7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?

a. l = 9.00 cm, w = 4.67 cm c. l = 1.00 cm, w = 42.00 cm
b. l = 5.00 cm, w = 8.40 cm d. l = 6.48 cm, w = 6.48 cm

8. The minimum perimeter occurs when the rectangle is a _____.

a. quadrilateral c. parallelogram
b. triangle d. square

Answers

Answer 1

9514 1404 393

Answer:

  7. d. l = 6.48 cm, w = 6.48 cm

  8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

__

7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

__

8. In light of the above, the shape is a square.

_____

The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.

7. Which Dimensions Result In The Minimum Perimeter For A Rectangle With Area 42.0 Cm2?a. L = 9.00 Cm,

Related Questions

The Yogurt Packaging company is now re-designing their factory. They are going to construct a building in
the shape of a square box. Their contractor has told them that the diagonal braces needed to make the roof
are 150 feet long.(please help)


1. What would be the floor plan of the building? Label the diagonal braces



2. Find the dimensions of the new factory



3.Find the perimeter of the new factory


4.the yogurt machines will be placed along the wall of the new factory . Each machine is 10 feet wide.

Find the company fit 40 of the machines in the building Why or Why not ?

Answers

Answer:

1.  see attached diagram

2. The dimensions are 75 sqrt(2) by 75 sqrt(2) ft

3. The perimeter is 300 sqrt(2) ft

4. cannot fit 40 machines along the walls

Step-by-step explanation:

We are using a top down view.  We have a square building with side length s.  The diagonal is 150 ft

Using the Pythagorean theorem

s^2 + s^2 = 150^2

2s^2 = 22500

s^2 =11250

Taking the square root of each side

sqrt(s^2) = sqrt(11250)

s = sqrt(6225*2)

s = 75 sqrt(2)

The dimensions are 75 sqrt(2) by 75 sqrt(2) ft

The perimeter of a square is given by

P = 4s = 4(75 sqrt(2)) =300 sqrt(2) ft

The perimeter is 300 sqrt(2) ft

Assuming the machines are square ( that they are as wide as they are long) 75 sqrt(2) is approximately 106 ft  so you can fit 10 along the wall

Putting them along the top and bottom walls = 20 machines

We are only left with 86 ft along the side walls

86/10 = 8 machines  

machines * 2 walls = 16

We can fit 20+16 machines = 36 machines not 40

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the interquartile range of the data set that consists of 3, 11, 4, 3, 10, 6, 4, 5.

A. 3.5
B. 5.75
C. 4.5
D. 8

Answers

Answer:

I am thinking it's c

I am not sure

Answer:

25th Percentile: 3.5

50th Percentile: 4.5

75th Percentile: 8

= Interquartile Range: 4.5

I think it shows it's '4.5'.

C

Samira and Sonia each have a bag containing 20 sweets. In each bag, there are 5 red, 6 green and 9 yellow sweets.
(a)
(b)
Samira chooses one sweet at random from her bag.
Write down the probability that she chooses a yellow sweet.
[1] Sonia chooses two sweets at random, without replacement, from her bag.
(i) Show that the probability that she chooses two green sweets is 3 . 38
(ii) Calculate the probability that the sweets she chooses are not both the same colour.

Answers

Step-by-step explanation:

there must be some typos here. but I try to address the right issues.

there is nothing under (a). so, really nothing to answer.

(b)

there are 20 sweets in her bag. 9 if the 20 are yellow.

so, the probability is the ratio of desired possibilities vs. total possibilities.

that is, tada! 9/20

that is the probabilty for Samira to pick a yellow sweet.

[1] (i)

again, 20 sweets to start with.

6 are green.

when she picks the first one, her probability to pick a green one is 6/20 = 3/10 = 0.3

and now, under the assumption that this came true, she picks another sweet.

this time she had only 19 left, and 5 of them are green.

so, this probabilty is 5/19

now both events need to happen for the case we are discussing. there is no overlapping, no ors, ifs and buts. it is just the product of both probabilities.

3/10 × 5/19 = 15/190 = 3/38

I think that is what the description asks for.

