The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is cut into 9 equal pieces. What is the area of each piece? What are the possible dimensions of each piece? (Take the dimensions to be whole numbers.)

Answers

Answer 1

Answer:

Area of each piece = 104 [tex]cm^{2}[/tex]

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

[tex]Area = Length \times Width[/tex]

Area = 26 [tex]\times[/tex] 36 [tex]cm^2[/tex]

Area of each smaller rectangle = [tex]\frac{26\times 36}{9} = 104\ cm^2[/tex]

To find the possible dimensions, we need to find the factors of 104.

104 = 26 [tex]\times[/tex] 4

104 = 13 [tex]\times[/tex]  8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.


Related Questions

Need Help ASAP

Morgan arrived at her destination at 5:45 pm. If she left at 4:48 pm on the same day, how long did the journey take?

I'm not too good at these at all :(

Answers

It would be 57 minutes. Also love the Kenma profile picture!!

EXPLANATION: so 4:48 is almost an hr to 5:45. Just subtract 3minutes from an hr and you have your answer!

How many sides does the polygon measures 160 degrees how many sides does the polygon have???

Answers

Answer:

18 sides

Step-by-step explanation:

I'm not sure what the question is, but this is what I think the question is.

"An interior angle of a regular polygon measures 160 degrees. How many sides does the polygon have?"

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180

If the polygon is a regular polygon, then the measure of each interior angle is

(n - 2)180/n

Here, we are told an interior angle measures 160 deg.

(n - 2)180/n = 160

(n - 2)180 = 160n

(n - 2)18 = 16n

(n - 2)9 = 8n

9n - 18 = 8n

n = 18

Answer: 18 sides

18 sides. The person above explained it

What is the value of X X+11 2x+8 3x+1

Answers

Step-by-step explanation:

here is ur answer pls check it

Find the midpoint between 5-2i and 7+6i

Answers

Answer:

6+2i

Step-by-step explanation:

(5+7)/2 = 6

(-2+6)/2 = 2

Can you find the slope and type the correct code?

Answers

Answer:

1. (3,19) and (-1,-13)

  to find the slope you need to do [tex]\frac{y2-y1}{x2-x1}[/tex]

Hence [tex]\frac{-13-19}{-1-3}[/tex]= 32/-4=-8

2. Take two points on the graph:

(-2,3) and (1,0)

Know that to calculate the slope you do

[tex]\frac{rise}{run}[/tex]= 4/2= 2

3. To find the slope in a table you need to choose any two points and utilize the following formula: [tex]\frac{y2-y1}{x2-x1}[/tex]= [tex]\frac{-16-(-8)}{2-1}[/tex]=-8/1= -8

4. Like in #1 we take the two points and plug it into the formula:

[tex]\frac{8-(-10)}{0-9}[/tex]=18/-9= -2

Please rate positively and give brainlist!

Step-by-step explanation:

Multiple choice question: A square mosaic is made of small glass squares. If there are 196 small squares
in the mosaic, how many are along one edge? Image is of a mosaic, not the
problem. *
O 14 squares
O 49 squares
O 98 squares
O 16 squares

Answers

Answer:

14 squares

Step-by-step explanation:

1. We know if the mosaic is a square shape, all sides are the same length and consist of the same amount of squares

2. Area is L×W, so in this case A×A=196

3. We can test this by replacing A with 14 and seeing if the answer is correct.

4. 14×14=196 is true

This can also be done by finding the square root of 196.

Buddy painted (1/5) of the 320 nutcrackers.How many nutcrackers did buddy paint

Answers

Answer:

64

Step-by-step explanation:

Given that,

Buddy painted (1/5) of the 320 nutcrackers.

We need to find how many nutcrackers did buddy paint. It can be calculated by finding (1/5) of 320.

[tex]x=\dfrac{1}{5}\times 320\\\\=64[/tex]

Hence, he painted 64 nutcrackers.

