5. Brian's cylindrical water tank has a diameter of 4m and a height of 2m.
i) Find the volume of the tank (to the nearest litre)

ii)Find the depth of the water in the tank when it has 2000L of water (to the nearest
centimeter)

5. Brian's Cylindrical Water Tank Has A Diameter Of 4m And A Height Of 2m.i) Find The Volume Of The Tank

Answers

Answer 1

Answer:

i)  25130 Liters

ii) 16 cm

Step-by-step explanation:

The volume of the tank is in cubic meters, not liters.  So the answer to question i) would be 25.13 cubic meters, which equals 25130 Liters.

ii) Now we find the depth.  2000 is 7.959% of 25130.  7.959% of the 2 meter height is 15.917 cm.  Rounded to the nearest cm, it would be 16 cm.


Related Questions

Type the correct answer in the box. Use numerals instead of words.
Find the sum of the finite geometric series.
Mr. Jamison deposited $100 into a new savings account on January 1. On the first day of each month thereafter, he deposited three times the amount he deposited in the previous month. On June 15 of the same year, the total amount Mr. Jamison has deposited is $

Answers

Answer:

$36,400

Step-by-step explanation:

Mr Jamison deposited $100 in January

February=3*100=$300

March=3{3(100)=3^2(100)=9*100=$900

April=3^3(100)=27*100=$2,700

May=3^4(100)=81*100=$8,100

June=3^5(100)=243*100=$24,300

Total amount=$100 + $300 + $900 + $2700 + $8100 + $24300

=$36,400

The total amount deposited by Mr Jamison on June 15 is $36,400

this question is difficult. can someone explain plz! asap​

Answers

Answer:

See below.

Step-by-step explanation:

Central angles AOB and DOC are vertical angles, so they are congruent.

m<AOB = 50°

BD is a diameter, so the measure of central angle BOD is 180°.

The measure of an arc of a circle is equal to the measure of the central angle that subtends it.

m<AOB + m<AOE + m<EOD = 180°

50° + m<AOE + 60° = 180°

m<AOE + 110° = 180°

m<AOE = 70°

m(arc)AE = m<AOE = 70°

m(arc)AB = m<AOM = 50°

A full circle has 360 deg of central angle and of arc measure.

m(arc)ECB = 360° - m(arc)AE - m(arc)AB

m(arc)ECB = 360° - 70° - 50°

m(arc)ECB = 240°

Angle BOC is vertical with angle AOD.

m<BOC = m<AOD = m<AOE + m<EOD

m<BOC = 70° + 60°

m<BOC = 130°

what are the possible polynomial expression for dimensions of the cuboid whose volume is 12y2 + 8y -20
!
!
!
!
!

plz answer fast​

Answers

Answer:

The answer is below

Step-by-step explanation:

The volume of a cuboid is the product of its length, height and breadth. It is given by:

Volume = length × breadth × height

Since the volume is given by the expression 12y² + 8y - 20. That is:

Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]

Volume = 4(y-1)(3y+5)

Or

Volume = 12y² + 8y - 20 = 2(6y² +4y - 10) = 2(6y² + 10y - 6y -10) = 2[y(6y + 10) -1(6y + 10)]

Volume = 2(y-1)(6y+10)

Therefore the dimensions of the cuboid are either 4, y-1 and 3y+5 or 2, y-1 and 6y+10

Answer:

plz mark me as brainiest

What is the area of the trapezoid shown below?

Answers

Answer:

180 units

Step-by-step explanation:

In order to solve this, we need to find the length of the missing side of the triangle using the Pythagorean theorem.

a²+b²=c²

a= 7

b=x

c= 25

7²+x²=25²

49+x²=625

Subtract 49 from both sides

x²=576

x=24

The length of the missing side of the triangle is 24, which is also the base of the triangle. We need to find the area of the triangle so we use the formula for the area of a triangle, A=1/2bh.

A= 1/2 (24 x 7)

A=84

Now, we need to find the area of the rectangle.

Formula for area of rectangle: A= bh

A= bh

A= 4 x 24

A= 96

Next, we add the areas of both shapes to get the area of the entire figure.

96+84=180

Area of figure= 180

Answer:

area = 180

Step-by-step explanation:

will make it simple and short

area of a trapezoid = (a + b) h/2

h = sqrt(25² - 7²) = 24

Area = (4 + 11) * 24/2

area = 180

ASAP how many solutions are there for the system of equations shown on the graph?

Answers

Answer: Infinitely many solutions

Step-by-step explanation:

The lines is on top of each other so this makes it many solution.

It can't be NO solution because the lines are not parallel  to each, which means  they will not intersect.

It  can't be one solution because the lines doesn't intersect.

It can't be two solutions because the lines never intersect and they never intersect twice either.

Many Solutions is the answer

7.If 18, a, b, - 3 are in A.P., then a+b = ?