(ii)

that probability is

first selection is red and second is not red +

first selection is green and second is not green +

first selection is yellow and second is not yellow

so,

red and not red

5/20 = 1/4 red

15/19 not red (there are still 15 sweets of other colors in the bag, but again now only 19 total).

red and not red = 1/4 × 15/19 = 15/76 = 0.1974

green and not green

6/20 = 3/10 = green

14/19 = not green

green and not green = 3/10 × 14/19 = 52/190 = 26/95 =

= 0.2737

yellow and not yellow

9/20 = yellow

11/19 = not yellow

yellow and not yellow = 9/20 × 11/19 = 99/380 = 0.2606

so, now assuming up all 3 possibilities ("or" = sum) gives us the general possibility of selecting two different colors

= 0.7316

PLS HELP MEEE I NEED HELP TO PASS PYTHAGOREAN THEOREM

Answers

Answer:

b=12

Step-by-step explanation:

b^2+35^2=37^2

b^2+1225=1369

b^2=144

b=12,-12

Lengths can't be negative, so b=12

Answer:

b=12

Step-by-step explanation:

The Pythagorean theorem is

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

35^2 + b^2 = 37^2

1225+b^2 =1369

b^2 =1369-1225

b^2 = 144

Taking the square root of each side

sqrt(b^2) = sqrt(144)

b=12

The sum of two numbers is 75. If one exceeds the other by 35, find the numbers.

Answers

Answer:

20 and 55

Step-by-step explanation:

Let's assume, we have two numbers 'x' and 'y'.

Now, all we know is:

one number exceeds the other by 35 (i.e  their difference is 35)sum of two numbers is 75

So we form two equations:

x + y = 75_____(i)

and x - y =  35

so, x = y+35 _____(ii)

Put the value of x from (ii) into (i)

x + y = 75

y + 35 + y = 75

2y = 40

y = 20

Put value of y back in (ii)

x = y+35

x = 20 + 35

x = 55

The first number is 20, and the second number is 55.

Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.

Let's assume the first number is x.

According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).

The sum of the two numbers is given as 75, so we can set up the equation:

x + (x + 35) = 75

Simplifying the equation, we get:

2x + 35 = 75

Subtracting 35 from both sides:

2x = 40

Dividing both sides by 2:

x = 20

Therefore, the first number is 20, and the second number is (20 + 35) = 55.

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Which equation represents a line which is parallel to the line 6x - 5y = 5?
Submit Answer
Oy= $– 2
Oy= {2+3
Oy=+*+1
O 9= -x +6
PLS HELP ASAP

Answers

Answer:

y = 6/5x - 2

Step-by-step explanation:

First we need to put the equation given in slope intercept form, y = mx + b

6x - 5y = 5

Solve for y

6x - 5y = 5

Subtract 6x from both sides

-5y = -6x + 5

Divide both sides by -5

y = 6/5x - 1

Now we have the equation in slope intercept form

y = 6/5x - 1

We want to find the equation that would be parallel to it

Parallel lines have the same slope

The equation y = 6/5x - 1 has a slope of 6/5 so an equation that is parallel to it would also have a slope of 6/5

The only equation that has a slope of 6/5 is the top left one therefore that is the answer

Answer:

y = 6/5x - 2

Step-by-step explanation:

Simplify the given equation:

[tex]6x-5y=5\\-5y=-6x+5\\y=\frac{6}{5}x-1[/tex]

In order for another equation to be parallel, it must have the same slope. Therefore, y = 6/5x - 2 is the correct answer.

What is the smallest prime number that is also a multiple of 20?

Answers

Answer:

Hello,

Step-by-step explanation:

In order to cut off ( pour couper court)

all multiple of 20 are divisible by 20, so they are not primes.

For the Parabola y = (x - 7)^2 – 3. the equation for the Line Of Symmetry is

Answers

Answer:

x+=(y)=x

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

y = (x - 7)^2 – 3

This equation is in vertex form

y = a(x-h)^2 +k  where (h,k) is the vertex.  For a vertical parabola, the axis of symmetry is x=h

x = 7

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

Answers

Answer:

-4x - 6

Step-by-step explanation:

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

=> 2x + 4 - x + -3x - 6 - 2x - 4

=> 2x - 2x - x - 3x + 4 - 6 - 4

=> -4x - 6

please someone help me! asap!!

