1. Natoy's rectangular swimming pool has the length of 3m more than thrice its
width. What are the dimensions of the pool if it has an area of 216m2?
Width (w)
Length (/) = 3w + 3

Answers

Answer 1

Answer:

Step-by-step explanation:

Given

Natoy's rectangular swimming pool has the length of 3m more than thrice its

width.

Width=w

Length =3w+3

So

Area of the rectangular swimming pool=length×width

216=(3w+3)×w

216=3w^2+3w

3w^2+3w-216=0

3(w^2+w-72)=0

W^2+w-72=0

W^2+(9-8)w-72=0

W^2+9w-8w-72=0

W(w+9)-8(w+9)=0

(W+9)(w-8)=0

Sotwo value of w are 8,-9

We take positive value for rectangular swimming so we take w=8m

Width=8m

Length=3×8+3

= 24+3

=27m


Related Questions

clare mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate
han mixes 1 2/3 cups of water with 1/4 cup of orange juice concentrate
whose orange juice mixture taste stronger? explain or show your reasoning

Answers

Answer:

Clare

Step-by-step explanation:

Clare ~ 2 1/2 divided by 1/3 = 7.5

Han~ 1 2/3 divided by 1/4 = 6.6666

Clares is larger so clare's was stronger

80/100*4.5 (percentage)

Answers

Answer:

0.036%

Step-by-step explanation:

Answer:

0.036%

Step-by-step explanation:

80/100 ⋅ 4.5 = 360% because...

80/100 = 80% ( wait that's not the reason. )

Here, 80/100 = 0.8 ⋅ 4.5 = 3.6 and if you move

the decimal point two times to the left, you get 0.036%

Hope this helps! <3

Sort all the numbers into the correct boxes.
2, 3, 8, 9, 11, 12, 15, 18
Even
Odd
Not a Multiple
Prime
Multiple
of 4
Not
Prime
of 4

Answers

Answer:

multiple of 4 : 8, 12

not a multiple of 4 : 2 , 18

prime : 3, 11

not prime : 9, 15

Step-by-step explanation:

First you need to know even number.

even number is (2,8,12,18 )

next odd number (3,9,11,15)

after that find number that is multiple of 4.

multiple of 4 is 4, 8,12,16,20,24,28 and so on

so its the number of multiple of 4 is ( 8 and 12)

and the number that is not a multiple of 4 is (2,18)

next odd number, odd number is ( 3,9,11,15)

next you should know prime number,

prime number is 3, 5,7,11,13,17,19 .....

so the answer for prime number for odd number is

( 3 and 11)

next is not prime number (9 and 15)

Please help I suck at math and I have no clue how to do this!!

Answers

Answer:

a- increase slowly

b- decrease quickly

c-increase quickly

d-decrease slowly

Answer:

A: increases slowly

B: decreases quickly

C: increases quickly

D: decreases slowly

Step-by-step explanation:

What is the volume of a cylinder with a diameter of 30 cm and a height of 40 cm? Use 3.14 for pie. Round to the nearest 10th.

Answers

Answer:

28,260.0 cm^3

Step-by-step explanation:

The volume of a cylinder uses the equation π[tex]r^{2}[/tex]h.To find the radius, divide the diameter by two, getting r=1/2(30)=15. Plug in all numbers getting:

3.14(15^2)(40)

=3.14(225)(40)

=28260

Answer:

V ≈ 28,260 cm³

Step-by-step explanation:

V = πr²h where,

V = volume

r = radius

h = height

π = 3.14

To find the value of the radius, we take half of the diameter.

1/2(30) = 15

Now that we have all the values, we plug them into the equation and round.

V = (3.14)(15)²(40) = 28,260

V = 28,260

steve saw 313 birds during a bird-watching trip to Yellowstone National park. he observes 15 more trumpeter swans than sandhill cranes. he saw twice as many mountain chickadees as ducky grouses. how many birds of each type did steve observe if he saw half as many trumpeter swans as ducky grouses

NEED ASAP!

Answers

Answer:

Step-by-step explanation:

328

actually never mind i dont need help on this

Answers

Wait do you need help or no

please find the value of x!

Answers

Answer:

the equation would be 9x+1=30

Which is a reasonable estimate for the area of a circle with a diameter of 1 meter?

