k-12=4

Fourth Step: 2k=4+12

Fifth Step: 2k=16

Sixth Step: 2k/2 = 16/2

Answer: k=8

Answer:

K=8

Step-by-step explanation:

2k-3(4-k)=3k+4

2k-12+3k=3k+4

2k-12=4

2k=4+12

2k=16

k=8

Equation:
Question Blank
type your answer...
x +
Question Blank
type your answer...
= 180 Angle B =
Question Blank
type your answer...
degrees Angle A =
Question Blank
type your answer...
degrees

Answers

Answer:

x = 41; B = 41°; A = 77°

Step-by-step explanation:

All of the angles add up to 180 so to solve for X you do (x) + (2x-5) + (62) = 180. Solve for X and you get 41. Lastly plut the answer back into the equation.

find wx? please help

Answers

Answer:

wx = 116 /11

= 10.54

Step-by-step explanation:

plz follow me

Answer: 29

see in the picture, WX is the median of the trapezoid

=> WX = (ST + UV)/2

⇔ 7x + 8 = (10x + 5 + 8x - 1)/2

⇔ 7x + 8 = (18x + 4)/2

⇔ 7x + 8 = 9x + 2

⇔ 2x = 6

⇔ x = 3

with x = 3 => WX = 7.3 + 8 = 21 + 8 = 29

Step-by-step explanation:

What is the Range

13,23,34,6,13,10,26,28,20,17​

Answers

Answer:

28

Step-by-step explanation:

34 − 6 = 28

Fred and Stacey both have books to read over the summer. Fred has read 42 pages and Stacey has read 49 pages. What is the ratio of the number of pages Stacey has read to the number of pages Fred has read?
A. 7:6
B. 1:42
C. 6:7
D. 42:1

Answers

B. 6:7. You must divide the same number on both sides.
answer is A) 7:6
Stacey-49
Fred-42
ratio is Stacey to Fred, so 49/42
49/42 = 7/6

Please help
In CDE, the measure of ZE=90°, DC = 37, ED = 35, and CE = 12. What is the value
of the sine of D to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

Answer:

0.3243

Step-by-step explanation:

which number line correctly grass the numbers in the list. -6,4,-1,0,5

Answers

the first one!! has all numbers marked

Which statement is true?
A. All rational numbers are integers
B. All whole numbers are integers
C. All integers are whole numbers
D. None of the above​

Answers

Answer:

B. All whole numbers are integers

Step-by-step explanation:

A car travels 76km in
47 minutes. What is
Its average speed in
km/h? Give your answer
rounded to 1 decimal
place

Answers

Answer:

V = s/t

S = 76 , t = 47 minutes

V  = (76/47 ) 60 = 97 km/h

Step-by-step explanation:

need help with ASAP!

Answers

Answer: 8y^6x^6

Step-by-step explanation:

Volume = l*w*h so multiply all the variable by multiplying the numbers and adding the exponents so

2y^2*4x^4y=8y^3x^4

then 8y^3x^4*x^2y^3=8y^6x^6

Answer: 8y^6x^6



There you go hopefully it helps u



11. What is the perimeter of the top of a square pizza box that just manages to hold a circular pizza whose radius is 70 cm?

Answers

Multiply the radius by 2 to get the diameter: 70cm x 2 = 140cm. Then, to find the perimeter of the pizza box, multiply the radius by 4 since there are 4 sides in a square pizza box: 140cm x 4 = 560cm. Hope this helps!

RS=6y+2, ST=3y+7 and RT=54
a. what is the value of y?
b. find RS and ST

please answer asap

Answers

Answer:

y = [tex] \frac{5}{3} [/tex]

RS = 12

ST = 12

Step-by-step explanation:

hope it helps ☺️

does anyone know how to do this percentage I need help I don't understand how to

Answers

Answer: 21

Step-by-step explanation:

Answer:

21$

Step-by-step explanation:

30 divided by 10 = 3 (10%)

3 x 3 = 9 (30%)


Pls help it would be a big help rn

Answers

Answer:

1.5 g/mm³

Step-by-step explanation:

Density = [tex]\frac{Mass}{Volume}[/tex]

[tex]\frac{3}{2}[/tex] = 1.5 g/mm³

List the term(s) in the following expression:
2x2–5xy + 8y4

Answers

Answer:

8

y

4

+

2

x

2

5

x

y

Step-by-step explanation:

There are total three terms in the expression which are 2x², 5xy and 8y⁴.

What is a mathematical function, equation and expression?  function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the expression as following -

2x² - 5xy + 8y⁴

The number of terms in the given expression are three in number -

2x² , 5xy and 8y⁴.

Therefore, there are total three terms in the expression which are 2x², 5xy and 8y⁴.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

If you want to buy an item in a store that costs $48.50 and is on sale for 30% off, then how much would the item actually cost you after the discount? Round to the nearest cent.​

Answers

Answer:

35.99

Step-by-step explanation:

With Out Tax 35.99

With Tax 33.95

48.50-0.3=$33.95
The item would cost $33.95 after the discount.

A smokestacks, AB, is 55 m high. From two points C and D on the same side of the smokestack’s base B, the angles of elevation to the top of the smokestack are 40 degrees and 36 degrees repectively. Find the distance between C and D to the nearest metre.

Plz guys help me with this question ASAP

Show all working

Thank you so much God Bless you brother

Answers

Answer:

CD=10.15m

Step-by-step explanation:

Find the distance of BC.

Tan(40)=55/BC

BC=65.55m

Find the distance of BD.

Tan(36)=55/BD

BD=75.70m

Use BC and BD to find CD

BD-BC=CD

75.70-65.55=CD

CD=10.15m

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