A rectangle has an area of 243 square centimeters. Its length is 3 times its width. What are the dimensions of the rectangle?

Answers

Answer 1
Answer:

Length - 27 cm

Width  - 9 cm

Step-by-step explanation:

Here we go (hope this helps),

The area of the rectangle is 243. To get area, you do length x width. Your equation will look like this

3x (x) = 243

Simplify this using PEMDAS

3x^2 = 243

Next, you divide both sides by 3 to undo the times 3

x^2 = 81

Then, you take the square root of both sides to undo the squared symbol

x=9

Using this, you know the width is 9. Since the length is 3x the width, you know that 3 x 9 is 27 and you can clearly see that the dimensions are 9 and 27!

Have a great day! Hope this could help!


Related Questions

A cylindrical can of cocoa has the dimensions shown at the right.
What is the approximate area available for the label?
9 2

Answers

Answer:

What are the dementions? 9 and 2?

That would be 9*3.14*4 = 133.04

~ 133.04 units cubed

Step-by-step explanation:

Here a brainliest if you get it right

Answers

Answer:

D.(2, 2)

Step-by-step explanation:

Staring point = (2, -4)Since he moved 6 units up, so, there will be change in only y-coordinate of the starting point and x-coordinate will remain unchanged.End point of the segment = (2, - 4 + 6) = (2, 2)

PLEASE HELP!! What is the probability that the top three finishers in the contest will all be seniors?

Answers

Using the hypergeometric distribution, it is found that there is a 0.1538 = 15.38% probability that the top three finishers in the contest will all be seniors.

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

In this problem:

There are 14 players in total, hence N = 14.Eight are seniors, hence k = 8.Three will be taken from the sample, hence n = 3.

The probability that all of them are seniors is P(X = 3), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,14,3,8) = \frac{C_{8,3}C_{6,0}}{C_{14,3}} = 0.1538[/tex]

0.1538 = 15.38% probability that the top three finishers in the contest will all be seniors.

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See your levels
Deb started doing yard work at 9:52 A.M. After working for 1 hour and 48 minutes, she
stopped to have lunch. It took her 36 minutes to eat lunch.
When did Deb finish eating lunch?
12:16 P.M.
12:32 P.M.
1:16 P.M.
1:32 P.M.
Submit
Id
Conany
Rina
Hein center
ser des
Toll

Answers

You add 1 hour and 46 min to 9:52am and then add another 36min
So deb finished eating her lunch at 12:16pm

The correct answer is 12:16 P.M.

How to find when did Deb finish eating lunch ?

According to the problem,

Deb started doing yard work at 9:52 A.M.After working for 1 hour and 48 minutes, she stopped to have lunch.It took her 36 minutes to eat lunch.

Time at which Dev finishes her lunch =

                  9:52 A.M.  + ( 1 hour and 48 minutes +  36 minutes )

                =   11:40 A.M. +  36 minutes = 12 : 16 P.M.

∴ Deb finish eating lunch at 12:16 P.M.

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the heights of a group of
people are normally distributed
with a mean of 62 inches and a
standard deviation of 1.5. what
percent of the group is between
62 and 65 inches tall?

Answers

The percentage of the group that is between 62 and 65 inches tall is 47.725%

How to determine the probability?

The given parameters are:

Mean, μ = 62Standard deviation, σ = 1.5

Calculate the z-scores for x = 62 and x = 65 using:

z = (x - μ)/σ

So, we have:

z = (62 - 62)/1.5 = 0

z = (65 - 62)/1.5 = 2

The percentage is then represented as:

P(62 < x < 65) = P(0 < z < 2)

Rewrite as:

P(62 < x < 65) = P(z < 2) - P(z < 0)

Evaluate

P(62 < x < 65) = 0.47725

Express as percentage

P(62 < x < 65) = 47.725%

Hence, the percentage of the group that is between 62 and 65 inches tall is 47.725%

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someome help me plsssssssssssssssssss

Answers

Volume formula is WxHxL so 3/2 times 4 times 1/2 is 3, the answer is 3 cm^3

Two numbers have a sum of 23 and a difference of 5. What is the smaller of the two numbers.