Answers

A≈0.79m² (Hope this helps)

Which of the ratios below is equivalent to 1:8? Select all that apply.
A) 16:2
B) 3:24
C) 4:12
D) 5:40
E) 7:56

Answers

Answer:

B. 3:24, D. 5:40 E.7:56

Step-by-step explanation:

3:24 = 1:8 (Dividing by 3)

5:40 = 1:8 (Dividing by 5)

7:56 = 1:8 (Dividing by 7)

The ratios that are equivalent to 1:8 are:

3:24, 5:40, and 7:56.

Options B, D, and E are the correct answer.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

A)

16:2

= 16/2

= 8/1

= 8:1

B)

3:24

= 3/24

= 1/8

= 1:8

C)

4:12

= 4/12

= 1/3

= 1:3

D)

5:40

= 5/40

= 1/8

= 1:8

E)

7:56

= 7/56

= 1/8

= 1:8

Thus,

3:24, 5:40, and 7:56 are equivalent to 1:8.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ2



LOOK AT THE PICTURE PLEASE ANSWER FAST

Answers

The answer is B. Would you like an explanation why?

#kingofdrill.
Brainlliest for one of the people who tell me what kingVon's First song is

Answers

thx for the free points ig

Answer:

Crazy Story

Step-by-step explanation:

Crazy Story.02  and the one on lildruky

what is the difference between 3/8 and 61/64 redosed

Answers

Answer:

Distance between points =  [tex]37/64\\[/tex]

Step-by-step explanation:

This is a relatively simple problem. Here we have to find the distance between two points on the number line.

The given two numbers are fractions and to find the difference between these two numbers, we have to make their denominators common.

One has denominator as 8 and the other as 64.

We make the common denominator as 64.

Then the fractions 24/64 are 61/64  and .

The distance between the two points = 61/64  - 24/64  

                                = 37/64

Step-by-step explanation:

How many roots does the function have? f (x)


3.37 + 3x5 44x3 + 11x + 40


5


15


7


3​

Answers

Answer:

15

Step-by-step explanation:

fgbn

Answer:

I think it’s 3

Step-by-step explanation:

Please give me brainliest

7 1/8 convert into a decimal and put the steps

Answers

Answer:

Step 1: Multiply the whole number by the denominator: 7 × 8 = 56.

Step 2: Add the product you got in Step 1 to the numerator: 56 + 1 = 57.

Step 3: Divide the sum from Step 2 by the denominator: 57 ÷ 8 = 7.125.

Step-by-step explanation:

Answer:

7.125

Step-by-step explanation

Hhhhhhhhhhhheeeeeeeellllllpppppp

Answers

Don't know the answer sorry

Answer:

1.5

Step-by-step explanation:

50 meters in 27.5 seconds

Answers

Answer:

k lol

Step-by-step explanation:

1.82m/second or 20/11 / sec /27.5

In ΔRST, \text{m}\angle R = (11x+3)^{\circ}m∠R=(11x+3) ∘ , \text{m}\angle S = (x+15)^{\circ}m∠S=(x+15) ∘ , and \text{m}\angle T = (2x+8)^{\circ}m∠T=(2x+8) ∘ . Find \text{m}\angle R.M∠R.

Answers

Answer:

<R = 124°

Step-by-step explanation:

Note that the sum of angles in a triangle is 180degrees. In a triangle RST

Given

∠R=(11x+3)°

∠S=(x+15)°

∠T=(2x+8)°

Required

∠R

First we need to get the value of x;

since <R+<S+<T = 180

11x+3+x+15+2x+8 = 180

11x+x+2x+3+15+8 = 180

14x+26 = 180

14x = 180-26

14x = 154

x = 154/14

x = 11°

get <R

Since <R = 11x+3

<R = 11(11)+3

<R = 121+3

<R = 124°

Hence the measure of <R is 124°

The diagram shows ∆QRS. Which term describes point T?
A. circumcenter
B. Orthocenter
C. Incenter
D. Centroid​

Answers

Answer:

Step-by-step explanation:

A

The term which describes the point T in triangle QRS is option A. Circumcenter.

Here, given is a triangle QRS.

It is clear that three lines are drawn and all the three lines intersect at the point T.

Each of the line is perpendicular to each of the sides of the triangle.

And each of the line bisects each of the sides, that is sides are being divided in to half.

So T is the intersecting point of all the perpendicular bisectors of the sides, which is the definition of circumcenter.

Thus, T is the circumcenter of the triangle QRS.

