Solving a word problem using a quadratic equation with rationa...
The area of a rectangle is 52 m², and the length of the rectangle is 5 mless than double the width. Find the dimensions of the rectangle.
Length:
Width : 1

Answers

Answer 1

Answer:

length : 8 m

width : 13/2 = 6.5 m

Step-by-step explanation:

area of rectangle = l(ength)×w(idth) = 52

l = 2w - 5

=> (2w - 5)×w = 52

=> 2w² -5w - 52 = 0

we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4

=> (2w - 13)×(w + 4) = 0

=> 2 solutions for w :

2w-13 = 0

2w = 13, w = 13/2

w+4 = 0, w = -4

negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2

=> l = 2w - 5 = 13 - 5 = 8


Related Questions

Use the drop-down menus to explain if the two figures below are congruent, similar, or neither. If the figures are similar, state the scale factor.

PLEASE ANSWER
The drop down selections are is is not for the first part and the second are is can/cannot
also, if there is a scalefactor please tell me what it is!

Answers

Answer:

Is can

Is can

1 is the answer

Step-by-step explanation:

But what’s the name of that topic?

Answer:

Is can

Is can

1 is the answer

Step-by-step explanation:

Help with 5+5-3 please

Answers

Step-by-step explanation:

5+5-3= 7

!!!!!!!!!!!!!!!!!

Answer:

answer is 7 please give a brainliest please

Step-by-step explanation:

What is the exact measurement of the line segment?

Answers

It looks like it’s 3.25 or 3 and 1/4

A screening test for a disease shows a positive result in 91% of all cases when the disease is actually present and in 7% of all cases when it is not. Assume that the prevalence of the disease is 1 in 650. If the test is administered to a randomly chosen individual, what is the probability that the result is positive

Answers

Answer:

0.0713 = 7.13% probability that the result is positive.

Step-by-step explanation:

Probability of a positive test:

91% of 1/650(has the disease).

7% of 1 - 1/650 = 649/650(does not have the disease). So

[tex]p = 0.91\frac{1}{650} + 0.07\frac{649}{650} = \frac{0.91 + 0.07*649}{650} = 0.0713[/tex]

0.0713 = 7.13% probability that the result is positive.

Wat is the average number between 1,000, 2300,1000,2600

Answers

Answer:

here summation x = sum of all number

What is the inverse operation of multiply by 12? A. add 12 B. subtract 12 C. multiply by 12 D. divide by 12​

Answers

Answer:

D. divide by 12​

Step-by-step explanation:

→ When you :

- Multiply, the inverse is divide

- Divide, the inverse is multiply

- Add, the inverse is minus

- Minus, the inverse is add

Kim took a 3,000 mile trip in 4 days.

1st day - 850 miles

2nd day - 745 miles

3rd day - 660 miles

How many miles did she travel the 4th day?

O A. 2265 miles

B. 745 miles

C. 855 miles

O D. 265 miles

E 755 miles

Answers

Answer:

B. 745 miles

Step-by-step explanation:

Given that

Kim took 3000 miles trip in 4 days

And,

1st day - 850 miles

2nd day - 745 miles

3rd day - 660 miles

We need to find out that how much she travel in the 4th day

So, it is

= 3000 miles - 850 miles - 745 miles - 660 miles

= 745 miles

Hence, the option b is correct

How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study of cowboys in West Texas and Southeastern New Mexico around the year 1890. A sample of 32 cowboys gave the following years of longevity:

Answers

Answer:

[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]

Step-by-step explanation:

Given

See comment for complete part of the question

Required

Make a stem and leaf plot

We have:

[tex]58, 52, 68, 86, 72, 66, 97, 89, 84, 91[/tex]

[tex]91, 92, 66, 68, 87, 86, 73, 61, 70, 75, 72, 73[/tex]

[tex]85, 84, 90, 57, 77, 76, 84, 93, 58, 47[/tex]

Categorize the dataset according to tens

[tex]47[/tex]

[tex]52, 57, 58, 58[/tex]

[tex]61, 66, 66, 68, 68[/tex]

[tex]70, 72, 72, 73, 73, 75, 76, 77[/tex]

[tex]84, 84, 84, 85, 86, 86, 87, 89[/tex]

[tex]90, 91, 91, 92, 93, 97[/tex]

So, the stem and leaf plot is:

[tex]\begin{array}{cc}{Stem} & {Leaves} & {4} & {7} & {5} & {2, 7, 8, 8} & {6} & {1, 6, 6, 8, 8} & {7} & {0, 2, 2, 3, 3, 5, 6, 7} & {8} & {4, 4, 4, 5, 6, 6, 7, 9} & {9} & {0, 1, 1, 2, 3, 7} \ \end{array}[/tex]

Find the area of the composite figure

Answers

Answer:

area of semicircle=76.969 inches

triangle is=10 in so 20 since there is 2 triangles made

rectangle=140 in

236.969 inches is the total

hope this helps

have a good day :)

Step-by-step explanation:

Need the answer ASAP!! 20 points

Answers

Answer:

I think C. is it

Step-by-step explanation:

what is the length of the hypotenuse?

please help!