Answers

Answer:

Last option= 30 minutes

13. Find a four digit number that is divisible by 3,
5, and 8.

Answers

Answer:

3×5×8=120

Step-by-step explanation:

divisibility and prime number

Tony gets married next month. One year ago from the date he will get married, Tony was away in
Spain for New Year's Eve. What month is it?

Answers

Answer:

late January or early February

Step-by-step explanation:

On using logical reasoning, we deduce that this month is November.

What is logical reasoning?

Logical reasoning comprises aptitude problems that need a logical level of examination to arrive at the right answer.

One year ago from the date he will get married, Tony was away in Spain for New Year's Eve.

This implies, One year ago from the date he will get married, Tony was away in Spain in month of December.

This implies, Tony will get married in month of December.

We know, Tony gets married next month. So, this month is November.

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She walks to her school at a distance of 800m from her house in 55 seconds. On reaching, she finds that the school is closed and comes back by car with her friend and reaches home in 25 seconds. Find her average speed in m/s

Answers

Answer:

per second she was walking 14.54m roughly and driving is 32m per second therefore the average is 23.27m/s

Step-by-step explanation:

divide both sides by 55 to get one.

divide both sides by 25 to get one

THEN

to find the average you simply add them and divide by two which is 46.54 which divided by two is roughly 23.27.

A spinner has 4 equally likely outcomes: A,B,C, and D. The spinner is spun twice. What is the probability that it lands on BB twice?

Answers

Answer:

6.25%

Step-by-step explanation:

The probability of landing on B once is 25%.

So you multiply 25% by 25%.

0.25×0.25

The answer is 0.0625.

Converting back to %, its 6.25%.

I hope this helps!

pls ❤ and mark brainliest pls!

Write an equation in point-slope form for the line through the given point with the given slope. (Need ASAP help)
Is it a, b, c or d?

Answers

A because le puede hacer el pedido para la que oop no se w no

Can someone help me solve please
[tex]x + 2 \sqrt{x} - 3 = 0[/tex]

Answers

Answer:

x = 1

Step-by-step explanation:

Given

x + 2[tex]\sqrt{x}[/tex] - 3 = 0 ( subtract x - 3 from both sides )

2[tex]\sqrt{x}[/tex] = 3 - x ( square both sides )

4x = (3 - x)² ← expand using FOIL

4x = 9 - 6x + x² ( subtract 4x from both sides )

0 = x² - 10x + 9 ← in standard form

0 = (x - 1)(x - 9) ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 9 = 0 ⇒ x = 9

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are solutions.

x = 1 : 1 + 2[tex]\sqrt{1}[/tex] - 3 = 1 + 2 - 3 = 0 → x = 1 is a solution

x = 9 : 9 + 2[tex]\sqrt{9}[/tex] - 3 = 9 + 6 - 3 = 12 ≠ 0

x = 9 is an extraneous solution while x = 1 is a solution

Plzzzzz Help me 10 points and will mark brainiest

Answers

Answer:

x=21

Step-by-step explanation:

We can use a ratio to solve

45          27

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

35            x

Using cross products

45x = 35*27

45x = 945

45x/45 = 945/45

x  =21

Answer:

21

Step-by-step explanation:

The ratio of A to B is 45 / 35, which is equal to 9 / 7. To get from B to A, the ratio is 7 / 9.

(7 / 9) x 27

7 x 27 = 189, 189 / 9 = 21

Brainliest, please!

n-9 = 13
------------------

Answers

Answer:

n-9=13

n=22

Step-by-step explanation:

Answer: n = 22

Step-by-step explanation: to get the answer you have to add 9 to the -9 so that it cancels out. then you are to add the 9 to the 13 and so the answer shall be n=22

7
Setting 3 equal to which ratio would result in a valid proportion?
9
49
18
42
织但

Answers

Answer:

000

Step-by-step explanation:

000

Determine the slope of the line that has the following coordinates: (-2, 5) (4, -2)

Answers

Answer:

slope= -1  1/6

Step-by-step explanation:

x1 y1  x2 y2

-2 5  4 -2

   

(Y2-Y1) (-2)-(5)=   -7  ΔY -7

(X2-X1) (4)-(-2)=    6  ΔX 6

   

slope= -1  1/6    

B= 2  2/3    

round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920

Answers

Answer:

B 19,000

Step-by-step explanation:

;------------------------;

For people who have taken PreCalc/Calc (Summer Math Packet)
Find the constant a such that the function is continuous on the entire real line:

Answers

There is no a that will make f(x) continuous.

