We need a rock garden with a perimeter of 12 feet and an area of 8 square feet


Length: Feet
Width: Feet​

Answers

Answer 1

Answer:

Length: 4 feet

Width: 2 feet

Step-by-step explanation:

The only possibilities that could get an area of 8 feet are 4 x 2 and 8 x 1

However, it has to be 4 x 2 because the 8 x 1 dimension won't have a perimeter of 12 feet.

The dimensions of 4 x 2 will have an area of 8 square feet, since 4(2) = 8

It will also have a perimeter of 12 feet because 4 + 4 + 2 + 2 = 12

So, the length is 4 feet and the width is 2 feet


Related Questions


Please help solve this!

Answers


By dropping a perpendicular from the top of the isosceles triangle to the base and using the Pythagorean Theorem we quickly determine that the height of the triangle is 4.

Therefore the area of the isosceles triangle is

6•4/2=12

However, we can split the isosceles triangle into three separate triangles indicated by the red lines in the diagram below. Because the radius always meets a tangent at a right angle the area of each triangle will be the length of the side multiplied by the radius of the circle. So the total area of the isosceles triangle is given by

6r/2+2•5r/2=8r=12
8r=12
r=12/8
r=3/2

Find the unknown number 10% of what number is 300

Answers

Answer:3,000

Step-by-step explanation:

Answer:

3000

Step-by-step explanation:

300    x

10     100

300x100

30,000

30,000/10

3000

Without performing the calculations, which expression equals the greatest value?
A)
2x (3-5)
B)
3x (
3-5)
)
5x (3-5)
D)
7x (3-5)

Answers

A 2x(3-5)

due to pemdas whatever is inside the parentheses goes first. it’s going to be a negative. if you make the outside number greater, the value of the overall number will become less because negative numbers are less in value the higher they are

4. The teacher recommends that students read for 20
minutes each night. How many pages will the
student complete?
proportional relationships

Answers

Assuming that the student reads 1/2 a page per minute, they would read 40 pages a night.

Which one is a unit rate?
sk
5 pounds in 2 bags
15 miles per gallon
$8.00 for 3 boxes of oranges
22gallons of water in 5 days

Answers

number 2- 15 miles per gallon.
the key word in this example is per, which is a key word for unit rate.
hope this helps:)

Select the correct answer.
Does the equation below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
y = 3:2 - 95 + 20
OA neither a relation nor a function
OB. both a relation and a function
OC function only
OD. relation only

Answers

Answer:

B. both function and relation

Step-by-step explanation:

B both a relation and function

Function A and Function B are linear functions. Compare the two functions and choose all that are correct. Can someone help?

Answers

Answer:

(b) and (c) are true

Step-by-step explanation:

Given

Function A and B

First, calculate the slope of A

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{24 - -21}{8- -7}[/tex]

[tex]m = \frac{45}{15}[/tex]

[tex]m =3[/tex]

The equation of function A is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 3(x - 8) + 24[/tex]

[tex]y = 3x - 24 + 24[/tex]

[tex]y = 3x[/tex]

The general form of a function is:

[tex]y = mx + b[/tex]

Where [tex]m = slope[/tex] and [tex]b = y\ intercept.[/tex]

This implies that:

[tex]Slope = 3[/tex]

[tex]Y\ intercept = 0[/tex]

For function B:

[tex]y = 4x - 3[/tex]

[tex]Slope = 4[/tex]

[tex]Y\ intercept = -3[/tex]

By comparison:

(b) and (c) are true

A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has at least 3 children under the age of 21? (Express your answer as a percent, Please include the % symbol.)

Answers

Answer:

23% probability the family has at least 3 children under the age of 21.

Step-by-step explanation:

If a family is selected at random, what is the probability the family has at least 3 children under the age of 21?

15% have three children under the age of 21

5% have 4 children under the age of 21

3% have 5 or more children under the age of 21.

So:

15% + 5% + 3% = 23%

23% probability the family has at least 3 children under the age of 21.

When 2 dice are rolled, find the probability of getting a sum greater than 8.

Answers

Answer: 10/36

When a pair of fair dice are rolled , the total possible cases are (6 × 6) = 36. Out of these 36 cases the following 10 cases are favors(giving the sum > 8) for the happening of the event . These 10 cases are (3, 6), (4, 5), (4, 6),(5, 4), (5, 5), (5, 6) , (6, 3), (6, 4), (6, 5), & (6, 6)

Step-by-step explanation:

6×6=36 possible outcomes and only 15 possible outcomes summing 8 or more than 8.

Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.

The function .... is symmetric with respect to what ?

Answers

Answer:

Reflection symmetry, lines of symmetry, mirror symmetry, mirror-image symmetry, are symmetry with respect to reflection. That is, a figure that does not change after undergoing reflection has re-symmetry

Is this table linear or not?

Answers

Yes it’s a straight line wh no curves

Please help

Look at picture and match

Answers

Answer:

It is the same order

Step-by-step explanation:

A=1/2bh triangle

A=bh parallelogram

A=1/2(b1 + b2)h trapezium

Answer:

Step-by-step explanation:

A=1/2bh =triangle

A=bh= parallelogram.

A=1/2(b1-b2)h=trapezoid.

WILL MARK BRAINLIEST! Solve for x and each angles measure. Only asking for #5. Thank you!

Answers

Answer:

Step-by-step explanation:

2x + 3x + 135 = 180                            Every triangle has 180 degrees

5x + 135 = 180                                    Subtract 135 from both sides.

