4. A rectangular plate has a perimeter of 28cm. determine the dimensions of the plate that give the maximum area​

Answers

Answer 1

Answer:

Step-by-step explanation:

The perimeter of a rectangle is the sum of its 2 widths and 2 lengths.

Lets call the width ‘W’ and the length ‘L’. The perimeter (P) is equal to 2W + 2L. So 28 = 2W + 2L which simplifies to 14 = W + L.

28/2=14

The area of a rectangle is the width multiplied by the length so the formula is A = W x L. We want to get rid of the length. So, if we rearrange the first equation 14 = W + L to make L the subject we get L = 14 - W. We can now substitute this into the area equation so we get → A = W x (14 - W). That’s your answer!


Related Questions

what is the answer please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The mean of the following set of fractions is D. 22/75

Answer:

22/75

Step-by-step explanation:

To find the average add up the values and divide the sum by the number of values.

Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem

=1/2+1/5+1/5+1/10+7/15

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

=15/30+6/30+6/30+3/30+14/30

Rewriting numerators over the common denominator,

=15+6+6+3+1430

Totaling the numerator:

=44/30

Reducing the fraction:

=22/15

Dividing by the number of values: 5

22/15÷5=22/15×15=22/75

Average of the fractions is:

Average=22/75

Please hurry!!!! I need answer ASAP!!!!!

David wants to buy a new bicycle
that cost $295 before a 40%
discount. He finds the cost after the
discount, in dollars, by evaluating
295 – 295(0.40). His brother Michael
finds the same cost by evaluating
295(1 – 0.40). What property can be
used to justify that these two
expressions represent the same cost
after the discount?
A. associative property
B. cominutative property
C. distributive property
D. subtraction property of equality

Answers

Answer:

subtraction property for sure its that

5. The circumference of the earth is about 24,855miles. Find the surface area of the Western Hemisphere of Earth.​

Answers

Answer:

oh my answer is in the explanation

Step-by-step explanation:

it

is

quite

big

Jose wants to pay off his credit card balances within 18 months. He is trying to decide if he should use his $1,750 in
savings to pay off part of the balances or if he should transfer the balances to a new card with a low introductory
rate. The new credit card has an introductory rate of 8% but charges a balance transfer fee of $60 for each balance
transfer. Jose decides to pay off Credit Card B using his savings and then transfer the balance of Card A to the new
card. Which of the following options shows the amount of Jose's new monthly payment?
Credit Card A: $1,154
Credit Card B $1,469
A. $90.43
B. $68.25
C. $71 80
D. $75.34

Answers

Answer:

ANSWER IS C: 71.80

Step-by-step explanation:

hope this helps :D you got this!!

The amount that corresponds to the new monthly payment of Jose is approximately $75.34. Hence, option D is correct.

What is use of credit card ?

Credit cards are a widely used financial tool that allow individuals to make purchases on credit. The main use of a credit card is to allow the cardholder to borrow money from the card issuer

If Jose decides to pay off Credit Card B using his savings of $1,750, he will have a remaining balance of $1,154 on Credit Card A.

If he transfers the balance of Credit Card A to the new card with a low introductory rate of 8%, he will incur a balance transfer fee of $60.

The total balance transferred =  $1,154 + $60 = $1,214.

To determine his new monthly payment, we need to calculate the monthly interest rate on the new card.

At an annual interest rate of 8%, the monthly interest rate is :

8% / 12 = 0.67%.

Using an online loan calculator or spreadsheet, we can calculate that the monthly payment required to pay off a balance of $1,214 in 18 months at a monthly interest rate of 0.67% is $75.34 (rounded to the nearest cent).

Therefore, the answer is D. $75.34, which represents Jose's new monthly payment.

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A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water
bottle. Which of the following methods would work to create the larger water bottle with the intended volume?

1. Double the radius of the original water bottle. Keep the height the same.

II. Double the height of the original water bottle. Keep the radius the same.

III. Double the height and double the radius of the original water bottle

IV. Quadruple the height of the original water bottle. Keep the radius the same

o I and IV
O I and 11
O I, II, III, and IV
O III and IV

Answers

Answer:

option 3, double the height and with of original bottle

The methods which will create the larger water bottle with the intended volume is 1 and IV.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given that,

A water bottle company is designing a new larger cylindrical water bottle that is intended to hold 4 times as much water as the original cylindrical water bottle.

Volume of a cylindrical shape = π r² h

Let V be the original volume.

If radius is doubled, then the new volume is,

V' = π (2r)² h = 4(π r² h) = 4V

So 1 is an option.

When the height is Quadrupled,

V' = π r² 4h = 4(π r² h) = 4V

Hence the correct options are 1 and IV.

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 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III

Answers

Given:

[tex]\sin x=-\dfrac{15}{17}[/tex]

x lies in the III quadrant.

