Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 924 square milimetres and its perimeter is 122 milimetres.

Answers

Answer 1

Length =l

Height = h

Area function = l * h = 924

Perimeter function = 2i + 2h = 122

Divide by 2

I + h = 61.

Plug in I or h for the other variable

I * (61 - I) = 924

61i - i^2 = 924

Factor the function

(-I + 28)(I - 33) = 0

l = 33 as l cannot be negative

61 - 33 = 28

h = 28

Difference between h and l is 33-28=5


Related Questions

someone actually help :((( need to finish exam before 12 !!
f(x)=17,000(0.87)x

The value of a certain SUV, in dollars, x years from its model year can be predicted by the exponential function shown in the table.

x| 0| 1| 2| 3| 4| 5|
g(x)| 21,000| 18,690| 16,634.10| 14,804.35| 13,175.87| 11,726.52|

How much more will the SUV be worth than the car 5 years after their model years? Round your answer to the nearest cent.

Answers

Using the exponential function, it is found that the SUV is worth $3,253.36 less than the car after 5 years.

The exponential function for the value of the SUV, after x years, is given by:

[tex]f(x) = 17000(0.87)^x[/tex]

Hence, after 5 years, the value is:

[tex]f(5) = 17000(0.87)^5 = 8473.16[/tex]

From the table, after 5 years, the car is worth $11,726.52.

11726.52 - 8473.16 = 3253.36.

The SUV is worth $3,253.36 less than the car after 5 years.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25983065

(giving brainlelist if answered correctly!) which of the following inequalities is -4
?

Answers

-5 is always smaller than -4. So, x might be -4. So, A is an option you should select.2 is greater than -4. So, x might be -4. So, B is an option you should select.If we place -4 in x, we get 3(-4)+4, i.e., -12 + 4 = -8. So, 3x + 4 = -8. Therefore, you cannot select C because it cannot be greater than, it should be always equal to.5(-4) = -20, 2(-4) - 3 = -8 -3 = -11. -11 is greater than -20 but they are never equal. So, you cannot select D.4 - 2(-4) = 4 + 8 = 12. 12 is greater than -6. Therefore, you should select E.

Answer

A, B, E.

Hope you could get an idea from here.

Doubt clarification - use comment section.

g(-2) mathematics what’s the answer I’m on a time limit this is due tomorrow omggggg

Answers

Answer:

-2g

Step-by-step explanation:

Distribute G to -2

In simple words multiply G and -2

HELP!!!! PLZZZZZZZZZZ

Answers

Answer:

2x³ + 4x² cub. inches

3x³ + 36x² + 105x cub. inches

x³ + 32x² + 105x cub. inches

Step-by-step explanation:

Volume of the small box = x × 2x × (x + 2)

= 2x²(x + 2)

= 2x³ + 4x² cubic inches

Volume of the large box = (x + 5)(x + 7) × 3x

= (x² + 12x + 35) × 3x

= 3x³ + 36x² + 105x cubic inches

Difference between Volume of large box and small box = 3x³ + 36x² + 105x - (2x³ + 4x²)

3x³ + 36x² + 105x - 2x³ - 4x²

x³ + 32x² + 105x cubic inches

y-2=-2/1(x-4) in slope intercept form

Answers

Answer:

y=2x-6

Step-by-step explanation:

y-2=-2/1(x-4)

y-2=2x-8

+2 +2

y=2x-6

lcm of 5,12 and 20????,

Answers

Answer: 60

Step-by-step explanation:

Ella is reading a map with a scale of 1 in. = 20 mi. On the map, the distance Ella must drive is 4.25 in.

How many miles will Ella drive?

Answers

Answer:

85 miles

Step-by-step explanation:

Solve by proportions:

1 in ⇒ 20 mi4.25 in ⇒ x

x = 4.25*20 / 1 = 85 mi

Scale is 1in =20mi

Distance in map=4.25in

Actual distance

4.25(20)85mi

A bag contains 4 red balls and 6 blue balls. If 3 balls are selected at random, find the probability of selecting 3 red balls?

Answers

The probability is 4⋅3⋅2⋅1/10•9•8•7=(4/4)(6/0)/(10/4)=1/210 so the probability of selecting 3 red balls would be 1/210

If a batch of cookies uses
2
2
3
cups of sugar, then how much sugar is needed to make 5 batches of cookies

Answers

Answer:

13 1/3 cups of sugar

Step-by-step explanation:

what is the answer and steps to 18(2 − 1) ÷ 3 + 4

Answers

The answer is 10, by using pemdas you can just either add, subtract, multiply or divide.