Answers

Answer:

9

Step-by-step explanation:

Two numbers have a sum of 23 and a difference of 5. What is the smaller of the two numbers.

x + y = 23

x - y = 5

(23 - 5) : 2 = 9

9 + 5 = 14

check

14 + 9 = 23

14 - 9 = 5

Answer: 14, 9

Step-by-Step Explanation:

Let larger no. be ‘x’
Let smaller no. be ‘y’

Sum (x + y) = 23
Difference (x - y) = 5

Therefore,
x + y = 23 => Eq. 1
x - y = 5 => Eq. 2

On Adding Eq. 1 and 2, we get :-
=> 2x + 0 = 28
=> 2x = 28
=> x = 28/2 = 14

Substitute x = 14 in Eq. 1 :-
=> x + y = 23
=> 14 + y = 23
=> y = 23 - 14 = 9

Therefore, x = 14 ; y = 9

Hence,
Larger number = 14
Smaller number = 9

QUICK PLEASE HELP!FOR 30 POINTS TY Marisol drives 14 miles to a movie theater. She stops after 6.5 miles to pick up
at her house. Then she continues to drive to the movie theater. Marisol wants to know the
distance she and Alicia travel together.
Let y be the distance in miles from Alicia's house to the movie theater.
»Which equations can you solve to find the value of y?
Choose ALL that apply.
y=14-6.5 y +6.5 = 14
O What is the distance from Alicia's house to the movie theater?
? miles

Answers

Answer:

equation 1, y = 14 - 6.5

From Alicia's house, the movie theater is 7.5 miles away

Step-by-step explanation:

the total miles is 14

Marisol already drove 6.5 so the remaining amount of miles to the movie theater is 14 - 6.45

Describe the graph that is produced by the equation (x - 7)2 + (y + 5)2 > 25.
The conic represented by the equation is a(n)
The solution set is
v include the boundary.

Answers

The conic section which is represented by the equation is a circle. The solution set of this equation are (7.0),(2.-5),(7.-10),(12.-5).

What is the equation of circle?

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here (h,k) is the center of the circle and (r) is the radius of the circle.

The given inequality equation is,  

[tex](x - 7)^2 + (y + 5)^2 > 25\\(x - 7)^2 + (y + 5)^2 > 5^2[/tex]

This equation is similar to the equation of circle. Thus, the conic represented by the equation is a circle. The center and radius of this circle is,

[tex](h,k)=(7,-5)\\r=5[/tex]

The solution set of this circle is the all the point which lies on this circle. In the attached graph, the solution set is shown which are (7.0),(2.-5),(7.-10),(12.-5).

Thus, the conic section which is represented by the equation is a circle. The solution set of this equation are (7.0),(2.-5),(7.-10),(12.-5).

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Answer:

A circle with a center (7,–5) and d unbounded and does not

Step-by-step explanation:

The conic represented by the equation is a(n)

✔ circle with a center (7,–5)

.

The solution set is

✔ unbounded and does not

include the boundary.

8.EE.1.2

Which expressions have a value that is between 9 and 10. Select all that apply.

A.) √80

B.) √89

C.) √101

D.) 3 √725

E.) 3 √750

F.) 3 √999

G.) 3 √1010

Answers

Considering that the square root of 9 is of 81 and of 10 is of 100, we have that the expression that has a value between 9 and 10 is given by:

B.) √89

E.) [tex]\sqrt[3]{750}[/tex]

F.) [tex]\sqrt[3]{999}[/tex]

How the square root of a number is used to solve this question?

We suppose numbers n and m, with square roots given, respectively, by n² and m².

Then, the square roots of all numbers between n² and m² have values between n and m.

In this problem, the square roots are given by:

9² = 81.10² = 100.

Hence, the square root of all values between 82 and 99 are values between 9 and 10, thus option B is correct.

As for the cubic root, we apply the same logic and have that:

9³ = 729.10³ = 1000.

Hence options E and F are also correct, as the values between 730 and 999 have cubic roots between 9 and 10.

