The surface of a rectangular table has a perimeter 20 feet. Its area is 21 square feet. What are the dimensions of the table?​

Answers

Answer 1

Answer:

7 and 3

Step-by-step explanation:

We know that all 4 sides have to add up to 20 and that 2 of the sides are the same because it's a rectangle. To find the area, we have to do length times width. Two different sides have to equal 21 when multiplied. The factors of 21 are 1, 3, 7, and 21. Let's try 1 and 21. We need an area of 21. 1 x 21 = 21 so it satisfies that. Now let's find the perimeter.21 + 21 + 1 + 1 = 44, but we need an perimeter of 20. Now, let's try 7 and 3. 7 x 3 = 21, so it satisfies the area. 7 + 3 + 7 + 3 = 20, so it also satisfies the perimeter. Therefore, 7 and 3 are the dimensions of the table.  

Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D


Related Questions

A construction company can remove 3/3/4 metric tons of dirt from a construction site in 1/1/8 hours what is the unit rate in metric tons per hour write your answer as a fraction or a mixed number in simplest form

Answers

Answer:

3 1/3 metric tons per hour

Step-by-step explanation:

To find the unit rate, divide 3 3/4 metric tons by 1 1/8 hours (notice that the correct format is 3 3/4, not 3/3/4).

 3 3/4 metric tons       3.75 metric tons

---------------------------- = --------------------------

        1 1/8 hours                1.125 hours

It's easier to deal with decimal fractions here than with proper fractions.

The unit rate then comes out to be 3.75/1.125 metric tons per hour, or

3.33333 metric tons per hour, or   3 1/3 metric tons per hour

Arianna invests $2,000 into an ETE which earns 2% per year. In 10 years, how much will Arianna's investment be worth if interest is compounded monthly? Round to the nearest dollar. Workspace V 3 < TI​

Answers

Answer:

$2040

Step-by-step explanation:

Can someone help me with this question? Explanations would be nice. Question: Right ΔKLM with m∠J= 45°, leg JK= 4√3
(Question was resubmitted because of misspelling.)

Answers

Angle J is given as a 45
Angle L is given as a 45
Angle K is 90 (it says it’s a right triangle so it has to have a 90 degree angle and 180-45-45=90)
The JK leg given equals 6.92
Leg LK equals 6.92
6.92^2 +6.92^2= the last leg which is 95.77^2
95.77^2=9.78
Leg JL equals 9.78

Answer:

Step-by-step explanation:

M,p, and z represent the lengths of the three sides of this right triangle. Select all the equations that represent the relationship between m,p, and z .

Answers

Answer:

The equations are:

[tex]m^2 = p^2 + z^2[/tex]     [tex]m^2 = z^2 + p^2[/tex]

[tex]z^2 + p^2 = m^2[/tex]     [tex]p^2 + z^2 = m^2[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Select all true equations

From the attachment:

[tex]m = hypotenuse[/tex]

[tex]p\ and\ z = other\ legs[/tex]

Using Pythagoras theorem:

[tex]m^2 = p^2 + z^2[/tex]

This can be rewritten as:

[tex]m^2 = z^2 + p^2[/tex]

or

[tex]z^2 + p^2 = m^2[/tex]

or

[tex]p^2 + z^2 = m^2[/tex]

1. Solve the simultaneous equations 3x - 2y = 4and 2x + 3y = -6 using elimination method.​

Answers

Answer:

Multiply the first equation by 2

2(2x+y=5) to get 4x + 2y = 10

add the second equation 3x-2y=4

4x + 3x + 2y + -2y = 10 + 4

7x = 14

x = 2

...

Multiply the first equation by 3 and the second equation by -2 then add

3(2x+y=5) to get 6x + 3y = 15

-2(3x-2y=4) to get -6x + 4y = -8

add them

6x + -6x + 3y + 4y = 15 + -8

7y = 7

y = 1

...

x = 2 , y = 1

(2, 1) is the solution

...

check

2(2) + 1 = 5

4 + 1 = 5

5 = 5

Correct

Hope it helps

Please mark me as the brainliest

Thank you

3(4x+6)=x-4

Solve the question and what property did you use?

