Help me please
a) The upper bound for the area of the rectangle.
b) The lower bound for the perimeter of the rectangle.

Help Me Please A) The Upper Bound For The Area Of The Rectangle.b) The Lower Bound For The Perimeter

Answers

Answer 1

Answers:

Part (a) upper bound for area = 4527.7056 square cmPart (b) lower bound for perimeter = 278 cm

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

Explanation:

Part (a)

The horizontal portion is shown to be 87.3 cm long. This is the result after rounding has occurred. Specifically, rounding to one decimal place (tenths). The question is: What could the number have been before rounding?

You have to think in reverse of the usual rounding process.

The values 87.25, 87.26, 8.27, ... 8.33, 87.34 all round to 87.3 when we round to one decimal digit. Note the hundredths digit is increasing by 1 each time. We can see that 87.34 is the largest possible value for the horizontal piece. After that, 87.35 will round to 87.4 which is just out of reach.  

Through similar logic/reasoning, the vertical side can be at most 51.84 cm.

The area of the rectangle could be 87.34*51.84 = 4527.7056 which is the upper bound for the area. This is the largest possible area, given the values in the diagram, since we made each value as large as possible.

In short, 4527.7056 square cm is the max area.

-----------------------------------

Part (b)

We use the idea of part (a), but we'll use the smallest possible values this time.

So we go with 87.25 for the horizontal portion and 51.75 for the vertical portion.

Compute the perimeter with these smallest dimensions.

P = 2*(length + width)

P = 2*(87.25 + 51.75)

P = 278

The smallest perimeter possible is 278 cm which is the lower bound of the perimeter. This is guaranteed to be the smallest perimeter possible because we made the sides as small as possible, while staying in the restrictions as discussed in the previous section.


Related Questions

In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot......

Answers

Answer:

240.6 ft is your answer of your question.

Answer:

240.6 feet

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASlet's solve:

to find x we will use cos function

[tex] \quad \: \cos( \theta) = \dfrac{adj}{hypo} [/tex]

substitute the value of [tex]\theta[/tex] and adj:

[tex] \quad \: \cos( {67}^{ \circ} ) = \dfrac{94}{x} [/tex]

cross multiplication:

[tex] \quad \: x\cos(67^{\circ})= 94 [/tex]

divide both sides by cos(67°) :

[tex] \quad \: \dfrac{x \cos( {67}^{ \circ} ) }{ \cos( {67}^{ \circ} ) } = \dfrac{94}{ \cos( {67}^{ \circ} ) } \\ \therefore \: x = 240.6[/tex]

A crate weighing 2400 N is lifted by a crane

to a platform 5.2 m above the ground. What

is the gravitational PE of the crate?

Answers

Answer:

12,480Joules

Step-by-step explanation:

GPE = mass * acceleration due to gravity * height

Since Force = mass * acceleration due to gravity

GPE = Force * Height

GPE = 2400 * 5.2

GPE = 12,480Joules

Hence the gravitational PE of the crate is 12480Joules

Let x = 6. What is the value of the expression 5x2+x−7? Enter your answer in the box.

Answers

179 is the value of the expression

Step-by-step explanation:

I did math

unos amigos compraron 1/2 de pizza hawaiana 2/4 de peperoni 1/2 de pollo y 3/4 de salchicha ¿cuanta pizza compraron en total?​

Answers

Answer:

Los amigos compraron 2 pizzas más [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Para conocer la cantidad de pizza que los amigos compraron en total, debes sumar la cantidad de cada clase que compraron:

[tex]\frac{1}{2} +\frac{2}{4} +\frac{1}{2} +\frac{3}{4}[/tex]

Para sumar estos valores, debes encontrar un denominador común. Como 4 es múltiplo de 2, el 4 puede ser usado como denominador común. Este común denominador se divide entre el denominador de cada fracción. El resultado de la división se multiplica por el numerador de la misma fracción. Una vez que se divide y se multiplica, el resultado se coloca en el numerador. Realizando el mismo procedimiento con cada fracción y se realiza la suma con los numeradores que resultaron:

[tex]\frac{1}{2} +\frac{2}{4} +\frac{1}{2} +\frac{3}{4}=\frac{2+2+2+3}{4} =\frac{9}{4}[/tex]

Siendo [tex]\frac{9}{4} =2.25=2\frac{1}{4}[/tex], entonces los amigos compraron 2 pizzas más [tex]\frac{1}{4}[/tex]

the shaded model represents 100%
Which model represents 33 1/3
PLZZZZZ HELPPPPPPPPPPPPPP

Answers

Answer: the picture is blurry but it would be the third option. One box out of three shaded.