Answers

Answer:

34

Step-by-step explanation:

Hypotenuse is the longest side

I hope this helped have a great day

A boy is flying two kites at the same time. He has 450 ft of line out to one kite and 390 ft to the other. He estimates the angle between the two lines to be 34 degrees. Approximate the distance between the kites.

Answers

Answer:

[tex]C=252.2ft[/tex]

Step-by-step explanation:

From the question we are told that:

First Kite Distance [tex]A=450ft[/tex]

Second Kite Distance [tex]B=390ft[/tex]

Angle [tex]\theta=34\textdegree[/tex]

Generally the equation for Distance X between the kites is mathematically given by

Using Cosine Rule

 [tex]C^2=A^2+B^2-2abCos \theta[/tex]

Therefore

 [tex]C^2=(450)^2+(390)^2-2(450)(390)Cos 34[/tex]

 [tex]C^2=63607.81[/tex]

 [tex]C=\sqrt(63607.81)[/tex]

 [tex]C=252.2ft[/tex]

Find the degree measure 7pi/4 radians

Answers

The degree for 7pi/4 is : 315°

7th grade math help :)​

Answers

70

One McDonald’s drink is $10
The burger is $5
The fries are $2
5+2 = 7x10 = 70
If the drinks time 3 equal 30 they equal 10 individually then is you put the drink plus the burgers the burgers equal 5 individually then the burger plus fries together equal 9 so the fries equal 2 individually so 10+5+2 is our formula and the answer is 17!

What is the measure of remote angle, ∠A?

Answers

Answer:

40

Step-by-step explanation:

Inscribed Angle =  1/2 Intercepted Arc

<A = 1/2 (80)

<A = 40

If 1=3
2=3
3=5
4=4
5=4, then 6=?

Answers

Answer:

six equal to eight?????

IM LOW ON TIME AND NEED YOUR HELP 30 PST

Answers

Answer:

12.56

Step-by-step explanation:

First of all, pi = 3.14

Diameter=4

Radius=2

3.14×[tex]2^{2}[/tex]

So,

3.14 × 4 =

12.56

Hope this helps!! (Hope I did this in time!!)

The track team has 12 more boys than girls. There are a total of 142 team members. How many boys and girls are on the team?

Answers

Answer:

77 boys, 65 girls

Step-by-step explanation:

x as the variable to represent amount of girls, and there are 12 more boys than girls (x+12). So the equation would be:

x + x + 12 = 142

2x + 12 = 142

x = 65

65 girls

then 65+ 12 = 77 boys

Engro Incorporation wants to evaluate an acquisition of an equipment worth $200,000. Its marginal tax rate is 40 percent. If purchased, the depreciation of equipment will take place at straight line method. The salvage value of the equipment is assumed to be $20,000 at the end of its useful life of 10 years. If the equipment is purchased, Engro will finance the asset through borrowing from bank at annual before tax cost of 10%. further, if Engro decides to purchase the equipment, it will incur $1000 as annual maintenance expense each year. These expenses would not be incurred if the computer is leased. If leased, Engro can have the equipment at $28000 pre-tax rate per year, which is to be paid at the beginning of each year. Company’s weighted average after tax cost of capital is 12 percent.

Compute the net advantage to leasing (8 marks)
What alternative, leasing or owning, should be chosen

Answers

Answer:

I din nosjwjfkwifowockwofkwkfkekfkamcqkkr1o4k30rjdogiq

Plz help me well mark brainliest if correct..??

Answers

Answer:

C/5

Step-by-step explanation:

This is because there are 2 people in the 3| part, and 3 people under 6 in the 4| part.

can someone please help me with this​

Answers

Answer:

Surface Area = 139.4 (rounded to nearest tenth)

How do you solve the equation 3 1/5 +n=9?