Which value is equivalent to 9^c x 9^-c A. 0 B. 1 C. 1/9^2C D. 9

Answers

Answer:

B

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]a^{0}[/tex] = 1

Given

[tex]9^{c}[/tex] × [tex]9^{-c}[/tex]

= [tex]9^{(c-c)}[/tex]

= [tex]9^{0}[/tex]

= 1 → B

what point shows a local maximum ?​

Answers

I believe the answer would be point B
B



Is the answer





Between 20 and 16

please solve for x
x+19=-9

Answers

Answer:

x=-28

Step-by-step explanation:

Answer:

x=-28

Step-by-step explanation:

A science teacher has 0.4 of seawater she gives each of her 22 tune in a container or a 5ml spoon she asked as soon as you put two spoonfuls old seawater into their container how many millimeters of seawater will be locked after all 22 minutes of fill their containers

Answers

Answer:

the photo is the answer

Explain how to use ratio tables and compare ratios.

Answers

Answer:

You should ALWAYS do everything by the same value for using the tables Step-by-step explanation:

if one side gets multiplied so should the other, so let's say you had 2:4 if you are multiplying the 4 by 3, you should also multiply the 2 by 3.

Comparing ratios:

In order to compare a ratio you must have a number that is constant, basically in other words a common number. A number that almost is always the multiplied, or divided by the same amount.

Please. give brainliest I did my best.

Is (x+1)/x^2 greater or less or equal to 1/x

Answers

Answer:

(1) x^2 is greater than 1.

(2) x is greater than -1.

(1) x^2 is greater than 1 --> x2>1x2>1 --> x<−1x<−1 or x>1x>1. Sufficient.

(2) x is greater than -1 --> x>−1x>−1. Not sufficient.

what is 5.45 x 3.275?

Answers

I got you! The answer is 17.84875 but I suggest rounding it to the nearest hundredth and saying 17.85! I hope this helps and remember that when multiplying decimals, take out the decimal to multiply normally and count all the place values in the decimal spots, go back from the right to the left and then insert your decimal!

Please give brainliest❤️

A card is drawn at random from a standard pack of 52 playing cards find the probity of drawing a heart or a club

Answers

Answer:

1/2

Step-by-step explanation:

From the question, there are 13 cards of heart and 13 card of club in each suit in each deck.

P(drawing heart) = 13/52

P(drawing club) = 13/52

And we know total standard pack =52

P(drawing a heart or a club)

= number of favourable outcome/ total Number of outcome

P( drawing heart or club) =( 13+13)/52

=26/52

=1/2

For students majoring in Hospitality Management, it was determined that 5% have visited 1–10 states, 16% have visited 11–20 states, 45% have visited 21–30 states, 19% have visited 31–40 states, and 15% have visited 41–50 states. Suppose a Hospitality Management student is randomly picked. What is the probability that the student has visited 30 or fewer states?

Answers

9514 1404 393

Answer:

  66%

Step-by-step explanation:

The categories are mutually exclusive, so we have ...

  P(≤30) = P(1–10) +P(10–20) +P(20–30) = 5% +16% +45%

  P(≤30) = 66%

The probability is 66% that a randomly chosen student has visited 30 or fewer states.

Answer:

.55

Step-by-step explanation:

just subtract .45 from 1 and then you have your answer.

-3(4x2)-2x please also show your work

Answers

Answer:

-24 - 2x

Step-by-step explanation:

-3(4x2)-2x

-3(8) - 2x

-24 - 2x

Diego measured the length of a pen to be 22 cm. The actual length of the
pen is 23 cnd which of these is closest to the percent error for Diego's
measurement?

Answers

Answer:

95.7 percent accurate

Step-by-step explanation:

Answer:

4.3%

Step-by-step explanation:

Lin bought x grams of sugar. Jada bought 3⁄4 more than that. Select ​all​ equations that represent the relationship between the amount of sugar that Lin bought, x, and the amount of sugar that Jada bought, y.

Answers

Answer:

y = 7/4x

Step-by-step explanation:

Lin bought x grams of sugar.

Jada bought 3⁄4 more than  Lin bought.

The equation:

y = x + 3/4x ⇒ y = 7/4x

7. Solve 3(a+3)-6=21. Write a reason for each step.
Given
3(a+3)-6=21
3a+9-6=21
3a +3=21
3a = 18
a=6
Simplify.
[2]
Division Property of Equality
c.
a. [1] Simplify
[2] Addition Property of Equality
b. [1] Distribution Property
[2] Subtraction Property of Equality
[1] Simplify
[2] Subtraction Property of Equality
[1] Distribution Property
[2] Addition Property of Equality
d.