Step-by-step explanation:

33 1/3 is one third of 100.

Choose the picture that has 1 out of three boxes shaded. This would represent one third.

Please anwser this ASAP

Answers

It would be 3/1 I think

Solve for x based on the following system of equations:
x + y = 5
2x + 3y = 20

-10
-5
-2
5
10​

Answers

Answer:

x = -5

Step-by-step explanation:

x + y = 5 can be also written as 3x + 3y = 15 by times 3 on both side, let it be equation (1), then let 2x + 3y = 20 be equation (2), then use equation (2) - (1), can get (2x - 3x) + (3y - 3y) = 20 - 15 ---> -x = 5, then x = -5.

Which best describes why these two figures are similar or not similar?

Answers

They are not similar because their corresponding angles are not congruent

Answer:

first one top left

Step-by-step explanation:

Sean practiced his violin for 3/4 of an hour each day for 6 days. How many
hours did Sean practice at the end of 6 days?

Answers

Answer:

4 and 1/2 hours at the end of 6 days :)

What is the answer for
a-3=9

Answers

a=12
Because 12-3=9
___________

Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. What is the difference between Sylvia and her sisters reading rates, in pages per hour? A B. 8 C 24 30​

Answers

Answer:

6

Step-by-step explanation:

Silvia: 2 pages to 5 minutes

      into...

Silvia: 1 page to __ minutes

Find Unit Rate : 5/2= 2.5

Unit Rate for Silvia is  2.5

Written out : 2 pages x 2.5 = 5 minutes

Example : 1 page to 2.5  minutes

What we found : ___ pages to 60 minutes(60 divided by 2.5) is  

24 pages to 60 minutes

Silvia's sister: 3 pages to 6 minutes

     into...

Silvia's sister: 1 pages to ___ minutes

Find Unit Rate : 6/3= 2

Unit Rate for Silvia is  2

Written out : 3 pages x 2 = 6 minutes

Example : 1 page to 2  minute

What we found : ___ pages to 60 minutes(60 divide by 2) is

30 pages to 60 minutes  

Final Step : 30 - 24 = 6

What is 2 - -3.......

Answers

Step-by-step explanation:

2 - ( - 3)

= 2 + 3

= 5

Hope it helps

Answer:

5

Step-by-step explanation:

2 - ( - 3)  = 2 + 3  = 5

Which expressions are equivalent to 10a - 25 + 5b

Answers

Answer:Move −25-25.

10a+5b−25

Step-by-step explanation:

Answer:

(-2a +5 - b)(-5)

Step-by-step explanation:

HELP ASAP
The factorization of a trinomial is modeled with algebra tiles. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled negative. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 12 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled negative x, the 3 tiles below + x squared are labeled + x, and the 6 tiles below the negative x tiles are labeled negative. Which trinomial is factored?
x^2 + 3x – 6
x^2 + 5x – 6
x^2 + 3x – 2
x^2 + x – 6

Answers

2rd one I could be wrong tho

Answer:

its A or the first one ;)

Step-by-step explanation:

Crystal earns $5.50 per hour mowing lawns.
a. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.
b. How much does Crystal earn if she works 3 hours and 45 minutes?


m(h) = 5.50h; $18.98


m(h) = [tex]\frac{h}{5.50}[/tex]; $0.68


m(h) = 3h + 45; $61.50


m(h) = 5.50h; $20.63

Answers

Answer:

For this case, the first thing we must do is define a variable:

h: number of hours worked.

We now write the equation that models the problem:

 

So, for 3 hours and 45 minutes we have:

 

Remember that we have the following conversion:

1 hour = 60 minutes

Substituting values:

 

Answer:

Crystal earns about:

m = $ 20,625

Step-by-step explanation:

Answer:

1) Required equation  

2)Crystal earns $20.625 in 3 hours and 45 minutes.

Step-by-step explanation:

Given : Crystal earns $5.50 per hour mowing lawns.

To find :

1)  Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.

It is given that Crystal earns $5.50 per hour mowing lawns.

Let m is the amount of money earned

and h is the number of hours spent

So, The equation form by the statement is

2) How much does Crystal earn if she works 3 hours and 45 minutes

1 hour=60 minutes

So, for 3 hours and 45 minutes

In 1 hour she earn $5.50

In 3.75 hours she earn  

Crystal earns $20.625 in 3 hours and 45 minutes.