Answers

Answer:

x = -2

Step-by-step explanation:

Can someone plz help me!!!

Answers

Answer:

The answer is no because 5 is greater than 3

What is the volume of Alina’s model in cubic centimeters

Answers

There’s no picture so I can’t help you sorry :(

What is the solution to this system of equations?
6.2
-
3y = 12
y = 2x
- 4

Answers

Answer:

sorry

Step-by-step explanation:

i don't understand your question

2/5 divided by 3/4
9/4 divided by 3/4
-5/7 divided by 1/3
-5/3 divided by 1/6

Answers

2/5 ÷ 3/4 = 8/15

9/4 ÷ 3/4 = 3

-5/7 ÷ 1/3 = -15/7

-5/3 ÷ 1/6 = -10

2 · y - 8 ÷ 4 when y = 7

Answers

Answer:

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plugin y = 7 in the expression

y - 8 ÷ 4 = 7 - 8÷ 4      { here division has to be done first as per PEDMAS}

              = 7 - 2

              = 5

HELP ASAP ME PLS I GIVE BRAINLY

Answers

i think D all equivalent I'm not sure but I hope that helped you.

5 points A farmhouse shelters 10 animals. Some are goats and some are ducks. Altogether there are 36 legs. How many ducks and goats are there?​

Answers

Answer:

2 ducks and 8 goats

Step-by-step explanation:

let goat be g

let duck be d

d + g = 10

ducks have 2 legs, 2d

goats have 4 legs, 4g

2d + 4g = 36

making d the subject in the first equation;

d = 10 - g

put in second equation

2(10 - g) + 4g = 36

20 -2g + 4g = 36

2g = 36 - 20

2g = 16

g = 8

if g is 8

d = 10 - 8

d = 2

9 + 7 + z + z + 5 + 7

Answers

Answer:

2(14+z)

Step-by-step explanation:

9+7+5+7

16+5+7

21+7

28

28+z+z

28+2z

2(14+z)

An insect is standing next to a flower. The insect is 1 cm tall and makes a shadow of 0.5 cm. If the flower makes a 15-cm shadow, how tall is the flower?

Answers

Answer:

30 cm

Step-by-step explanation:

set up a proportion of insect height over its shadow equals flower height over its shadow, then cross-multiply

1/.5 = x/15

.5x = 15

x = 30

a part of a line with endpoints on both ends a(n):

Answers

The answer is line segment

Answer:A part of a line with endpoints on both ends is a(n):

A line with 2 endpoints is called a line segment. We know that it is a segment because the endpoints make the line finite

Step-by-step explanation:

120% of what number is 3.6?

Answers

y = 3.6/120 x 100/100 = 3/100 = y = 3
I’m not sure hopefully you find the answer I’m sorry for the inconvenience

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

They are vertical

x=32.5

Step-by-step explanation:

75 + 4x-25 = 180

4x = 180+25-75

4x=130

x=32.5

finf the total surface area of a cylinder with a base radius of 5 inches and a height of 5 inches​

Answers

Answer:

314.16

Step-by-step explanation:

The formula is A=2πrh+2πr2, you just plug in the numbers

I hope this helps :)

I didn't pay attention in class for a few days and now I'm lost. if somebody could at least explain proportions I would be very thankful.

Answers

Answer:

A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.

Step-by-step explanation:

Find the Surface Of a rectangular prism with base of 4m by 5m and height 8m. ​

Answers


E height is kiss and

Answer:

184

Step-by-step explanation:

SA = 2LW + 2LH + 2WH

SA = 2(5 × 4) + 2(5 × 8) + 2(4 × 8)

SA = 2(20) + 2(40) + 2(32)

SA = 40 + 80 + 64

SA = 184

-Sienna Sushi <3

YW

HELP ASAP PLEASEEEEE​

Answers

Answer:

can't

can

can't

can

Step-by-step explanation:

sum of all angles should equal 180

Answer:

I certainly can't help you

All corners shown are right angles. 2 in. 3 in. 3 in. 2 in. 4 in. 4 in. 2 in. 10 in What is the perimeter of the shape? O A. 28 in. B. 30 in. OC C. 38 in. O D. 42 in.​

Answers

Answer: 30

Step-by-step explanation:

Solve for X. Please!!