(1 Point)

1212

1515

1616

1111

please give the answer as fast as you can

please ​

Answers

Answer: 15

Step-by-step explanation:

General terms in AP

f, f+d, f+2d, f+3d, ....  , where f= first term and d= common difference.

The given A.P. : 18, a, b, - 3

here, f= 18    

[tex]f+d= a ...(i)\\\\f+2d = b ...(ii)\\\\f+3d= -3 ...(iii)\\\\[/tex]

Put f= 18 in (iii) ,

[tex]18+3d=-3\\\\\Rightarrow\ 3d= -3-18\\\\\Rightarrow\ 3d= -21\\\\\Rightarrow\ d=-7[/tex]

Put f= 18 and d= -7 in (i) and (ii) , we get

[tex]a=18+(-7)=11\\\\b=18+2(-7)\\\\\Rightarrow\ b=18-14\\\\\Rightarrow\ b=4[/tex]

Now, [tex]a+b= 11+4=15[/tex]

Hence, the correct answer is "15".

The triangle is a right triangle with the right angle marked. Which equation correctly expresses The Pythagorean Theorem for this triangle?​

Answers

Answer: Choice B

r^2 + s^2 = t^2

The legs are length r and s. Square them and add the squares to get the square of the hypotenuse t. The hypotenuse is always opposite the 90 degree angle.

Answer:

Hey there!

The pythagorean theorem states that the square of one leg plus the square of another leg is equal to the square of the hypotenuse.

Thus, r^2+s^2=t^2.

This can be a challenging topic, and if you need a further explanation, let me know. Hope this helps :)

11
12
The data set represents the total number of tickets each person purchased for a play.
0, 0, 1, 1, 1, 2, 2, 2, 4, 4
What is the median of the data?
O 1
O 1.5
02
O 2.5​

Answers

Answer:

1.5 because it is the average of the two middle numbers in this scenario.

The median of the data is 1.5 if the data set represents the total number of tickets each person purchased for a play option, second is correct.

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data:

0, 0, 1, 1, 1, 2, 2, 2, 4, 4

There are two mid-values in the middle that is 1 and 2

The mean of these two values will be median:

[tex]\rm Median = \dfrac{1+2}{2}[/tex]

Median = 1.5

Thus, the median of the data is 1.5 if the data set represents the total number of tickets each person purchased for a play option second is correct.

Learn more about the median here:

brainly.com/question/21396105

#SPJ2


WILL GIVE BRAINLIEST!!!

Answers

Answer:

2 x^2 sqrt(13)

Step-by-step explanation:

sqrt( 52x^4)

sqrt( 4*13 * x^2 * x^2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt( 4)*sqrt(13) *sqrt( x^2) *sqrt( x^2)

2 sqrt(13) x*x

2 x^2 sqrt(13)

52|2

26|2

13|13

1

[tex]\sqrt{52x^4}=\sqrt{2^2\cdot13\cdot(x^2)^2}=2x^2\sqrt{13}[/tex]

can someone explain this please?

Answers

Answer:

3 + 2y = 2 + 4y

Step-by-step explanation:

1. Create the equation

3 + 2y = 2 + 4y

There are 3 "1" blocks and 2 "y" blocks on the left. There are 2 "1" blocks and 4 "y" blocks on the right. The scale shows both are equal.

Answer:

3 + 2y = 2 + 4y

Step-by-step explanation:

To create an equation from this model, we look at both sides of the scale. The left has three 1 units and two y units, and there are two 1 units and four y units on the right side. Since the scale shows that both sides are equal in weight, we know that our equation would have an equal sign to show they are equal.

Left: Three 1 units can be written as 3 and two y units could be written as 2y.

Right: Two 1 units can be written as 2 and four y units could be written as 4y.

Now, we put these values together (with an equal sign) to get:

3 + 2y = 2 + 4y.

Hope this helps!

Bryan decides he wants to help pay for a birthday party for his little brother at the ice rink. It cost $50 to rent the party room and then $4 for each person attending. Bryan only has $100 to spend at the party. a) What are the constraints for this situation? b) Find the domain and range for this situation. Make sure you include all values for each using correct notation.

Answers

Answer:

a) 4*x + 50 ≤ 100  

b) Domain   x (0 ; 12 )     Range   f(x)   ( 50  ; 98 )

Step-by-step explanation:

The constraint is:

4*x + 50 ≤ 100                   where "x" is the number of persons

b) Domain for x

x = 0    up to  x = 12           x (0 ; 12 )

c) Range for f(x)

f(x) = 4*x + 50

f(0)  = 4*0 + 50      f(0) =  50

f(12) = 4*12 + 50    f (12) =  98

f(x)   ( 50  ; 98 )

PLEASE ANSWER THIS! I WILL GIVE AMAZING RATING IF FAST

Answers

Answer:

[tex]\boxed{\sf a) \ 120 \ km^2}[/tex]

Step-by-step explanation:

The surface area is the total area of the faces added together.

