Mathematics High School

A water tank holds 254.34 m cm3 of water. If
the diameter of the tank is 6 meters, calculate
the height

Answers

Answer 1

Answer:

Height, h = 9 m

Step-by-step explanation:

Given that,

The volume of a water tank, V = 254.34 m³

The diameter of the tank, d = 6 m

We need to find the height of the clinder. The volume of a cylinder is given by :

[tex]V=\pi r^2h\\\\h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{254.34}{3.14\times (3)^2}\\\\h=9\ m[/tex]

So, the height of the cylinder is 9 m.

Related Questions

Find the product.
(x-3)(x+5)

Answers

Answer:

x2+5x-3x-15=x2+2x-15

Step-by-step explanation:

(x)(x)=x2,(x)(5)=5x

(-3)(x)=-3x,(-3)(5)=-15

Answer: X^2 + 8x -15

Step-by-step explanation:

Use the foil method.

First, outer, inner, last

Multiply the first numbers inside each parenthesis. X*X = x^2

Next multiply the outer number in each parenthesis. X*5 = 5x

Then multiply the inner numbers of the parenthesis. -3*x= 3x

Finally multiply the last numbers in the parenthesis. -3*5 = -15

Now add all of these together

X^2 + 5x + 3x + -15

Combine like terms

X^2 + 8x -15

X can be solved from here, however it does not seem that you are asked to solve for x

this will help me a lot if you anwser this

Answers

I think the answer may be B but I don’t really know

Please help!! Tysm!!!!!!!!!!

Answers

it’s the first one.

the one with 9 squares with 2 filled in

How is the quotient 5 to the 8th power expressed as a power of 5

Answers

Answer:

5^4

Step-by-step explanation:

When dividing exponents with the same base, you subtract their exponents.

8-4=4

This means that 5^8 / 5^4 is equal to:

5^4

Rewrite the function f(x)=4(x-2)²-8 in the form f(x)=ax²+bx+c.

Answers

Answer:

4[tex]x^{2}[/tex]-16x+8

Step-by-step explanation:

4(x - 2)(x - 2) - 8 = 4([tex]x^{2}[/tex] - 4x + 4) - 8 = 4[tex]x^{2}[/tex] - 16x + 16 - 8 = 4[tex]x^{2}[/tex] - 16x + 8.

Answer:

[tex]f(x) = 4x^2 -16x + 16[/tex]

Step-by-step explanation:

f(x)=4(x-2)² Simplify.

f(x) = 4x^2 - 16x + 16

Form f(x)=ax²+bx+c.

f(x) = 4x^2 - 16x + 16

If triangle HBN ~ triangle LYR, find the value of x.

Answers

Answer:

x = 13

Step-by-step explanation:

BH / YL = HN / LR

28 / 21 = 3x-7 / x+11

cross-multiply:

4x + 44 = 9x - 21

-5x = -65

x = 13

Answer:13

Step-by-step explanation:

A number m is no less than –1 or less than or equal to −5.

Answers

Answer:

-1 < m ≤ - 5

Step-by-step explanation:

Your expression includes: m, -1, -5, >, ≤

m is the value being compared so it will be in the middle.

# sign m sign #

m is no less than -1: no less than means it is greater than -1, but does not include -1. Therefore, our sign is >

m > -1

m is less than or equal to -5. This means we use ≤ because it can equal -5.

m ≤ -5

Now combine the two expressions

m > -1 – This can also be written as -1 < m.

m ≤ -5

-1 < m ≤ - 5

Sophia is paid $12 per hour to babysit. Which equation represents how much money Sophia earns, d, when she babysits for h hours?

Answers

Answer:

D=12h

Step-by-step explanation:

Find the slope of the line through the given points.
(-2,7) and (2,-5)

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

hope this is right!

Write the sum as a product of 2-factors.
10-25t

Answers

Answer:

5

out of

5

(

2

)

+

5

(

−

5

t

)

.

5

(

2

−

5

t

)

Step-by-step explanation:

tell whether the ordered pairs represent a function 1,4 2,5 1,6 3,7​

Answers

Answer:

no it does not

Step-by-step explanation:

I am a number between 12 and 18.
I am a multiple of 2.
I am not a multiple of 4.

Answers

i believe it’s 14 :))

The six sides of a number cube are labled 1,2,3,4,5,6, . You flip a coin and roll the number cube what is the probability that you land on tails and get a number less than 3.

Answers

Answer:

1/6 or 16.67%

Step-by-step explanation:

The probablility for the coin is 50% and the probablility for the cube is 2/6 or 1/3 aka 33.3%. You need to multiply these together to figure out the percentage so 1/2 time 1/3 is 1/6.

yeah, i need help solving this and i need help quick please.

Answers

P=18
Angle e and c are the same because they are opposite interior angles. Therefore you can set it up in an equation like: 117=5P+27 and solve.
117=5P+27 you need to subtract 27 from both sides
90=5P you need to divide both sides by 5 to get
P=18

In band, there are 3 woodwinds for every 1 percussion

player. What is the ratio of woodwinds to percussion players?

Answers

Answer:

3:1

Step-by-step explanation:

For every 3 woodwinds, there is 1 percussion.

Note:

6:2, 9:3, 12:4 are equivalent to 3:1.