Learn more about Circumcenter here :

https://brainly.com/question/28912364

#SPJ7

Evalute the prooblem

Answers

Answer:

7

Step-by-step explanation:

4 is half of 8 so if s is 4 then the fraction is 8/4. simplified it is 2/1, and that is 2 wholes so 2. the equation rewritten is 9-2 and that = 7.

The answer is 7.

First, substitute the S for the 5 and you will have 9-8/4.
We know that fractions is just division so divide 8 and 4 to get 2. Then, subtract 2 from 9 to get 7.

Hope this helps!

For a soccer game, Mr Morant prepared 32 hot dogs. He sold 1/2 of the hot dogs to the fans. He sold 1/4 of the hot dogs to the coaches. How many hot dogs were left?

Answers

Answer:

it is nothing

Step-by-step explanation:

1-1=2

In the diagram below, find the value of x to the nearest hundredth

Answers

Answer:

x = √324 = 18

Step-by-step explanation:

x shows up only in the second problem, so I'll focus on that problem.

This is a right triangle because one of the three angles is 90 degrees.

Thus, the Pythagorean Theorem applies:  x^2 + 24^2 = 30^2, or

x^2 = 900 - 576 = 324

Then x = √324 = 18

Fill in the missing numbers in these equation
(-2) . (-4.5)= ?
?=

Answers

9
Multiplying two negatives makes it positive.

PLEASE HELP ! i need to get this done soon please help

Answers

Answer:

2. 7

Step-by-step explanation:

f(-3) = -(-3) + 4

= 3 +4

= 7

3 is 7 , 4 is negative 5 . 5 is negative 6 . 6 is negative 13 and 7 is 7

There are Z fishes in an aquarium. 1/4 of the fish are angelfish. How many fish are angelfish.

Answers

Answer:

Does it say how many fishes inall?

Step-by-step explanation:

ABC is reflected over the x-axis what will be the coordinates of c (-3, - 1)
(-1,-3) (1-3) (3,1)

Answers

Answer:

(-3,1)

Step-by-step explanation:

(x,y)---->(x,-y)

(-3,-1)--->(-3,1)

Which value would make the statement true?

2/? > 4/12

A. 4
B. 6
C. 12
D. 24

Answers

Answer:

A

Step-by-step explanation:

4 divided by 12 is 0.3333 so anything you do has to be more than 0.3333 and 2 divided by 4 is .5 which is more then 0.333. Hope this helps

Find the sum of the complex numbers.
(3 + 5i) + (10 + 71)
O A. 13 + 121
O B. 7 + 121
O
C. 13 + 2i
O D. 7 + 21

Answers

Answer:

A

Step-by-step explanation:

(3 + 5i) + (10 + 7i) =

3 + 5i +10 + 7i =

3 + 10 + 5i + 7i =

13 + 12i

what is f(x)=5x-12 what is f(2)?

Answers

Answer:

f(2) = -2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 5x - 12

f(2) is x = 2

Step 2: Solve

Substitute:                         f(2) = 5(2) - 12Multiply:                             f(2) = 10 - 12Subtract:                            f(2) = -2

Answer:

f ( 2 ) = - 2

Step-by-step explanation:

Step 1:

f ( x ) = 5x - 12            Function

Step 2:

f ( 2 ) = 5 ( 2 ) - 12          Input x

Step 3:

f ( 2 ) = 10 - 12        Multiply

Answer:

f ( 2 ) = - 2

Hope This Helps :)  

Celina and Richard spend a certain amount of money from their money box each month to buy plants.

The table shows the relationship between the amount of money (y) remaining in Celina's money box and the number of months (x):

Function 1:

Numbers of Month Amount Remaining (dollars
(x) (y)
1 20
2 18
3 16
4 14
The equation shows the relationship between the amount of money, y, remaining in Richard's money box and the number of months, x:

Function 2:
y = −6x + 20

Which statement explains which function shows a greater rate of change? (1 point)

A.) Function 2 shows a greater rate of change, because Richard spends $20 each month and Celina spends $6 each month.
B.) Function 1 shows a greater rate of change, because Celina spends $6 each month and Richard spends $14 each month.
C.) Function 1 shows a greater rate of change, because Celina spends $2 each month and Richard spends −$6 each month.
D.) Function 2 shows a greater rate of change, because Richard spends $6 each month and Celina spends $2 each month.​

Answers

Answer:

Function 2 shows a greater rate of change, because Richard spends $6 each month and Celina spends $2 each month.

Answer:

D) took test

Step-by-step explanation:

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