There are two identical glasses. One glass is 3/5 full. The other is 7/8 full.
Water is poured from one glass to the other so that one of them is now full.
What fraction of the other glass is filled?
[2]​

Answers

Answer:

A: 19/40

Step-by-step explanation:

LCD = 40

7*5=35 ->35/40

3*8=24 ->24/40

combine like terms

for simplicity, I'll use a mixed number

1 19/40

subtract your "full glass"

1 19/40 - 1 = 19/40

Pls help I don’t understand. I will give 5.0/5 and brainliest

Answers

Answer:

The 3rd one

Step-by-step explanation:

I took the Quiz

PLEASE HELP!!! ILL GIVE BRAINLIEST!!! The graphs below have the same shape. What is the equation of the blue
graph?
f(x) = x
W
g(x) = ?
g(x) =
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x - 4)2 - 1
O c. g(x) = (x + 4)2 - 1
O D. g(x) = (x+4)2 + 1

Answers

Answer:

the answer for the problem is option B. g(x) = (x - 4)2 - 1

4. On a 3-hour trip, a car travels 156 miles.
What is the average speed of the car on this
trip?

Answers

Answer:

v = 52 mph

Step-by-step explanation:

Given that,

The distance travelled by the car, d = 156 miles

Time, t = 3 hour

We need to find the average speed of the car. The formula for the average speed is given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{156}{3}\\\\v=52\ mph[/tex]

So, the average speed of the car is equal to 52 mph.

11 Points 11 Points NEED HELP PLEASE

Answers

Answer: a

Step-by-step explanation:

So XY is a quarter of the circumference, that means the other part is 3/4

circumference is 2pir which is 20pi

20pi x 3/4 = 15 pi m

Answer:

The answer is 30πm.

Hope it helps uh.

Thanks

50-(14+12+2(5+2(2)+3)

Answers

Answer:

0

Step-by-step explanation:

50-(14+12+2 (5+2 (2)+3)

50-(28 (7 (2)+3)

50-(28 (14+3)

50-(28×17)

50-476

426

What is the solution of 10(w + 3)= 70?

Answers

Answer:

The solution is w=4

simply

-30

divide by 10

Answer:

W=4

Step-by-step explanation:

1 0 ( + 3 ) = 7 0

1 0 + 3 0 = 7 0

Subtract  30  from both sides of the equation

simplify

10w=40

Divide both sides of the equation by the same term

10/40

W=4

On the graph shown, line C is the parent function
f(x) = log2 (x).
Which function is graphed as line D?
O g(x) = log2 (x) - 1
O g(x) = log2 (x - 1)
O g(x) = log2 (x) + 1
O g(x) = log2 (x + 1)

Answers

Answer:

g(x) = log2 (x) – 1

Step-by-step explanation:

I just did this on Edge

Fond the slop of the linè that passes though (3,- 59) and (57, -41)​

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

sam divided his selary equally into two One part was saved for his family and the other part was for his expenses. He withdrew $200 from his share to purchase a watch if he has $215 in his account now, calculate Sam salary​

Answers

Answer:

His salary is $830

i need help please asap its due

Answers

Answer:

D.) $4 per min.

Step-by-step explanation:

in the first increase we go up 5 minutes and up $20

this trend stays equal just with 10 minute and $40 increases

this means that there is $20 for every 5 minutes so to find the unit rate we divide $20 by 5 which gives us 4

hope this helps chu babe <3

Solve the problem in the photo.

Answers

Answer:

A, B, C, D, and F

Step-by-step explanation:

Replace x with the number options (remember to multiply the options by a negative one since x is negative).

3*-1=-3 -3 is greater than or equal to -4

-3*-1=3 3 is greater than or equal to -4

4*-1=-4 -4 is greater than or equal to -4

-4*-1=4 4 is greater than or equal to -4

4.001*-1=-4.001 -4.001 is not greater than or equal to -4, so this does not work

-4.001*-1=4.001 4.001 is greater than or equal to -4

Hope this helps!

can someone help me please ​

Answers

Answer:

The last number line

[tex].[/tex]

help me plzzzzzzzz!!!!!!!!!!!!!!!

Answers

61.64 bc 13.4 times 4.6 equals 61.64

Helpp!!!! I need the correct answer
I will mark you brainliest
I need a 3 questions answers not just 1 question.

Answers

Answer:

Negative Association, Linear Association and Non-Linear Association

Step-by-step explanation:

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