A garden swimming pool with a cuboidal shape is 8m long and 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it. What is the height of the water level in the pool

Answers

Answer 1

Answer:

the pool with 40m³ of water in it is 1.25m deep

Step-by-step explanation:

first convert 150 cm to 1.5m

2nd 8m l × 4m w × 1.5m d = 48m³

3rd divide 40m³ by 8m l × 4m w or 32m²

40m³/32m² = 1.25m deep


Related Questions

Find the slope of the line through each pair of points.
(-10,8), (5,-5)

Answers

Answer:

-0.86667

Step-by-step explanation:

m = -13 / 15 = -0.86667

2) Given the sequence 5, -2, -9, ...

Find the first term:

Is the sequence arithmetic?

Find the common difference d:

Find the general term an:

Find the 20th term:

Find the sum of the first 50 terms:

Answers

The first term is 5

Yes this a arithmetic sequence

The common difference is 7

Answer:

Find the first term:  

The first term is 5

Is the sequence arithmetic?

Yes because (5 -7 = -2) (-2 - 7 = -9)  

Find the common difference d:

The common difference is -7

Find the general term an:

[tex]a_{n}[/tex] = (first term) + ((nth term) -1) · (common difference)

[tex]a_{n}[/tex] = 5 + (n - 1) · (-7)

Find the 20th term:

[tex]a_{20}[/tex] = 5 + (20 - 1) · (-7)

= -128

Find the sum of the first 50 terms:

[tex]a_{50}[/tex] = 5 + (50 - 1) · (-7)

= -338

Find the perimeter.simplify your answer.

Answers

Answer:

proly

Step-by-step explanation:

2 * (2z-9) + 2 * (10z)

4z-18 + 20z

24z - 18

Answer:

22z

Step-by-step explanation:

10+10+2z-9+2z-9= 22z

I desperately need this answer. Thank You so much and have a great day

Answers

Answer:

D

Step-by-step explanation:

p(t)=2t+5

p(10)=2(10)+5

p(10)=20+5

p(10)=25

please give me a brainliest since this took a lot of thinking

Given: 8x - 3y= -21, 3x + y = -10; prove x= -3

Answers

8x-3y=-21
3x+y=-10

Substitute the value of y
8x-3y=-21
y=-10-3x

8x-3(-10-3x)=-21

x=-3

A train goes at a constant speed. It can travel 150 miles in 2 1/2 hours. How long would it travel in 2 hours?

Answers

150 / 2.5
60 miles per hour
60 X 2 = 120
120 miles in 2 hrs

Write
1

26
in index form.

Answers

Answer:

Simplify 1√26inindexform

Simplify √26.

Checking square roots, we see that 52 = 25 and 62 = 36.

Our answer is not an integer, so we try simplify it into the product of an integer and a radical.

reduce 4/36 to simplest terms


a. 1/8

b. 2/13

c. 1/9

d. 2/12

PLS ANSWER THISS :D

Answers

Answer:

C

Step-by-step explanation:

HCF of 4 and 36 is 4

Divide the numerator and denominator by 4

[tex]\dfrac{4}{36}=\dfrac{4*1}{4*9}=\dfrac{1}{9}[/tex]

how long will it take the wave to reach the shore?

Answers

The answer is the last one 0.6 sec

2x+3y=10
-6x-9y=30
elmantation method

Answers

Answer:

• First assign any label to the equations:

[tex]{ \tt{2x + 3y = 10 - - - \{eqution \: (a) \}}} \\ { \tt{ - 6x - 9y = 30 - - - \{equation \: (b) \}}} \\ [/tex]

• Multiply equation (a) by 3

[tex] \dashrightarrow \: { \tt{3 \times (2x + 3y = 10)}} \\ \dashrightarrow \: { \tt{6x + 9y = 30}}[/tex]

• Sum up the result with equation (b)

[tex]{ \underline{ + { \tt{ \binom{6x + 9y = 30}{ - 6x - 9y = 30} }}}} \\ { \tt{0x + 0y = 60}}[/tex]

Answers:

No solutions

Help please no funny stuff!