Answers

Answer:

j i a few u can call you in bright mode of switch ij you can see it on GoDaddy to u all happy with it and k bol raha h ki jay ram ram ram

A salesman sells a car for $11 000. If he is paid a commission of 4.5%
for the first $10 000 and 7.5% on the remainder, then the commission
he receives is​

Answers

I’m math teacher this is the answer

A=2nr+nrl
...........

Answers

Answer:

A=ynr which XW RT XW informing

Help Pls I need help look at the picture below

Answers

-(-2) - |(-2)(-3)| ((-2)^0-(-3))
2 - |6| (-1+3)
2-6(2)
2-12
-10

Daryl opens his shop at 8:30 AM and closes it at 7:50 PM. How long is the shop open?

Answers

Answer:

11 hours 20 minutes

Step-by-step explanation:

11 hours and 20 minutes hope this helped(:

The X coordinate of a point P on X axis is 4 and the y coordinate of a point Q on y axis is 3. Find the distance of PQ.​

Answers

Answer:

5 units

Step-by-step explanation:

Since The X coordinate of a point P on X axis is 4 and the y coordinate of a point Q on y axis is 3 the points are

P (4 , 0) and Q(0 , 3)

The formula to calculate distance between two points

[tex]PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\PQ=\sqrt{(0-4)^2+(3-0)}\\PQ=\sqrt{(4)^2+(3)^2}\\PQ=\sqrt{16+9} \\PQ=\sqrt{25} \\PQ=5\ units\ \\[/tex]

IMPORTANT!

As we take the square root of 25 we get two values +5 and -5 we always take the positive value because distance can never be negative.

Which expression is equivalent to 20c-8d? Show all work and circle letter of correct answer.
2(10c+4d)
4(5c-8d)
4(5c-2d)
c(20-8d)
Answer correctly and get brainiest

Answers

2(10c+4d) is the correct answer

Answer: This one is equal to what we were looking for.

4 × 5c = 20 - 8d = 12

Step-by-step explanation:

(20c - 8d = 12) so we are look for an expression that is equal to 20c 8d and 12

2 × 10c = 20 + 4d = 24

4 × 5c = 20 - 8d = 12

4 × 5c = 20 - 2d = 18

c20 - 8d = 12

What is the value of x, if the equation 2(x + 60) + 2(30) = 200

Answers

x= -530

This is because:

2(x+60)+2(30)=200
•distribute the 2s into each parentheses
2x+1200+60=200
•combine like-terms
2x+1260=200
•isolate 2x by subtracting 1260 from both sides of the equation
2x=200-1260
•subtract 1260 from 200
2x= -1260
•divide both sides by 2 so you can have x all alone
2x/2= -1260/2
Hence
x= -530

eight hot dogs at the baseball park cost $28. how much does one hot dog cost? (let h = price of hot dog)
i need the equation please!!!​

Answers

Answer:

3.5

Step-by-step explanation:

Answer:

h=$3.50

28/8

Step-by-step explanation:

Order from greatest to least. Question 1 options: 3/4 -27/32 −0.851⎯⎯⎯⎯⎯⎯ - 0 . 851 ¯ 0.875 0.053571428⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ 0 . 05 3571428 ¯ 0.2⎯⎯ 0 . 2 ¯ -11/28

Answers

Step-by-step explanation:

question 1.

[tex]\frac{3}{4}\\-0.851\\-\frac{27}{32}[/tex]

question 2

[tex]0.053571428\\\- 0.875\\\\- 0 . 851[/tex]

question 3

[tex]0.05 3571428\\\\-11/28\\\\-0 . 2[/tex]

What is the length of the line segment whose endpoints are (-1,5) and (3,-3)? Round your answer to the nearest tenth.