Area of 2 triangles + Area of 3 rectangles

The two cross-sections are the triangles.

Area of triangle = base × height × 1/2

Area of a rectangle = length × width.

4 × 3 × 1/2 + 4 × 3 × 1/2 + 9 × 3 + 9 × 4 + 9 × 5

6 + 6 + 27 + 36 + 45

= 120

Triangle P Q R is shown. The length of P Q is 17, the length of Q R is 15, and the length of P R is 14. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleP to the nearest whole degree? 35° 52° 57° 72°

Answers

Answer:

P = 57°

Step-by-step explanation:

Given the following :

PQ = 17

QR = 15

PR = 14

Using the cosine formula since the length of the three sides are given:

a2 = b2 + c2 – 2bccos(A)

To find P:

QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)

15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)

225 = 289 + 196 - 476 cosP

476*CosP = 485 - 225

476*CosP = 260

CosP = 260/476

CosP = 0.5462184

P = Cos^-1(0.5462184)

P = 56.892029

P = 57°

Answer:

57 degrees

Step-by-step explanation:

just took the test on edg2020

Keenan currently does a total of 8 pushups each day. He plans to increase the number of pushups he does each day by 2 pushups until he is doing a total of 30 pushups each day. Which equation can we use to determine x, the number of days that it will take Keenan to reach his goal? In an expression

Answers

Answer:

Number of push up = 8 + 2x

Step-by-step explanation:

Keenan can do 8 push ups each day. He plans to do 2 extra day until he is doing 30 push ups. Each day he does an additional 2 push up, on the first day he does 8 + 2 = 10 push up, on the second day he does 10 + 2 = 12 push ups. This can be represented by the expression:

Number of push up = 8 + 2x

where x is the number of days.

To do 30 push ups, we can calculate the number of days needed:

30 = 8 + 2x

2x = 30 - 8

2x = 22

x = 11

Answer:

8+2x its from khan academy

Step-by-step explanation:

give person above brainliest :)

Write the expression -5x(4+3x) using words

Answers

Answer:

negative five times x, parenthesis four plus three times x

Step-by-step explanation:

Hey there!

Well,

-5x ⇒ negative 5 times x

(4 + 3x) ⇒ parenthesis four plus three times x

Hope this helps :)

The cost of a cycle is $ 950 and that of a scooter is $ 23,500. He sold them together for $ 25,000. Find his profit. ​

Answers

actual cost is 950+23,500=24450

he sold them for 25000 so his profit is 25000-950-23500=550

Answer:

A cycle + A scooter

= 950 + 23,500

= 24,450

Profit = Sold - cost

= 25,000 - 24,450

= 550

So the profit is $550

Find the area of the following rectilinear figure.

Answers

Answer:

Area : 14+10+40=64 square unit

Step-by-step explanation:

the area of the top rectangle with sides  2 and 7

A=2*7=14 square unit

the area of the middle rectangle with sides : (7-5)=2 and side (7-2)=5

Area=5*2=10 square unit

the bottom rectangle : sides 10 and 4

Area=10*4=40

add the areas : 14+10+40=64 square unit

Which of the following systems has (1,−1) as a solution? 1. 3x−2y=1 5x+3y=8 2. 3x+2y=1 5x+3y=−8 3. 3x+2y=1 5x−3y=8 4. 2x+3y=1 5x−3y=−8

Answers

2. 3x+2y= 1 and 5x+3y=-8

solution: In picture.

This figure shows how to create a six-pointed star from twelve equilateral triangle tiles: (SEE FIGURE ATTACHED) If each of the original tiles has a perimeter of 10 cm, what is the perimeter of the final star in cm?

Answers

Answer:

Perimeter of the final star = 40 cm²

Step-by-step Explanation:

The perimeter of the six-pointed star is the sum of the sides of the 6 equilateral triangles that form a boundary around the star.

1 triangular tiles gas a perimeter of 10cm.

Only 2 out of the 3 equal sides of each of the 6 equilateral triangles form the boundary of the final star.

Therefore, perimeter of the final star = ⅔ of the total perimeter of 6 triangular tiles

= ⅔ of (10*6)

= ⅔*60

= 2*20

Perimeter of the final star = 40 cm²

the angles of traingle are in the ratio 3:7:8 find them in degrees as well as in radians​

Answers

30°, 70°, and 80°.
It is an acute-angled triangle.
Explanation:
The ratio of the measures of ∠s in Δ is 3:7:8.
So, let us suppose that the measures are, 3k, 7k, 8k.
Evidently, their sum is
180°.

3k+7k+8k=180
18k=180
k= 10

Hence, the measures are,
30°, 70°, and 80°.
As all the angles are acute, so is the triangle.

