Randy has 36 tiles.
How should he arrange them so that he has the smallest perimeter?
A.

4 by 9 rectangle
B.

3 by 12 rectangle
C.

1 by 36 rectangle
D.

6 by 6 rectangle

Answers

Answer 1

Answer:

Smallest perimeter setup is (6 by 6 rectangle)

Step-by-step explanation:

Given:

Total number of tile = 36

Find:

Smallest perimeter setup

Computation:

Perimeter = 2(a + b)

So,

Perimeter if (4 by 9 rectangle )

Perimeter if (4 by 9 rectangle ) = 2[4+9]

Perimeter if (4 by 9 rectangle ) = 2[13]

Perimeter if (4 by 9 rectangle ) = 26

Perimeter if (3 by 12 rectangle )

Perimeter if (3 by 12 rectangle ) = 2[3+12]

Perimeter if (3 by 12 rectangle ) = 2[15]

Perimeter if (3 by 12 rectangle ) = 30

Perimeter if (1 by 36 rectangle )

Perimeter if (1 by 36 rectangle ) = 2[1+36]

Perimeter if (1 by 36 rectangle ) = 2[37]

Perimeter if (1 by 36 rectangle ) = 74

Perimeter if (6 by 6 rectangle )

Perimeter if (6 by 6 rectangle ) = 2[6+6]

Perimeter if (6 by 6 rectangle ) = 2[12]

Perimeter if (6 by 6 rectangle ) = 24

So,

Smallest perimeter setup is (6 by 6 rectangle)


Related Questions

a certain number is added to 9 the result is 5 - the same number what is the number​

Answers

Answer:

the answer to the question is -2

Step-by-step explanation:

a certain number=x

therefore,x+9=5-x

x+x=5-9

2x= -4

you the divide both sides by2 to gain x

400plus2000minus45000000

Answers

−44,997,600 that would be the answer!

1. A quadrilateral has one pair of parallel sides with lengths 2 inches and 3 inches, and two angles that each measure 42 degrees What is the shape of the quadrilateral?

Answers

Answer:

34

Step-by-step explanation:

Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.

Answers

A =?

P= 9456

r = 6% = 0.06

t = 5 yrs

Formula

A= P(1+r)^t

A= 9456×1.06⁵

A = 12646.23

the total amount that he had to pay was 12646 rs

Find the probability that a randomly placed point falls within the smaller, inner circle.

The unshaded portion has a radius of 5 centimeters. The shaded path has a width of 8 centimeters.


5/8

25/169

64/78.5

15/24

Answers

Answer:

The probability that a randomly placed point falls within the smaller, inner circle is 25/64

Step-by-step explanation:

The remaining part of question is attached

Solution

The area of smaller circle is

[tex]\pi r^2 = 25 \pi[/tex]

The area of large circle is

[tex]\pi r^2 = 64 \pi[/tex]

Area of the shaded region

Area of large circle - area of small circle

[tex]64\pi -25\pi = 39\pi[/tex]

Probability that the point falls in the region of smaller circle is

[tex]\frac{25\pi }{64\pi } \\\frac{25}{64}[/tex]

ucas writes a numerical expression that has a value of 37. Which of the following expressions did Lucas write?

a
2.5^2+19\times2.5-16.75

b
2.5+19\times2.5-16.75

c
2.5^2+19\times2.5+16.75

d
2.5\times19+2.5^3-16.75

Answers

Answer:

a) 2.5^2+19\times2.5-16.75

Step-by-step explanation:

(2.5)² +(19× 2.5) - 16.75

= 6.25 + 47.5 - 16.75 = 37

The ratio of boys to girls in the class is 3 to 4. If there were 12 boys, how many girls were there?

Answers

Answer:

Step-by-step explanation:

let girls be x

3/4=12/x(do cross multiplication)

12*4=3x

48/3=x

16=x

therefore there are 16 girls

Answer:

16 girls

Step-by-step explanation:

Set up a proportion. Let x = the number of girls.