Answers

Answer:

x = 37.5

Step-by-step explanation:

By Basic Proportionality Theorem:

[tex] \frac{x}{20} = \frac{46 - 16}{16} \\ \\ \frac{x}{20} = \frac{30}{16} \\ \\ x = \frac{20 \times 30}{16} \\ \\ x = \frac{600}{16} \\ \\ x = 37.5[/tex]

Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of g(x) = (x + 2)2 + 2?

Answers

Answer:

g(x) = (x -3 )^2 + 2

Step-by-step explanation:

f(x) = (x + 2)^2 + 2

We want to shift this 5 units to the right

The parabola is written in the form

y = a(x-h) ^2 +k  where (h,k) is the vertex

The vertex is at ( -2, 2)

We want to shift it 5 units to the right

-2+5 = 3

g(x) = (x -3 )^2 + 2

Answer:

g'(x) = (x-3)² + 2

Step-by-step explanation:

g'(x) = (x+2 - 5)² + 2

2. Consider the following system of equations.
y = 2x - 4
y = -x + 5
{
a. Identify the slope and y-intercept of the graph of each equation.
b. Based on your answer for part (a), are the graphs of the two lines intersecting lines, the
same line, or parallel lines? Explain your reasoning.

Answers

Answer:

see below

Step-by-step explanation:

a.

first equation: slope = 2, y intercept = (0,4)

second equation: slope = -1, y intercept = (0,5)

b.

They are intersecting lines. They don't have the same slope so they aren't parallel and they obviously aren't the same equation so they aren't the same line.

glencoe geometry unit 9: whoever can answer the page gets 100 points and brainliest

Answers

Step-by-step explanation:

14. K' = x + a, y + b

= -1 + 2, 6 + 3

K' = 1, 9

K" = (x, y) → (-x, y)

= (1, 9) → (-1, 9)

K" = -1, 9

15. D. Octagon

Since it has 8 angles, of 360 ° is divided by 8 angles, then each corner has an angle of 45 °

16. P' = x + a, y + b

= -2 + 6, 4 + 5

P' = 4, 9

17. H' = x + a, y + b

= 5 + 10, 4 + (-11)

= 15, -7

18. A (6, -1)

A' = (x, y) → (x, -y)

= (6, -1) → (6, -(-1)

= 6, 1

19. J' = x + a, y + b

= -2 + (-3), 1 + (-3)

= -5, -2

J" = (x, y) → (x, -y)

= (-5, -2) → (-5, -(2))

= -5, -2

#CMIIW

Please I will give brainliest

Answers

Answer:

The answer is 91 bags.

Step-by-step explanation:

You divide 45.5 by 0.5

Kevin needs 91 bags because you divide the 45.5g with .5g

Simplify

x(2x + 3) + (x - 3)(x - 4)

Answers

Answer:

3x^2-4x+12

Step-by-step explanation:

x(2x+3)+(x-3)(x-4)

2x^2+3x+x^2-3x-4x+12

2x^2+x^2+3x-3x-4x+12

3x^2-4x+12

Answer:

3x² -4x + 12

Step-by-step explanation:

x(2x + 3) + (x - 3)(x - 4)

= 2x² + 3x + x² - 4x -3x + 12

= 3x² -4x + 12

answer algebra 1 problem below

Answers

Answer:

Step 1: multiply

10*10=100*10=1000*10=10000

Step 2: write 1st one out.

(8*10000)

Step 3: multiply

8*10000=80000

________________-

Step 1: multiply

10*10=100*10=1000*10=10000*10=100000*10=1000000*10=10000000*10=100000000*10=1000000000*10=10000000000*10=100000000000*10=1000000000000

step2: multiply

2*100000000000=200000000000

step 3: write it out

80000*200000000000

step 4: solve

80000*200000000000=1.6 to the power of 17

Step-by-step explanation:

so your answer is

1.6 to the power of 17

that was a lot yw

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