Answers

Answer:

4√5

Step-by-step explanation:

The length=√(3--1)²+(-3-5)²

l=√(4)²+(-8)²

l=√16+64

l=√80=4√5

Other Questions
Given: bisects MRQ; RMS RQSTriangles R M S and R Q S share side R S. Point N is on line R S. Lines are drawn from point M to point N and from point Q to point N. Angles M R S and S R Q are congruent.Which relationship in the diagram is true?MNR MNS by ASARMS RQS by AASSNQ SNM by SSSQNR MNR by HL evaluate this expression c^2 + d^3 A man is trying to fit a washing machine into a corner of a four-sided room. He knows that all the walls are perfectly straight, but he is not sure if the corner is an exact right angle. If the other three corners are all 90 angles, what is the measure of the missing corner? which expression is equivalent to (1+cos(x))2(tan(x/2))?a. sin(x)b. 1-cos(x)c. 1-cos2(x)d. (1+cos(x))(sin(x)) Explain the difference between rotation and revolution. Then use these terms to explain how Earth, the moon, and the Sun move relative to one another. Need help fast please!Find the mass of 4.56 mols of LaPO4 What are the coordinates of the image D0.5(3,5)? PLEASE HELP I WILL NAME YOU BRAINLIEST IF YOU ANSWER CORRECTLY PLEASE HLP THIS TEST IS SOOO IMPORTANT!!!On a coordinate grid, point A is located in the first quadrant. Point B is located at ( negative 1 over 2 , 2).Point C is a reflection of point B across the y-axis. Which graph shows these three points? (5 points)A. A coordinate grid from negative 3 to positive 3 on both axes is drawn in increments of 1 over 2. Point A is plotted 4 grid lines to the right of the y-axis and 1 grid line above the axis. Point B is plotted at 1 grid line to the left of the y-axis and 4 grid lines above the x-axis. Point C is plotted at 1 grid line to the left of the y-axis and 4 grid lines below the x-axis.B. A coordinate grid from negative 3 to positive 3 on both axes is drawn in increments of 1 over 2. Point A is plotted 4 grid lines to the right of the y-axis and 1 grid line above the x-axis. Point B is plotted at 1 grid line to the left of the y-axis and 4 grid lines above the x-axis. Point C is plotted at 1 grid line to the right of the y-axis and 4 grid lines above the x-axis.C. A coordinate grid from negative 3 to positive 3 on both axes is drawn in increments of 1 over 2. Point A is plotted 2 grid lines to the left of the y-axis and 4 grid lines above the axis. Point B is plotted at 1 grid line to the right of the y-axis and 4 grid lines above the x-axis. Point C is plotted at 1 grid line to the left of the y-axis and 4 grid lines below the x-axis.D. A coordinate grid from negative 3 to positive 3 on both axes is drawn in increments of 1 over 2. Point A is plotted 2 grid lines to the left of the y-axis and 4 grid lines above the axis. Point B is plotted at 1 grid line to the right of the y-axis and 4 grid lines above the x-axis. Point C is plotted at 1 grid line to the right of the y-axis and 4 grid lines below the x-axis. Which of the following is defined as the relationship of an object to its surroundings and other objects?ProportionProportionIntensityIntensityRhythmRhythmHarmony why saturated solution prepared at higher temperature gives crystal on cooling Cul es el propsito del artculo?Cuntas veces Venezuela ha ganado un concurso de bellleza?Qu quiere decir "Fue una energa infinita que transmiti minetras sus compaeras parecan una barras he hierro?Por qu cautiv al jurado venezola?Cuando fue la primera vez que Venezuela gan este certamen de belleza?Cuntos pases africanos llegaron a la final?Dnde se realiz el primer concurso de belleza? Can you help me with these AP Computer Science Questions. (THIS IS DUE BY 1:30 PM today) you have to evaluate the Boolean Expressions. Find the area of the shaded region. To whom can Douglass's eduction first be attributed? * What is the answer to this question? (pls help) . Do you believe that franklins virtues still apply to this day and age? Why or why not? Can you help me with all of themmmm In Chile, What is Santa believed to climb through? pls help, MARK BRAINLEST with correct answer. Work out the surface area of this solid prism. The diagonals of rhombus ABCD intersect at E. Given that mCAD=20 and CE=4, find the mCDA.