Answers

Answer:

n = [tex]5\frac{4}{5}[/tex]

Step-by-step explanation:

You obviously have to solve for n

What is the volume of the cone below?
O A. 396pie units 3
O B. 132 units 3
O C. 792pie units3
O D. 264pie units 3

Answers

Answer:

D. 264π units³

Step-by-step explanation:

1/3(πr²h)

1/3(π•6²•22)

1/3(π•36•22)

1/3(π•792)

264π

What is its equation in slope-intercept form ?

Answers

Answer:

Candice

Step-by-step explanation:

A letter is randomly chosen from the word CANDLESTICK. Find the probability that
you chose an Nor S.

Answers

Answer:

The probability of you choosing S would be a 1/11 chance or a 0.0909090909 chance.

Answer:

1 / 11

Step-by-step explanation:

there are 11 letters in candlesick so 11 possibilities and 1 S which is 1 out of 11 or 1 / 11.

Hope this helps ( :

Please help me with simplifying this equation? (-5)^5/ (-5)^-6
Thanks

Answers

I think so that the answer is -48828125

maths question 11 divided by 4 please give me the answer in decimal as fast as u can

Answers

2.75

Step-by-step explanation:

[tex]\sf\purple{2.75}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{11}{4} \\ = 2.75[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

Solve
4x > 16
..............​

Answers

Answer:

256. fffddddddssddddd

1. 4x > 16 = x > 4.

hope i could help

Assume the total cost of a college education will be $200,000 when your child enters college in 16 years. You presently have $55,000 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child’s college education?

Answers

Answer:

8.4%

Step-by-step explanation:

let x = interest rate

55,000(1 + x)^16 = 200,000

divide both sides by 55,000

(1 + x)^16 = 3.636

find the invese of 16

1 + x = 1.084

x = 0.084

x = 8.4

A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the sequence B: at least one flip comes up tails What is p(A | B)?

Answers

Answer:

2 / 7

Step-by-step explanation:

Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'

HHH , TTT , HTT, THT , TTH , THH , HTH , HHT  = total outcomes

P (A) = 2 consecutive heads , P (B) = atleast one tail

P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8

P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8

P (A | B) = P ( A ∩ B ) / P (B)

P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes =   2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8

So, P (A | B) = ( 2 / 8 ) /  ( 7 / 8 ) = 2 / 7

Other Questions
Which two of the following are MAIN ideas of the article?Lao-tzu and Confucius were not impressed by each other when they met.Lao-tzu and Confucius shared ideas about how people should live in unity in the world.Taoism and Confucianism were written in different books that have been saved in museums.Taoism and Confucianism are beliefs that have been important to many people. what is Heterochromia?? Explain what the witches are planning Find the area of the parallelogram 6 reasons why Meiosis and mitosis are different (PLEASE HELP) 1) Which is the odd one out in each set?1 Stocks accounts equities options2 Investor analyst adviser consultant3 Pioneer entrepreneur risk-taker manager4 Outmaneuver outscore outstay outperform5 Rational corrupt fair unbiased6 Handle manage direct comply7 Offering brokerage fee commission8 Grow increase diminish expand9 Acquire receive obtain repay10 Collaboration alliance partnership customer HELP PLSSS, IM SO CONFUSED Which statement is true? (1 point)O Fossils cannot provide information about relatedness of life forms.O Fossils can provide information about when life forms existed.O Fossils cannot provide information about life cycles and behaviors.O Fossils can provide information about the entire evolutionary process of life forms.Please help! I will give you Brainly ! What is the exact measurement of the line segment? Which Native American culture is shown in this photo? A) Inult B) Pawnee C)Seminole The track team has 12 more boys than girls. There are a total of 142 team members. How many boys and girls are on the team? How many liters of 10% silver iodide mixed with 9 liter of a 4%silver iodide solution to get 6% solution What is its equation in slope-intercept form ? Can someone help me out, I will give out brainly. what are the sides and alliances of the thirty-year war!!!(PLEASE HELP) Why development is compared to the life cycle of a butterfly What literary device (figurative language) is yuck, in the following sentence?Temperamental, sassy, narcissistic yuck he thought!a.Personificationb.Hyperbolec.Onomatopoeiad.Alliteration A letter is randomly chosen from the word CANDLESTICK. Find the probability thatyou chose an Nor S. Given CSC A= sqrt(85)/6 and that angle A is in Quadrant I, find the exact value of cot Ain simplest radical form using a rational denominator. IM LOW ON TIME AND NEED YOUR HELP 30 PST