Find each rate and unit rate.
420 miles in 7 hours

Answers

Answer:

60 miles per hour.

Step-by-step explanation:

420 miles in 7 hours is the same thing as (420 / 7) = 60 miles per hour.

Hope this helps!

Answer:

60 miles / hour

Step-by-step explanation:

The unit rate will be the number of miles in 1 hour. Therefore, we must divide the miles by the hours.

miles/hours

We know it is 420 miles in 7 hours.

420 miles / 7 hours

Divide 420 by 7

420/7=60

60 miles/ hour

The unit rate is 60 miles per hour.

You move at 45/mph and a bullet is shot at you, the bullet is moving at 44/mph

Would you be able to dodge the bullet, you factor in the fight or flight or freeze response

Answers

Answer:

See explanation below.

Step-by-step explanation:

A bullet shot at you will definitely hit you because of the direction it is travelling.

Your fight and flight response won't be activated either because of the speed of the event (bullet) or if you don't know how harmful a gun is (you'll remain calm/ignorant in this case)?

Try to post academic problems.

Best Regards!

How does a globe represent the fact that there are no parallel lines in elliptical geometry? A. The equator is not parallel to any other latitudinal lines. B. The north and south poles are never connected by a geodesic. C. The geodesics connecting the Nortj and South poles never intersect. D. The geodesics connecting the north and south poles intersect at both of the poles.

Answers

Answer:

The correct option is;

D. The geodesics connecting the North as South poles intersect at both of the poles

Step-by-step explanation:

As an analog to the straight line, the geodesic of a curved surface is the shortest path between two points on the curved surface

Whereby the Earth is assumed to be spherical, the geodesics around the Earth would then be closed circles and like the longitude and latitude, will meet at the North and South poles

However given that the Earth is an Oblate ellipsoid, Euclid's parallel postulate is not in effect and the geodesics connecting the North and South Poles Intersect at both poles.

The answer is Option D, option D is correct.

a=v^2/r Solve the formula for r

Answers

What formula is you using r or what do you have to show work ?

Answer:

[tex]\Large \boxed{r =\frac{v^2 }{a}}[/tex]

Step-by-step explanation:

[tex]\displaystyle a=\frac{v^2 }{r}[/tex]

We need to rearrange and solve the formula for [tex]r[/tex].

Multiply both sides of the equation by [tex]r[/tex].

[tex]\displaystyle a \times r=\frac{v^2 }{r} \times r[/tex]

Simplify the equation.

[tex]ar=v^2[/tex]

Divide both sides of the equation by [tex]a[/tex].

[tex]\displaystyle \frac{ar}{a} =\frac{v^2 }{a}[/tex]

Simplify the equation.

[tex]\displaystyle r =\frac{v^2 }{a}[/tex]

a man stride is 7/8 metre long. how many strides does he take in walking a distance of 98m​

Answers

Answer:

  112

Step-by-step explanation:

To find the number of strides, divide the distance by the distance per stride:

  (98 m)/(7/8 m/stride) = (98)(8/7) strides = 112 strides

He takes 112 strides in walking 98 m.

what is the image (-9,-2) after a reflection over the x-axis ?​

Answers

Answer:

(-9,2)

Step-by-step explanation:

The rule for reflecting over the x axis is

(x,y)→(x,−y)

(-9, -2) becomes ( -9, - -2) = (-9,2)

Answer:

(-9,2)

Step-by-step explanation:

It will be -9,2 because when you reflect across x axis you change the y axis not the x axis because if you imagine it it works like that

I NEED HELP ON THIS QUESTION!!!! I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!!

Answers

Answer: Ruiz and greater

Step-by-step explanation:

I graphed them.

Find the square root of 2601 by prime factorization (USE MULTIPLICATION METHOD TO SOLVE THE ABOVE QUESTION)

Answers

2601|3

867|3

289|17

17|17

1

[tex]\sqrt{2601}=\sqrt{3^2\cdot17^2}=3\cdot17=51[/tex]

Shalom, Guys! The Question is in the image down below! Love, Piper Rockelle

Answers

Answer:

see below

Step-by-step explanation:

(x³ + 9) / (x³ + 8)

= (x³ + 8) / (x³ + 8) + 1 / (x³ + 8)

= 1 + 1 / (x³ + 8)

Answer:

Your not piper

Step-by-step explanation:

Think of a value for a and a value for x so that the triangles are still similar.

Answers

Answer:

x=6

a=9

Step-by-step explanation:

Because 21 is 1.5 times 14, and 15 is 1.5 times 10, a has to be 1.5 times x.  Also, x must be more than 4 in order for it to make a triangle.  To make it simple, I'd use either 6 or 8.  Just for ease, I'll use 6.

x=6

a=6*1.5=9

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