5x = 45                                               Divide by 5

x = 9

2x =                  18

3x =                  27

Other angle   135

Total              280

please help me please help me please help​

Answers

A is august and B is October

Answer:

a) September; b)October

Step-by-step explanation:

Just do the calculations, for example: 71+(-293). You will see September has a drop less 210 dollars and October has the biggest change of sales.

write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. y=a(x-h)^2+k
vertex:(4,-1) point:(2,3)

Answers

Answer:

y =  ( x − 2 ) ^ 2 + 3

y =   x^2 − 4x + 7

Step-by-step explanation:

y = a ( x − h ) ^ 2 + k

where vertex is (h,k) = (4,-1)

h=4, k=-1

y = a ( x − 4 ) ^ 2 - 1

sub ( 2,3 )

3 = a (2 - 4)^2 - 1

a=1

y = 1 ( x − 2 ) ^ 2 + 3

y =  ( x^2 − 4x + 4 )  + 3

y =   x^2 − 4x + 7

Help

Which product are greater than 2 and 5\6? Select all that apply

Answers

Answer:

B, C, & E

Step-by-step explanation:

B C AND E
that’s the answer g

‼️DIMENSIONAL ANALYSIS‼️

‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK +STEPS!! Thx!

Answers

Well there’s 24 hours in a rotation.. and one rotation is approximately 40075km

40075km to miles is 24901.451 miles

And we need miles per hour

So divide 24901.451 by 24

= 1037.56 mph (rounded to nearest tenth)

builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. What is the average size of the lots?

Answers

Answer:

I think she put it in the 2nd place because it has the smallest amount of x's , and 1 and 3 has more

Look at point w,x,y,and z on the number line

Answers

Answer:

u need toADD THE PITRUE

Step-by-step explanation:

Can someone please help meeeee

Answers

Answer:

45°

Step-by-step explanation:

The angle with measure of 9x and the angle with measure of 3x are supplementary

9x + 3x = 180°

12x = 180 divide both sides by 12

x = 15

The angle with measure of 9x and angle a are supplementary as well

9x + a = 180

9×15 + a = 180

135 + a = 180 subtract 135 ftom both sides

a = 45°

are z^3 and 3z equivalent expressions? explain.​

Answers

Answer:

no, they are not.

Step-by-step explanation:

3z means a number multiplied by 3

so if z is 2, 3(2) = 6

but z^3 means z multiplied by z, and then multiplied by z again.

so if z is 2, it's 2x 2 = 4 x 2 = 8

let me know if you have questions

The two expressions are not equivalent to each other.

What are equivalent expressions?

Equivalent expressions are expressions that are equal and synonyms to each other when used differently with various mathematical concepts.

From the expressions given:

z^33z

The first expression is a variable (z) raised to a power of 3. The power is also called an exponent.The second expression is a variable(z) that has a coefficient of 3

Let us assume that:

z^3 = 3z

Now, let's replace 2 for the value of z on both sides, we have:

(2)^3 = 3(2)

8 ≠ 6

Learn more about equivalent expressions here:
https://brainly.com/question/2972832

HELP SOON! Please!!!!
How does an outlier affect the mean of a population? The median? The range?
How can we adjust for the effects of outliers?

Answers

the person who answered already is correct

Jenny made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $85?​

Answers

Answer: Jenny would have to work 5 hours to get $85

Step-by-step explanation:

Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5

Regina read his novel three nights in a row. Each night, he read for 3/4 of an hour. How many hours did regina read his novel altogether?​

Answers

Answer:

Regina read for 2 1/4 hours or 2 hours and 15 minutes

Step-by-step explanation:

He read for 2 hours and 15 minutes

Find the volume of the cone.

Answers

Answer:

[tex]14.50[/tex]

...........

In a standard 52-card deck, half of the cards are red, and half are black. The 52 cards are evenly divided into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered 2 to 10.

Dawn removes two cards, without replacement.

What is the probability that Dawn removed two black cards?





What is the probability that Dawn removed a diamond and a spade?





What is the probability that Dawn removed two face cards?

Answers

Answer:

Byhrnegngrnhumhrnim jmmumtjmmtjmtj

Pleaseeee help I'll give Brainliest urgent!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is

'The range of the data for girls is less than the range of the data for boys'

I'm don't know dfhgh fhfghfg hgf hgfh

The 3rd term of an arithinetic progression is-9
and the 7th term is -29. Find the 10th term of the
progression.​

Answers

Answer:

-64

Step-by-step explanation:

The computation of the 10th term of the progression is shown below:

The 3rd term is -9

A_n = a + (n - 1)d

-9 = a + (3 - 1)d

-9 = a + 2d

-9 - 2d = a

Now the 7th term is -29

A_n = a + (n - 1)d

-29 = a + (7 - 1)d

-29 = a + 6d

Put the a value to the above equation

-29 = -9 - 2d + 6d

-29 + 9 = 4d

-20 = 4d

d = -5

Now

-9 - 2d = a

-9 - 2(-5) = a

-9 - 10 = a

a = -19

Now finally the 10th term of the progression is

= a + (n - 1)d

= -19 + (10- 1)-5

= -19 -45

= -64

Please help me I wanna go to sleep :(

Answers

Answer:

a. -2

b. 48, -96, 192

Step-by-step explanation:

Can someone help me with the vertex of the parabola

Answers

Answer:

The vertex is (-1.5, 11.25)

Step-by-step explanation:

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