Every time you add 3 to the first value, and 1 to the second value.

Answer:

3:1

Step-by-step explanation:

it is pretty self-explanatory. For every x amount of percussionists there are y amount of woodwinds.

y:x

y=3

x=1

3:1



Write an equation where a number is added to a variable, and a solution is -8.

Answers

Answer:

-2 -  -10

Step-by-step explanation:

Find the slope of the line that passes through the following points: E(1.4). F(5,-2)​

Answers

Answer:

-1.5

Step-by-step explanation:

m=-6/4

m=-3/2

-1.5

Answer:

-3/2

Step-by-step explanation:

[4-(-2)] / [1-5] = 6 / -4 = -3/2

What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6?

Answers

Answer:

The coordinates of the point P  in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:

(x, y) = (-1, -7)

Step-by-step explanation:

Let P be the point.

As the point P is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

(x₁, y₁) = (-2,-8)

(x₂, y₂) = (5,-1)

Rise = y₂ - y₁ = -1 - (-8) = -1 + 8 = 7

Run = x₂ - x₁ = 5 - (-2) = 5 + 2 = 7

1 : 6 ratio means the point P lies at

[tex]\frac{1}{6+1}=\frac{1}{7}=14\%[/tex]

Thus,

rise for P = 7 × 14% = 1

run for P =  7 × 14% = 1

Thus, coordinates of P will be:

x = -2 + 1 = -1

y = -8 + 1 = -7

Thus,

The coordinates of the point P  in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:

(x, y) = (-1, -7)

work out the value of 7^2+4^3x2^5

Answers

Answer:

2097

Step-by-step explanation:

7² = 49

4³ = 64

2⁵ = 32

→ Substitute values

49 + 64 × 32

→ Solve

Reasoning Explain why either a or b must be 0 if ab = 0, but neither a nor b
must be 4 when ab = 4.

Answers

By the zero product property, a or b must be 0 if ab = 0. Or you could solve for each variable.

Divide both sides by b:
b=0/a —> b=0

Divide both sides by b:
a=0/b —> a=0

Hmm A could be 4 and b could be 1 because 4*1=4

rory campbell plz help me, or at least anyone that can give me the right answer plzzz

Answers

the answer is (1.5, 1)

4. Your job as a carpenter pays $20/hour and you worked 40 hours last week. The taxes
withheld from your wages were $83 federal tax and $19 state tax. Your total check is
a. $698
b. $720
c. $810
d. $912

Answers

Answer:

698.00 (A)

Step-by-step explanation:

20.00x40=800.00

83.00+19.00=102.00

800.00-102.00=698.00

The total amount of the check will be $698. Then the correct option is A.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Your job as a carpenter pays $20/hour and you worked 40 hours last week.

Then the amount that you earn in 40 hours will be

⇒ $20 x 40

⇒ $800

The taxes withheld from your wages were $83 federal tax and $19 state tax. Then the total amount of the check will be

⇒ $800 - $83 - $19

⇒ $800 - $102

⇒ $698

The total amount of the check will be $698. Then the correct option is A.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

A 4-pack of golf balls costs $11.60. What is the unit price?

Answers

Answer:

2.9

Step-by-step explanation:

11.6 divided by 4 equals 2.9

Answer:

2.9 :)

Step-by-step explanation:

Help

btw it says for not fo lol​

Answers

Answer:

ada apa dekkkkkkkkkkbahahajaia

Answer: quadrilateral , parallelogram,square

Step-by-step explanation:

hopes this helps :)

If a jacket costs $65.49 and it will be marked up 30%, what is the selling price?

Answers

$85.37 I think?
I’m not 100% so good luck

If CDFH ∼ STVW, find the value of x. (Not a Decimal Answer)

Answers

Answer:

i think x is 4 but i could be wrong so sorry if im incorrect

Step-by-step explanation:

Factoring.

The answer is supposed to look like this.

EXAMPLE:

5x(6x+2)(6x-2)

Answers

Answer:

3(5x+3)(5x-3)

Step-by-step explanation:

75x^2-27=3(25x^2-9)=3(5x+3)(5x-3)

You see, I can be myself now finally

In fact, there's nothing I can't be

I want the world to see you'll be with me



What is the song and artist name and the next 19 words!!!

Will get brainly if all is correct!!!

Answers

The song is 'Hey, Soul Sister' by Train. The next 29 words are:

I want the world to see you be, with me

Hey, soul sister

Ain't that Mr. Mister on the radio, stereo?

The way you move ain't fair, you know

Please help! 15 pts!
Ivanna, Andrea, Tabitha and Mary are sisters. Their father tells them that they will not be allowed to travel to Hawaii by themselves until their average age is 21. Right now, their ages are 19, 15, 14, and 12. In how many years will they be able to go to Hawaii?

Answers

Answer:

6 years

their average age now is 15

so, in six years the average age will be 21

Step-by-step explanation:

If im wrong you have my regrets

the measure of b is?

Answers

Answer:

35.228

Step-by-step explanation:

Answer:

b=21

Step-by-step explanation:

For this problem we need to use Pythagorean theorem (a^2+b^2=c^2):

20^2+b^2=29^2

Simplify the squares:

400+b^2=841

Subtract 400 from both sides:

b^2=441

Take the square root of both sides:

b=21

HTH :)

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