3 / 4 = 12 / x

Cross multiply:

3x = 48

x = 16


What attributes were used to organize the shapes in Circle A and Circle B?

I need a answer ASAP! And I really want it to be right!!

Have a great day!

Answers

Left one: shapes with right angles
Right one: shapes where opposite sides are parallel (or shapes where opposite sides are congruent

For circle A, attribute used is right angle.

For circle B, attribute used is parallel lines.

What is right triangle?

A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.

What are Similarities of square, rectangle and parallelogram?

A square, rectangle and parallelogram are quadrilaterals. Opposite sides of square, rectangle and parallelogram are parallel to each other. Adjacent angles of square, rectangle and parallelogram are supplementary. Diagonals of square, rectangle and parallelogram bisect each other.

Circle A consists of triangles.

By observing clearly that in circle A there are two right angled triangles.

For circle A, attribute used is right angle.

Circle B consists of 1 square, 1 rectangle and 2 parallelogram.

We know that in a square, rectangle and parallelogram, there are two pair of parallel lines. Opposite sides of square, rectangle and parallelogram are parallel to each other.

For circle B, attribute used is parallel lines.

Find out more information about Similarities of square, rectangle and parallelogram and right triangle here

https://brainly.com/question/4519927

https://brainly.com/question/3770177

#SPJ3

Erica had $20 she spent on three gifts she spent 9 3/4 dollars on gift a and 4 1/2 dollars and gift b how much money did she have left for gift c

Answers

Answer:

$5.75

Step-by-step explanation:

20=9.75 + 4.5 + c

20-9.75-4.5=c

5.75=c

The perimeter of a rectangular pool is more then 62 meters, and the width is at least 10 meters less then the length. Witch system of inequalities represents the possible length in meters, /, and the possible width in meters, w, of the pool?

Answers

Answer:

Step-by-step explanation:

The perimeter of a rectangular pool is more then 62 meters, and the width is at least 10 meters less then the length. Witch system of inequalities represents the possible length in meters, /, and the possible width in meters,

What is the domain of the function
y=x?

Answers

Answer:

the domain of y = x is all real numbers.

The line would continue to infinity. Thus, the domain is all real numbers

What is the solution of-+-<?
1 1 1
X35

Answers

Answer:

A. [tex]-\frac{15}{2} < x< 0[/tex]

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

Wesley made 3/4 of a liter of hot chocolate. Each mug holds 3/8 of a liter. How many mugs
will Wesley be able to fill?

Answers

Wesley can fill 2 mugs of hot chocolate

Answer:

2

Step-by-step explanation:

you have to dived 3/4 by 3/8= 24/12=2

I REALLY NEED HELP PLS​

Answers

Answer:

Step-by-step explanation:

100+2x+40=180(sum of interior angle of a triangle)

140+2x=180

2x=180-140

2x=40

x=40/2

x=20

Answer:

x=20

Step-by-step explanation:

the sum of the angles of a triangle is 180

so it means,

100+40+(2×)=180

140+(2×)=180

2×=180-140

2×=40

divide both sides by 2

x=20

to prove this substitute 20 inside see if the result is 180

40+100+(2×)=180

×=20

40+100+(2 (20))=180

140+40=180

140+40=180

Good luck.

Solve by elimination
2x - 3y = -6
-2x - 2y = 26

Answers

Answer:

x=  -9       y= -4

Step-by-step explanation:

Step 1:

  2x-3y=-6

+ -2x-2y=26

_____________

         -5y=20

Step 2:

Get y by itself by dividing -5 on both sides

20/-5=-4

Therefore, y= -4

Step 3:

Plug -4 into the y for the first equation to get the number for x

2x-3(-4)=-6

2x+12=-6

2x= -18

x= -9

Find a.

Write your answer in simplest radical form.

Answers

Answer: 16

Step-by-step explanation:

I think so.