The last one is
10,15
20,25
8,30
20,35

Answers

Answer:

the last one none over lap



Please show work, I have no idea how to do this

Answers

Answer:

161 Remainder 4

Step-by-step explanation:

trust me on this

Answer:

_

161.2 BUT if with remainder it is 161 with a remainder of 4

Step-by-step explanation:

By the way the 2 is a repeating number so make sure to add that line at the top.

What is the y-intercept of the line?

Answers

Answer:

34

Step-by-step explanation:

We start by working out the slope. The slope is change in y over change in x, so (66-58)/(-56)-(-42) is the slope here. 66-58 is 8, and -56-(-42) is -14. -8/14=-4/7. The equation of a line in slope-intercept form is y=mx+b where b is the y intercept and m is the slope. Since the slope is -4/7, then y=-4/7x+b. We then insert any x and y pair into this equation and solve for b, the y intercept to get it. (We can do ANY pair) So, 50=(-4/7)(-28)+b.

: 50=16+b

: 50-16=b

: 34=b

So, in conclusion, the y intercept is 34. Hope this helps!

The sum of two numbers is 72.The difference is 40.Find the number

Answers

the answer is 56 and 16

Step-by-step explanation:

56 and 16

Which Python expression results in 36?

6 * 2

6 ** 2

6 // 2

6 ^ 2

Answers

The answer is 6^2. Hope this helps!

A SQUARE RECTANGULAR PRISM (BASE IS A SQUARE) HAS A
VOLUME OF 38 CU. IN. THE HEIGHT IS 10 LESS THAN THE AREA
OF THE BASE. WHAT IS THE HEIGHT? NO UNITS.

Answers

The height of the prism [tex]\approx 2.9[/tex]

The whole volume of the prism is

[tex]\text{Volume} = \text{Area of base}\times \text{Height}[/tex]

Here, the volume is 38 cu. in.

From the question, the area and the height are related as follows;

[tex]\text{Height} = \text{Area} - 10 \implies \text{Height + 10} =\text{Area}[/tex]

Substituting this into the formula for the volume, we get

[tex]\text{Volume}=(\text{Height} +10)\times \text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}-38=0[/tex]

If the above quadratic equation is solved for the height, we get

[tex]\text{Height}\approx 2.9[/tex]

(We can't take the other solution since height has to be greater than zero)

Another word problem on volume can be found in this link: https://brainly.com/question/17142547

4) A line has a slope of -5 and passes through the point (2, 2). An equation for this line is

Answers

Answer:

[tex]D: y= -5x+12[/tex]

Step-by-step explanation:

Since the slope is -5 is either C or D. Let's replace [tex]x= 2[/tex] in either to see what we get.

C: [tex]-5(2)-2 = -12[/tex] Nope.

D: [tex]-5(2) +12 = 2[/tex] Good!

ms.ngoc class has 25students. There are 13 girls and 12 boys. If a student is selected at random, what is the probality of not selecting girl

Answers

Answer:

48% of selecting a male 52%of selecting a female

Step-by-step explanation:

Enlarge triangle ABC by scale factor -2, centre (4,2)

Answers

Answer:

  see attached

Step-by-step explanation:

The scale factor of -2 means each point on the preimage will be reflected across the center of dilation a distance twice its distance to that center.

For example, point B is 2 units right and 1 unit down from the center of dilation. Its image will be 4 units left and 2 units up from the center of dilation, so will have coordinates B'(0,4).

C is 1 unit right of B, so C' will be 2 units left of B', at C'(-2, 4).

A is 4 right and 1 up from the center, so A' will be 8 left and 2 down from the center, at A'(-4, 0).