10

Hi! When you see problems like this, always refer to PEMDAS!

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Also note that you go from left to right and parenthesis is always first!

18(2-1)÷3+4

Start with the parenthesis and subtract 2 from 1. That'll leave you with 1.

18(1)÷3+4

Next is multiplication since there are no exponents. Multiply 18 by 1. That'll leave you with 18.

18÷3+4

Now, divide 18 from 3. That'll leave you with 6.

6+4

Finally, you may add the final two. 6 plus 4 is 10.

With that being said, the correct answer is 10.

What is 3894 x 6? Use the distributive property to solve.

Answers

Answer: 23,364

Step-by-step explanation:6 x 3000 + 6 x 800 + 6 x 90 + 6 x 4

Can someone help me with this

Answers

Answer:

10 square inches

Step-by-step explanation:

[tex]area \: formula \: = \frac{1}{2} bh[/tex]

h= 5 inches

b= 4 inches

[tex] \frac{1}{2} \times 4 \times 5 = 10[/tex]

Hi, I already answered this question on your other post (seems like you posted this question twice): https://brainly.com/question/26075347 (check that link out)

6. Kendrick bought 4 bags of bagels. Every bag had a dozen bagels. How many bagels did Kendrick buy?​

Answers

Answer:

Kendrick bought 48 bagels.

Step-by-step explanation:

For this question, you would simply have to multiply 4 by 12.

Dozen means 12.

4x12=48

48 bagels.

Select the correct answer from each drop-down menu. Identify the type of chart described and complete the sentence. A (blank) chart shows open and close prices and highs and lows, but over a long time period it can also show pricing (blank) .

Answers

Based on the information given, it can be deduced that the chart that is being described is the OHLC chart.

It should be noted that an open-high-low-close chart(OHLC) chart simply means a type of chart that's used to illustrate the movements in the price of a financial instrument for a particular period of time.

The vertical line on the chart illustrates the price range over a unit of time. It's useful in assessing volatility as it shows the full price range of the period.

Learn more about charts on:

https://brainly.com/question/14323743

Answer:

Candlestick & trends.

Step-by-step explanation: Got it correct on edmentum!

19. Ram and Rahim are partners in a firm sharing profits in the ratio of 3: 2. Kabir is admitted as a partner for 1/5th share of profits. Machinery would be appreciated by 10% (Book Value of 80,000) and Building would be depreciated by 20% (Book Value of 2,00,000). Unrecorded Debtors of 1,250 would be brought to books. There is a liability of 2,750 included in Sundry Creditors that is not to be paid. What will be the Gain (Proñt Loss on revaluation? (a) Loss of 28,000. (c) Profit 28,000. (6) Loss 40,000. (d) Profit of 40,000.​

Answers

Answer:

make me brainlist

Step-by-step explanation: firm sharing profits and losses in the ratio of 3

2. From Ist April, 2020 they decided to share the future profits equally. On this date, the General Reserve

showed a balance of 1,60,000; Revaluation of fixed assets resulted into a gain of "1,02,000 and stock resulted

to a loss of 22,000. On this date, the goodwill of the firm was valued at $3,60.000

Pas necessary journal entries for the above transactions on reconstitution of the form

Bolutions

Which equation below represents an equation in standard form?

Answers

Answer:

C

Step-by-step explanation:

standard form is ax + by = c, which is true for the third option.

Help me plz it’s number 11 I need this urgent

Answers

Answer:

f = -9

Step-by-step explanation:

3(x)

3(-9)

-27

A train travels 150 miles in three hours at the same rate how many miles will it travel in eight hours

Answers

Answer:400

Step-by-step explanation:

150 / 3 = 50 so 50 x 8= 400

The price of an item has risen to $152 today. Yesterday it was $95. Find the percentage increase.

Answers

Answer:

60% increase

Step-by-step explanation:

152 - 95 = -57

57 / 95 = 0.6

0.6 x 100 = 60

Erika drinks at least 40 ounces of water a day

Answers

Answer:  40 ounces or 0.3125 of a gallon

i didnt quite understand what you were asking but here is it broken down. :)

A ball is thrown upward and outward from a height of 8 feet. The height of the ball, f(x), in feet, can be modeled by
f(x) = -0.1x² +0.6x+8
where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to solve parts (a) through (c).
WEB
a. What is the maximum height of the ball and how far from where it was thrown does this occur?
The maximum height is feet, which occurs feet from the point of release.
(Round to the nearest tenth as needed.)