Answer:

26.25

Step-by-step explanation:

sin60=8/f

sin60(f)=8

(sin60(f))/sin60=(8)/sin60

f=26.25

Todd bags fruit. He has
483 oranges, 822 apples,
199 pears, and 552
bananas. If he puts
8 pieces of fruit in each
bag, how many bags can
he make?

Answers

Answer:

60

Step-by-step explanation:

hope it helps!

Solve the inequality 2m+10 < 40

Answers

Answer:

m < 15

Step-by-step explanation:

2m+10 < 40

Subtract 10 from each side

2m+10-10 < 40-10

2m < 30

Divide by 2

2m/2 = < 30/2

m < 15

56 it is your welcome

PLEASE HELP!!
Describe the relationship between expanding and factoring.

Answers

Answer:

To factor means to express as a product. To expand means to multiply something out.

Step-by-step explanation:

please answer my question for me pleaseeee

graph (-5,0) (9,0) (8,-39)

Answers

Answer:

just plot the coordinates down on graph and then u'll have them graphed

Step-by-step explanation:

I don't know I'm too lazy 2 put an explanation

(trigonometry) solve for x

Answers

Answer:

[tex]x = 21 \sin(38 \degree) \\ x = 12.93[/tex]

Answer:  17

The more accurate value is roughly x = 16.5482258257411

=====================================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411 which is approximate

x = 17

I'm rounding to the nearest whole number since the other side (21) is a whole number. If your teacher instructs you to round otherwise, then follow those instructions of course. Make sure your calculator is in degree mode.

A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?

A- 1/5 minute/boards
B- 5/1 boards/minutes
C- 5/25 minutes/boards
D- 25/5 boards/minutes

Answers

Answer:

B- 5/1 boards/minutes

Step-by-step explanation:

Unit rate is the number of circuit boards a minute:

25 boards every 5 minutes >> 25/5 boards every 5/5 minutes >> 5/1 boards/minutes

Correct choice is B

1. **Which of the foll byowing is equivalent to y4 x y^8?
A. y32
B. y4
C. 2y 12
d. y12

Answers

Answer:

SOLUTION

[tex] {y}^{4} \times {y}^{8} = y8 + 4 = {y}^{12} [/tex]

Beacause of the property of exponent = [tex]a ^{b} \times {a}^{c} = a ^{b + c} [/tex]

Kawai requires a loan of $33,000 to buy a used sport utility vehicle. His banks offers financing at 6.75% compounded monthly, for a term of 6 years, payable monthly. What is the total cost of this loan?

Answers

Answer:

$49,126.87

Step-by-step explanation:

Given data

Principal= $33,000

rate= 6.75%

Time= 6 years

First, convert R as a percent to r as a decimal

r = R/100

r = 6.65/100

r = 0.0665 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 33,000.00(1 + 0.0665/12)^(12)(6)

A = 33,000.00(1 + 0.005541667)^(72)

A = $49,126.87

Hence the final amount is  $49,126.87

hey! i’ll give brainliest please help

Answers

Answer:

a mans car...

Step-by-step explanation:

a man's car breaks down while driving to work

because all the other ones are in their head

product of 3 and e in algebric expression​

Answers

product of 3 and e in algebric function = 3e

4. Elsa mixed 2 cups red paint with 1 cup blue paint to make purple paint. If she needs more purple
paint and uses 2 cups cup red paint, how much blue paint should she mix with it?

Answers

Elsa would need to mix 2 more cups of blue paint.
2 > 1
2 + 2 = 4
4 > 2

Which expression will simplify (3a+6) (7a-2)​

Answers

Enjoy your answer have a nice day

HELP PLEASE! WILL GIVE BRAINLIEST!

Answers

Answer:

Exact volume: 804.24772

Approximate volume: 804.248

Step-by-step explanation:

V = 1/3hπr².

evaluate2x
X= 5 -3
-4 2​

Answers

Answer :

Evaluate

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 2 i √ 5 , − 2 i √ 5

Step-by-step explanation:

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