What is y=2x? (its in the mathematics Georgia book)

Answers

The answer would be X=1/2y

7x-12y=180 7x=84
i need someone to explain step by step

Answers

Answer:

x=12,y=-8

Step-by-step explanation:

7x=84

x=84/7=12

12y=7x-180=7*12-180=84-180=-96

y=-96/12=-8

The solution of 7x-12y=180 is x = 12 and y =-8.

What is an equation?

An equation is made up of two algebraic expressions with the same value and the sign "=" in between.

Given, the equation;

7x-12y=180  {equation 1}

And 7x = 84

x = 84/7

x = 12

Substitute the value of x to the equation 1,

7(12) - 12y = 180

12y = 84 - 180

y = -96/12

y = -8

Therefore, x = 12 and y = -8 is the solution.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

Solve the system of linear equations below.

6x + 3y = 33
4x + y = 15


A x = 2, y = 7

B. X = -13, y = 7

C x = -2/3, y = 12*2/3

D. x = 5, y = 1

Answers

Answer:

A

Step-by-step explanation:

6x+3y=33 <=> 2x+y=11<=>4x+2y=22 (1)

4x+y=15 (2)

(1)-(2) <=> y=7

Answer:

A x = 2, y = 7

Step-by-step explanation:

6(2)+3(7)= 33

4(2)+(7)=15

This net folds into the cube shown beside it. Which letters will be on the front and top?

Answers

Answer:

f

and

c

the top is f and front is c

Step-by-step explanation:

f and c

E and C

Step-by-step explanation:

E on the front

C on the top

I hope it helps

How can I find a rule in a math question

Answers

Answer:

Step-by-step explanation:

How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear function, plugging any two sets of values from the table into the equation y = ax + b, where a and b are constants to be found and x, y are values taken from the table. Solving the two equations obtained simultaneously gives the values of a and b and hence the required rule.

Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.

What is (2x-7y)^2 simplified

Answers

Answer:

4x² - 28xy + 49y²

Step-by-step explanation:

(2x - 7y)²

= (2x - 7yy)(2x - 7y)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x - 7y) - 7y(2x - 7y) ← distribute parenthesis

= 4x² - 14xy - 14xy + 49y² ← collect like terms

= 4x² - 28xy + 49y²

Still won his election by a margin of 7 to 2 his opponent had 3492 votes how many votes did Steve have
Help ASAP

Answers

Answer:

12,222 votes

Step-by-step explanation:

7 x 3492= 24,444

24,444/2= 12,222

Steve has 12,222 votes.

Liza bought 5.035 kg of chicken. Write its weight in words.

Answers

Answer:

five point zero three five

Find the slope and the y−intercept of the line in the graph.



The slope is .

The y−intercept is .

Please be very specific
Very confused
Help please??

Answers

Answer:

Step-by-step explanation:

Using the slope-intercept form:

y=mx+b

In the equation y=mx+b, b is the coordinate on the y-axis where the graph crosses the y-axis and m denotes the slope of the line. The x and y represents all the (x, y) order pairs that graph points.

y=3x+4

Substitute x for 0 to find the pair (0, Y). y=3(0)+4 Since 3 times 0 is 0, y will equal 4.

So put 4 under the 0.

y=3(-1)+4 ⇒-1,1 y=1

y=3(0)+4 ⇒0,4 y=4

y=3(1)+4 ⇒ 1, 7 y=7

y=3(2)+4 ⇒ 2, 10 y=10

y=3(3)+4 ⇒ 3, 13 y=13

a) ( -14) + 5 + 17 + 14

Answers

Answer:

= 22 is the answer, if I got it wrong I tried to help

Answer:

22

Step-by-step explanation:

Please give BRANIEST and heart!

Hi there- kinda confused on this

Answers


D) 5 is the answer

Assuming AE and CE are the same length you would set the two equations to each other: 8x+7=11x-8

Then solve for x:
Subtract 8x from both sides and add 8 to both sides looking like: 15=3x
Divide by 3 to get x by itself and you get x =5
Your work is literally on the internet
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