Answers

Check the picture below.

let's change the decimal values to fractions, say 0.1 to 1/10 and 0.6 to 6/10 = 3/5, so then

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-\frac{1}{10}}x^2\stackrel{\stackrel{b}{\downarrow }}{+\frac{3}{5}}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{~~ \frac{3}{5}~~}{2\frac{-1}{10}}~~,~~8-\cfrac{\left( \frac{3}{5} \right)^2}{4\left(-\frac{1}{10} \right)} \right)\implies \left(\cfrac{~~ \frac{3}{5}~~}{\frac{1}{5}}~~,~~8+\cfrac{\frac{9}{25}}{\frac{2}{5}} \right)[/tex]

[tex]\left( \cfrac{3}{5}\cdot \cfrac{5}{1}~~,~~8+\left[ \cfrac{9}{25}\cdot \cfrac{5}{2} \right] \right)\implies \left(3~~,~~8+\cfrac{9}{10} \right)\implies \stackrel{\stackrel{\textit{maximum height}}{\qquad \downarrow }}{\underset{\underset{\textit{horizontal distance}}{\uparrow \qquad \quad }}{\left( 3~~,~~8\frac{9}{10} \right)}}[/tex]

Solve: 5(x+2) = 3x + 5

Answers

Answer:

-2.5

Step-by-step explanation:

5(x+2) = 3x+5

5x+10=3x+5

5x-3x=5-10

2x=-5

x=-2.5

Answer: -5/2

Step-by-step explanation: the explanation and the answer above, -2.5 is correct but it can be simplified to -5/2 for those working in Apex

ABCD is a parallelogram. Determine the value of a.

Answers

Answer:

a = 6

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , so

BA = CD , that is

7a - 3 = 3 + 6a ( subtract 6a from both sides )

a - 3 = 3 ( add 3 to both sides )

a = 6

Answer:D

Step-by-step explanation:

I took the test

The equatorial radius of Earth is approximately 6 × 103 km, while the equatorial radius of Saturn is approximately 6 × 104 km. Which of the following is true?
A.
The equatorial radius of Saturn is approximately one hundred times that of Earth.

B.
The equatorial radius of Earth is approximately ten times that of Saturn.

C.
The equatorial radius of Saturn is approximately ten times that of Earth.

D.
The equatorial radius of Earth is approximately one hundred times that of Saturn.

Answers

Answer:

Step-by-step explanation:

C.

The equatorial radius of Saturn is approximately ten times that of Earth.

The ordinal is identical

The exponent of 10 is 4 - 3 = 1 greater for Saturn than for Earth

10¹ = 10 times

What is the area of a triangle with the Base of √10 and a height of √13

Answers

Answer:

5.70

Step-by-step explanation:

[tex] a = \frac{1}{2} bh \\ \frac{ \sqrt{10} \sqrt{13} }{2} \\ \frac{ \sqrt{130} }{2} [/tex]

[tex]a = \frac{11.401}{2} \\ = 5.70[/tex]

Answer:

5.70

Step-by-step explanation:

mark me as brainliest

The mean time it takes a certain pain reliever to begin reducing symptoms is 20 minutes with a standard deviation of 4.39 minutes.
Assuming the variable is normally distributed, find the probability that it will take the medication less than 25 minutes to begin to work.
A. 0.8729
B. 0.3708
C. 0.8708
D. 0.3729

Answers

20+25 is 45 so 4:39 and add that is A . My best guess

suppose we want to choose 2 colors, without replacement from 3 colors red,bule and green

Answers

Then U Would Choose Blue And Red

HELPP! PICTURE ATTACHED

find f(2)​

Answers

Answer:

f(2) =  Unidentified

Step-by-step explanation:

f(2) = ((2) +4)^2/(2)^2+2(2)-8

We can simplify the equation and get 36/4+4-8. After we simplify that we get 36/0. Since we have 0 as our denominator we know that our whole answer is unidentifiable.

A straight line has the point (4, 2) and has the slope 1. What is its y intercept?

Answers

Answer:    -2

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

Work Shown:

m = 1 is the given slope

The point (x,y) = (4,2) is on the line

Use slope intercept form to find the y intercept

y = mx+b

2 = 1*4 + b

2 = 4 + b

2-4 = b

-2 = b

b = -2 is the y intercept

4/k =8/3 ​ what is k?

Answers

Answer:

1.5

Step-by-step explanation:

4 x 2 = 8, so k x 2 = 3

3 / 2 = 1.5

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