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What is the volume of a sphere with a radius of 15
inches?
235.5
113040.0
14130.0
1766.25

Answers

Answer:

C) V = 14130 in³

Step-by-step explanation:

Volue of a sphere: 4/3πr³

π = 3.14r = 15 in.

Substitute the values from above into the formula to find the volume of the sphere:

V = 4/3πr³

V = 4/3*3.14*15³

V = 4/3*3.14*3375

V = 4/3*10597.5

V = 14130 in³

Hope this helps!

Given m n, find the value of x and y.

Answers

Answer:

X= 38°

Y = 142°

Step-by-step explanation:

let the angle vertically opposite to 142° = w

therefore, w= 142° ( vertically opposite angles are equal)

hence,x+ w =180° ( two interior angles sum up to 180°)

x+ 142° = 180°

x= 180 - 142 = 48°

X = 38°

then calculating for Y

X + Y = 180° ( angles on a straight line sum up to 180°)

38+Y = 180

Y = 180- 38

Y = 142°

we're done here...please don't forget to rate and mark brainliest!!!

How many differnt flags with 3 stripes are possible, using the colours red (R), blue (B) and yellow (Y)? Each colour can be used obly once in each flag.

Answers

Answer:

6

Step-by-step explanation:

3 x 2 x 1

first strip you can have 3 options

second only 2 options left

last one, only 1 choice

RBY

RYB

BRY

BYR

YRB

YBR

Answer:

6 flags

Step-by-step explanation:

The flag must have stripes of 3 different colors.

Ways to arrange each stripe :

Stripe 1 = 3Stripe 2 = 3 - 1 = 2Stripe 3 = 1

Stripe 1 x Stripe 2 x Stripe 3

3 x 2 x 16 flags

helpppppppppppppppppppp

Answers

Answer:

see explanation

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 4, - 7 ) → (4, - 7 )

PLEASE ASAP this is due in 10 minutes

Answers

Answer: 10•12 = 120

I won’t explain it since you are in a hurry

Find the value of x.
148°
Гу
х
x = [? ]°
=

Answers

I think it’s 32 but I’m not sure. Because 180-148=32

need help with this one if someone doesnt mind helping. thank you!

Answers

Answer:

wdymm?

Step-by-step explanation:

Question 4 of 10
Which of the following is the equation of a line in slope-intercept form for a
a
line with slope = 2/3 and yintercept at (0, -2)?

Answers

Answer:

A is in line with slope =2/3 and yintercept at (0,-2)

how do i Solve the inequality:

n/3>1

Answers

Answer:

n>3

Step-by-step explanation:

n/3>1

3(n/3)>1(3)

n>3

Hey could someone help me with this question?

Answers

Answer:

u = 5 m/s

Step-by-step explanation:

Given

s = 20 mt = 2 sa = 5 m/s²

Required Formula

s = ut + 1/2at²

Solving

20 = 2u + 1/2(5)(2)²20 = 2u + 102u = 10u = 5 m/s

A basketball player shoots the ball with an initial velocity of 15.8 ft./sec. at an angle of 43.8° with the horizontal. To the nearest tenth, find the initial horizontal component of the vector that represents the velocity of the ball.

A) 4.4 ft./sec.
B) 10.9 ft./sec.
C) 11.4 ft./sec.
D) 15.2 ft./sec.

Answers

The initial horizontal component of the vector which represents the velocity of the ball is; Choice C; 11.4 ft./sec.

What is the horizontal component of the ball's velocity?

It follows from the task content that the velocity vector of the ball has magnitude 15.8 ft./sec. and is at an angle of 43.8° with the horizontal.

On this note, it follows from vector resolution that the horizontal component of the ball's velocity is;

V(x) = V cos 43.8⁰

V(x) = 11.4 ft./sec.

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Please! Help

John is collecting data on the number of spots on ladybugs. He records it in this table.

2 7
5 4
3 3
5 5
6 5
The mean of the data is , and the median is .