No matter what value of a you pick, you will always have the one-sided limits,

[tex]\displaystyle \lim_{x\to a^-}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]

[tex]\displaystyle \lim_{x\to a^+}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]

but f(a) = 8 regardless of a.

In the adjoining fig. In a circle with centre C and chord DE ,ahe CF perpendicular to chord DE.If diameter of a circle is 20cm and DE=16cm,then CF=?GIVE REASON​

Answers

DC=CF

Diameter=20cmRadius=20/2=10cm

We know

[tex]\boxed{\sf L=\dfrac{\theta}{180}\times πr}[/tex]

[tex]\\ \large\sf\longmapsto L=\dfrac{90}{180}\times \dfrac{22}{7}\times 10[/tex]

[tex]\\ \large\sf\longmapsto L=\dfrac{1}{2}\times \dfrac{220}{7}[/tex]

[tex]\\ \large\sf\longmapsto L=\dfrac{110}{7}[/tex]

[tex]\\ \large\sf\longmapsto L=15.5[/tex]

Now

[tex]\\ \large\sf\longmapsto CF=L+r-DE[/tex]

[tex]\\ \large\sf\longmapsto CF=15.7+10-16[/tex]

[tex]\\ \large\sf\longmapsto CF=25.7-16[/tex]

[tex]\\ \large\sf\longmapsto CF=9.7cm[/tex]

[tex]\large\sf\red{⟼L=18090×722×10}[/tex]

[tex]\begin{gathered}\\ \large\sf\red{ ⟼ L=\dfrac{1}{2}\times \dfrac{220}{7}}\end{gathered}[/tex]

[tex]\begin{gathered}{ \large\sf\red{⟼ L=\dfrac{110}{7}}\end{gathered}[/tex]

L=15.5

Now

CF=L+r−DE

CF=15.7+10−16

CF=25.7−16

⟼CF=9.7cm

Calculation: One score is 20. Two score is 40. Three score and 5 is 65.
How many is four score and 7?

Answers

Answer:

answer for the question is 87

Pls help!! find the area of the shaded region.

Answers

Answer:

134.1

Step-by-step explanation:

Area of the circle = 49π = 153.9 (rounded to the nearest tenth)

Segment area,

49/2(150π/360-sin(150))

= 19.8 (rounded to the nearest tenth)

Subtracting them,

153.9-19.8

= 134.1 cm²

Answered by GAUTHMATH

The area of the shaded region is 134.1 cm²

What is a segment of a circle?

'A segment of a circle is the region that is bounded by an arc and a chord of the circle.'

According to the given problem,

Area of the circle = πr²

                              = π × 7 × 7 cm²

                              = 153.9 (rounded to the nearest tenth)

Area of the Shaded region,

= [tex]\frac{r^{2} }{2}( \frac{angle in degrees * \pi }{360 - sin(angle in degrees)} )[/tex]

=[tex]\frac{49}{2}(\frac{150\pi }{360 - sin(150)})[/tex]

= 19.8 (rounded to the nearest tenth)

Subtracting them,

= 153.9 - 19.8

= 134.1 cm²

Hence, we can conclude that the area of the shaded region is 134.1cm²

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heeeellllp...

...

...

...

...

...

...

Answers

Answer:

didn't shade all of them

Write an inequality and show on a number line all numbers:

greater than (-3) but less than or equal to 3

(enter the inequality in terms of x)

Eg. x<-3; 3 7

Answers

Answer:

The inequality is:

- 3 < x ≤ 3

And the graph is attached

Greater than -3

x>-3-3<x

Less than or equal to 3

x≤3

For number line

put a open dot at -3

put a close dot at 3

join them

A tax on which of these products or services would not be considered a sin
tax"?
O A. Alcohol
O B. Gambling
O C. Electronics
O D. Tobacco

Answers

Answer: electronics

Hope that helps

The option that is not considered a sin tax is option B, gambling.

What is a sin tax?

A sin tax is a tax that is applied to "harmful things" to society or individuals. An example of this is Tobacco.

From the given options, the harmful ones are alcohol, gambling, and tobacco. These 3 are considered harmful, so would be included under the sin taxes.

Then the option that is not considered a sin tax is option B, gambling.