To find:

The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

[tex]\sin^2 x+\cos^2 x=1[/tex]

[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]

[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]

[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]

x lies in the III quadrant. So,

[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]

[tex]\cos x=-\dfrac{8}{17}[/tex]

Now,

[tex]\sin 2x=2\sin x\cos x[/tex]

[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]

[tex]\sin 2x=-\dfrac{240}{289}[/tex]

And,

[tex]\cos 2x=1-2\sin^2x[/tex]

[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]

[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]

[tex]\cos 2x=\dfrac{289-450}{289}[/tex]

[tex]\cos 2x=-\dfrac{161}{289}[/tex]

We know that,

[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]

[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]

[tex]\tan 2x=\dfrac{240}{161}[/tex]

Therefore, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].

Which one? Do i chose

Answers

Answer:

226 inches cube

Step-by-step explanation:

The volume of the cylinder is the area of the base X height therefore it would be 3^2 * 3.14 * 8 = 72 * 3.14 = 226.08.

Answer:

151 in^3

Step-by-step explanation:

pi x 3^2 x 5.5 (the approximate water level)

= 155

151 is the closest answer

A bird flying at an elevation of 110 ft swoops down to grab a mouse on top of a 3 foot tall rock. What is the change in the birds elevation?

Answers

Answer:

Bird swoops down by 107 feet to grab a mouse on top of a [tex]3[/tex] foot tall rock

Step-by-step explanation:

Given

The level of mouse from the ground is [tex]3[/tex] foot as it is on the top of a  [tex]3[/tex] foot  tall rock.

The level of bird at which it is flying from the ground is [tex]110[/tex] feet

Change in elevation when the bird swoops down to grab the  mouse

[tex]= 110 -3\\= 107[/tex]feet

Bird swoops down by 107 feet to grab a mouse on top of a [tex]3[/tex] foot tall rock


[tex]product \: of \: 5x \: 6y \: and7z[/tex]

Answers

Answer:

210xyz

Step-by-step explanation:

Given

5x × 6y × 7z

= 5 × x × 6 × y × 7 × z

= 5 × 6 × 7 × x × y × z

= 210xyz

At 2:45 in the afternoon, the tree cast a 9-foot shadow. Just after sunrise, the shadow had been 24 feet. What was the % change in the shadow’s length?

Answers

24% bc it makes sense

Is 32 + 33 equal to 35 ? Explain.
!!! help

Answers

Answer:

no

Step-by-step explanation:

32+33=65

PLEAS HELP PLEASE ASAP​

Answers

Answer:

9 it is

Step-by-step explanation:

mode is most common so the answer is -7

What is -8w-4 simplified?

Answers

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

[tex] - 4(2w + 1)[/tex]

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]

[tex] - 8w - 4[/tex]

Bind the expression with the common factor -4

[tex] - 8w - 4[/tex]

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Answer: −4(2w+1)

Step-by-step explanation: Hope this help :D

he line segment is rotated by 270 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′?
1. C′D′ is 4 units long.
2. C′D′ is 8 units long.
3. C′D′ is parallel to CD.
4. C′D′ is half the length of CD.

Answers

Answer:

it is parrell

Step-by-step explanation:

Need help! Marking brainliest. Need step by step solution

Answers

Answer:

400 J

Step-by-step explanation:

Kinetic energy = ½ mv²

mass = 50 kg

velocity = 4 m/s

Kinetic energy = ½×50×(4)²

= ½×50×16

= 50×8

= 400 J

Option Four

[tex]mass(m) = 50kg \\ velocity(v) = 4ms {}^{ - 1} \\ kinetic \: energy = \frac{1}{2} mv {}^{2} \\ = \frac{1}{2} \times 50 \times (4) {}^{2} \\ = 400[/tex]

3. The width of a rectangle is 4 feet less than the length. The area is
12 ft. Find the dimensions of the rectangle.

Answers

Answer:

L = 6, w = 2

Step-by-step explanation:

Let w = width of rectangle

Let L = length of rectangle

w = L - 4

Area of rectangle = Lw

L (L - 4) = 12

L^2 - 4L = 12

L^2 - 4L - 12 = 0

(L - 6)(L + 2) = 0

L - 6 = 0

L = 6 (the other option doesn't work because dimensions can't be negative)

w = L - 4

w = 6 - 4

w = 2

Double check

A = Lw

A = 6 x 2

A = 12

It matches so we are right.

Which is more 35 inches or 3 feet

Answers

Answer:

3 feet

Step-by-step explanation:

3 feet is more because 35 inches = 2 feet and 11 inches.

2 1/5+6 4/5 6 5/12 -2 1/12 11 8/9+4 1/3 7 1/6-5 3/4 11/18+ 6 1/10 15 1/3- 2 5/8 mixed numbers

Answers

Answer:

2 1/5+6 4/5 =  9

6 5/12 -2 1/12 = 4 1/3

11 8/9+4 1/3 =16  2/9

7 1/6-5 3/4 = 1  5/12

11/18+ 6 1/10 = 6 64/90

15 1/3- 2 5/8 = 12  17/24

Step-by-step explanation:

Using the technique of mixed numbers to add the fractions

2 1/5+6 4/5

=2+6 + 1/5+4/5     add the whole numbers separately and then the fractions

=8 5/5= 9

6 5/12 -2 1/12

=6-2 + 5-1/12

=4 4/12

= 4 1/3

11 8/9+4 1/3

=11+4 +8/9+1/3     adding the whole numbers separately

=15 + 8+3/9

= 15+11/9             adding the fractions separately

= 15+1+2/9

= 16+2/9

=16  2/9

7 1/6-5 3/4

= 7-5 +1/6 -3/4   subtracting the whole numbers separately

= 2+ 2-9/12   subtracting the fractions separately

= 2-7/12  

= 24-7/12

= 17/12

=1  5/12

11/18+ 6 1/10

= 11/18 + 61/10

= 110 +1098/180

= 1208/180

= 6 128/180

= 6 64/90

15 1/3- 2 5/8

=15- 2 + 1/3- 5/8

=13 + 8- 15/24

= 13 + -7/24

= 312-7/24

= 12 17/24

You charge $2 per evening plus $5 per hour to babysit and you only charge for whole hours. You have a goal to earn at least $121 for 8 evenings of babysitting. What is the least amount of hours in total you need to babysit for the evenings?

Answers

Answer:

8 hours

Step-by-step explanation:

Answer:

21 hours

Step-by-step explanation:

8 evenings x $2 per evening = $16

$121 - $16 = $105

$105 / $5 per hour = 21 hours

to check:

21 hours x $5 per hour = $105

8 evenings x $2 per evening = $16

$105 + $16 = $121

The PS4 cost $650 when it first came out. Two years later it was only worth $250. By what percentage did the price decrease?

Answers

Answer:

It decreased by 61.5%

Step-by-step explanation:

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Answers

Answer: 3.6

Step-by-step explanation:

Using pythagorean we can determine that a^2+b^2=c^2

In this case the leg and adjacent make a distance of 2 and 3 we can substitute for a and b so

[tex]2^{2}+3^{2}=c^{2}[/tex]

13=[tex]c^{2}[/tex]

c= 3.605 rounded is 3.6

Bruce drewa scale of a resturaunt the scale he used was 1 milimeter 10 meters the resteraunt kitchen is 3 milimeters long in the drawing how long is the actual kitchen

Answers

Answer: 30 meters.

Step-by-step explanation:

Since the scale used by Bruce in the drawing that she made is:

1 milimeter = 10 meters

If the restaurant kitchen is 3 milimeters long in the drawing, the length of the actual kitchen will then be:

1/3 = 10/x

Cross multiply

1 × x = 3 × 10

x = 30

Therefore, the actual length is 30 meters.

HELP ASAP PLS!!! I WILL MARK BRAINLIEST, PROMISE!!!
Select the correct answer.
Which number is a rational number?
this is for PLATO, btw

Answers

Answer: 17.156

Step-by-step explanation:

A rational number is any number that has a pattern (in decimals) and can be written as a fraction. 17.156 is a terminating decimal. So its a predicting pattern  therefore is a rational number.

With spring break approaching, Travis plans to play more 2k every day. Right nowhe plays about 40 minutes per day. He expects that number will increase by 10 minutes per day

Write an equation that shows the number of minutes of 2k played as a function of the day

Answers

Y = 10x + 40 where x = number of days

Confused on this one help me solve for point B

Answers

Answer:

1,-1

Step-by-step explanation:

because section be is for +,-

Answer:

1,-1

Step-by-step explanation:

Andresssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

Anderess?

Step-by-step explanation:

please help me do it

Answers

Answer:

D) FJ is a perpendicular bisector

What is the SLOPE and Y-INTERCEPT of the following equation. y = -x +7 ​

Answers

The slope is m=-1
Because the formula is y=mx+b (b is the intercept) (or replace 0 with x so that will be y=7)
And the Y intercept is 7 :)
I hope this helped!

Taylor is producing graphic T-shirts that
will come in three different colors. He
randomly surveys 100 people, asking which
one of the three colors they prefer. Of the
100 people surveyed,55 say that they prefer
the white T-shirt. If Taylor is going to produce
500 graphic T-shirts, about how many should
be white?

Answers

275 because 55x5 is 275 and 100 is 1/5 of 500 meaning you multiply it proportionally by 5

If Taylor is producing graphic T-shirts that will come in three different colors then about 275 graphic T-shirts should be white.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Since Taylor randomly surveyed 100 people and 55 of them said they prefer the white T-shirt

we can estimate the proportion of people who prefer the white T-shirt as:

p = 55/100 = 0.55

We can assume that this proportion is a good estimate of the true proportion of people who will prefer the white T-shirt among all potential customers.

To estimate the number of people who will prefer the white T-shirt among 500 potential customers

The formula for the expected value of a binomial random variable is

E(x) = np

Substituting the values, we get:

E(x) = 500 × 0.55 = 275

Therefore, about 275 graphic T-shirts should be white.

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Cindy put equal sized marbles into a bowl. Then, she shook the bowl until 3 marbles fell out. Is this a random sample of the marbles? YESS OR NOO?
ANSWER FAST!!

Answers

Answer:

Yes

Step-by-step explanation:

I'm assuming this is right

No because she shook them in order for them to fall
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