Answers

Answer:

the mean is 4.5

the median is 5

Step-by-step explanation:

Grogg typed the following $1000$ expressions into his calculator, one by one: \[\sqrt{1}, \sqrt{2}, \sqrt{3}, \sqrt{4}, \dots, \sqrt{999}, \sqrt{1000}. \]how many times will grogg's result be an integer?

Answers

Since 30² = 900 and 40² = 1600, between 30 and 40 of the numbers Grogg enters will reduce to integers. Now just find which count is correct. We don't have to look far:

31² = 961

32² = 1024

so there 31 of the outputs of √1, √2, √3, ..., √1000 are integers.

Grogg will result to integers  with  31  outputs from √1, √2, √3, ..., √1000 .

What are integers?

An integer serves as the whole number which can be a positive or negative numbers , such as 6, 9, but it cannot be a fraction.

since, she is starting from √1, √2, √3, up to √1000 , then we know that

31² = 961, then we can find the correct count which is 31. so if she is to input those number into square root one after the other , she will have 31 count.

Therefore, Grogg will result to integers  with  31  outputs from √1, √2, √3, ..., √1000 .

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Please help with math questions.​

Answers

[tex]\bold{ANSWER:}[/tex]
x = 2

[tex]\bold{EXPLANATIONS:}[/tex]

A frozen yogurt shop offers frozen yogurt in the sizes shown.

The cost per cubic inch is $0.10 for each container’s contents. What is the difference between the costs of yogurt in the two containers if each is filled with yogurt? Round to the nearest cent.

Cost of the yogurt in cylinder: $
____

Cost of the yogurt in cone:$
____
Difference in cost:$
____

Answers

The cost for the cylindrical container will be $2.8 and for the conical container, $0.94 and the difference is $1.86

What is volume?

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like radius length in the case of cylinders and cones.

Given that:-

The cost per cubic inch is $0.10 for each container’s contents

The volume of a cylinder:-

V   =   πr²h

V   =   π  x  (1.5)²  x  4  =  28.27 cubic inches

So the cost will be = 28.27  x   0.10  =   $2.8

The volume of the cone:-

V   =  (1  /  3  ) πr²h

V   =  (1  /  3  )   π  x  ( 1.5 )²  x  4 =  9.42 cubic inches

The cost will be =  9.42   x   0.10  = $0.94

The difference between the two costs will be:-

=    $ 2.8   -    $0.94

=   $1.86

Therefore the cost for the cylindrical container will be $2.8 and for the conical container, $0.94 and the difference is $1.86

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Answer: cost for the yogurt cylinder 2.83 cost of the yogurt  cone 0.94 different cost 1.89

Step-by-step explanation:

use formula to find the volume

then multply both 0.10

round to the nearest hundredth

then subtract

someone help me please help please please help me asap

Answers

Answer:

50%

Step-by-step explanation:

The given word :

E A C H

There are 2 vowels.

Probability (vowel) = No. of vowels / Total lettersP (vowel) = 2 / 4P (vowel) = 1/2 = 0.5P (vowel) = 50%

A represents Mr. Mole's altitude relative to the ground (in meters) after t
minutes.
A=-2.3t-7A=−2.3t−7A, equals, minus, 2, point, 3, t, minus, 7
How fast did Mr. Mole descend

Answers

Using the slope of the linear function, it is found that Mr. Mole descends 2.3 meters per minute.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, Mr. Mole's altitude in meters after t minutes is given by:

A = -2.3t - 7.

The rate of change is the slope of m = -2.3, hence, Mr. Mole descends 2.3 meters per minute.

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Where does the line with the equation y=4x-7 cross the y axis?

Answers

Answer:

-7

Step-by-step explanation: an easy way to find the y-intercept (the point at which the line crosses the y axis) is by identifying what part of the equation does not have an x value. in this problem, it would be -7. if it were to not have a number that is followed by an x the y-intercept is 0.

hope that helps!

which expressions is equivalent to 4^3 x 4^x

Answers

Answer:

Step-by-step explanation:

256x

braden scored 9 fewer points on his math test than ava did if ava scored an 86 what was bradens score

Answers

Subtract 9 from 86


86 - 9 = 77

Answer : Braden’s score was 77

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