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X/4- 2 =x/8+4

What value of x makes the equation in the reference image true ?

Answers

Answer:

The answer to your question is x=48

Step-by-step explanation: If you have any questions regarding my answer, tell me in the comments and I will answer them. Have a good day.

x/4−2=x/8+4

1/4x+−2=1/8x+4

1/4x−2=1/8x+4

1/4x−2−1/8x=1/8x+4−1/8x

1/8x−2=4

1/8x−2+2=4+2

1/8x=6

8*(1/8x)=(8)*(6)

x=48

factorise the quadratic equation x square + 2 x + 36​

Answers

Answer:

Click on the link below to view the answer with the explanation in futher detail

Explanation:

Click the attached link to view the answer

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A rental car company charges a base fee of $40 plus $0.25 per mile for the first 100 miles the car is driven. The company charges the same base fee plus a reduced price of $0.18 per mile for cars driven over 100 miles. The piecewise function below represents the different amounts the company charges.If someone drives their rental car 150 miles, how much will they owe the rental company?$37.50$77.50$67.00$27.00 which of the following is equivalent to the expression below sqrt 8 - sqrt 72 + sqrt 50A. sqrt 2B. 3 sqrt 2C. 13 sqrt 2D. 7 sqrt 2 How fast does E. Colin manifest symptoms Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, give the solution with z arbitrary Question:Nearly the entire world uses the metric system for their measurements. The US is one in of three countries that does not use metric. Would you support changing school curriculum to teach the metric system as the primary measurement system in the US? Why or why not.(It must be 3-5 sentences long please) Ted, a used car dealer, entered into a written agreement to sell a car to Debra, a sixteen year old high school junior. The agreement provided that Ted would replace any defective parts for one year. Debra agreed to pay Ted $200 per month for three years (which she has done). The age of majority for the jurisdiction is eighteen. After six months, Debra's transmission fails but Ted refuses to replace it. If Debra (or a representative on her behalf) brings a lawsuit against Ted, it is more likely than not that the court will rule:_____.A. Ted will prevail because Debra was a minor when the contract was formed.B. The contract is illegal. C. The contract is void.D. Debra will prevail, as Ted is bound to the contract. If XZ = 46 and WR = 21, find WX. Find the product of these complex numbers.(8 + 5)(6 + 3) = Please hurry I will mark you brainliest 8(3 - i) = 5(2 - 2i) Given that the average of 2021 different positive integers is 3939, find the minimum possible value of the largest number among those 2021 positive integers. Ang mamamayang pilipino na naging mamamayan ng ibang bansa ay maaaring maging mamamayang muli ng pilipinas batay sa republic act____ How does porters competitive forces model help companies develop competitive strategies using information systems? If you were originally a lender, remain a lender even after a decline in interest rates. Will you get better or worse after the interest rate change? Analyze consumer behavior in the above situation. Why does Hazel tell George he should lighten the bag that is padlocked to his neck in, Harrison Bergeron? how does lead resemble chromium? A plaintiff who was a citizen of State A was traveling to adjoining State B to visit his relatives. While still in State A, the plaintiff's auto was struck in the rear by a vehicle driven by the defendant, a citizen of State B. The plaintiff suffered personal injuries and damage to his vehicle amounting to approximately $90,000. The plaintiff filed suit in the federal district court for State A and obtained proper service of process on the defendant. Under the laws of State A, the driver of a vehicle that strikes another vehicle in the rear is presumed to have acted negligently, regardless of the surrounding circumstances. Neither the law of State B nor the federal statutes or case law has adopted such a rule. Should the court apply the presumption in question In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.Graph of two intersecting lines. The line g of x is solid and goes through the points 0, 2, negative 2, 0 and is shaded in below the line. The other line f of x is dashed, and goes through the points 0, 6, 3, 0 and is shaded in below the line.The graph represents which system of inequalities? y < 2x + 6y x + 2 y 2x + 6y < x + 2 y < 2 over 3x 2y 2x + 2 None of the above simplify and reduce3x^2-12/9x+18noo links plss How much time is recommended for a cool-down? 1 to 5 minutes 5 to 10 minutes 10 to 15 minutes 15 to 20 minutes Describe how human activities cause desertification including desertifications impacts on soil and the role of modern agriculture in causing Desertification.