The perimeter of a rectangle is 18.6 km, and its area is 14.6 km“.
Find its length and width.

Answers

Answer 1

Answer:

2 and 7.3

Step-by-step explanation:

[tex]P=2x+2y=18.6[/tex]

[tex]2x=18.6-2y\\x=9.3-y[/tex]

We'll replace x with (9.3-y)

[tex]A=x\cdot y=14.6\\(9.3-y)\cdot y=14.6\\-y^2+9.3y=14.6\\ \\y^2-9.3+14.6=0[/tex]

Now we solve this equation by sum and product:

[tex]S=9.3\\P=14.6\\y=2\ or \ y=7.3[/tex]

Replacing back in the Perimeter equation:

[tex]2x+2y=18.6[/tex]

if y=7.3

[tex]2x+2\cdot7.3=18.6\\2x+14.6=18.6\\2x=4\\x=2[/tex]

if y=2

[tex]2x+2\cdot2=18.6\\2x+4=18.6\\2x=14.6\\x=7.3[/tex]

So, the dimensions are 2 and 7.3 km


Related Questions

2. Scholarships The probability that Samantha will be accepted by the college of her choice and
obtain a scholarship is 0.35. if the probability that she is accepted by the college is 0.65.
Find the probability that she will obtain a scholarship given that she is accepted by the college.
(4 pts)

Answers

The probability that she will obtain a scholarship given that she is accepted by the college is 0.54.

Given that the probability that Samantha will be accepted by the college of her choice and obtain a scholarship is 0.35, to determine, if the probability that she is accepted by the college is 0.65, the probability that she will obtain a scholarship given that she is accepted by the college, the following calculation must be performed:

0.65X = 0.35 X = 0.35 / 0.65 X = 0.538

Therefore, the probability that she will obtain a scholarship given that she is accepted by the college is 0.54.

Learn more about maths in https://brainly.com/question/26075432

​Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 515 randomly selected adults showed that 55​% of them would erase all of their personal information online if they could. Find the value of the test statistic.

The value of the test statistic is______

Answers

Answer:

257.5 of the 515

Step-by-step explanation:

a book is marked down by 28% from the original price of 19.50 what is the new price​

Answers

Answer:

$14.04

Step-by-step explanation:

to find the answer we can multiply 19.5 by 28% and use that answer to subtract to 19.5 or we can just directly multiply 19.5 by 72%

19.5 * 72% = 14.04

it costs $14.04 after a markdown of 28%

A geologist examining a road cut at this location would recognize that Layer A is

than Layer B. This conclusion is made through the principle of

Answers

This conclusion is made through the Principle of Lateral Continuity.

The statement made is that "A geologist examining a road cut at this location would recognize that Layer A is  older than Layer B."

The principle that guides this observation is that of lateral continuity which states that layers of sediment extend laterally in all directions.

This means that the new layer B is simply an extension of the older layer A.

Learn more about the Principle of Lateral Continuity here:

https://brainly.com/question/6030532

Answer:

Younger, superposition

Step-by-step explanation:

The first answer is younger, because for one, it's on the top of the ground sequence, and two because the second question options all prove that answer and not the "older" one.

The second answer is superposition, which states that it goes oldest to youngest from base up.

-Lexi

LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)

Answers

Answer:

See below

Step-by-step explanation:

Dilation of 4

Z (0, -1) Z' (0, -4)

X (1, -1) X' (4, -4)

Pls help i neeed to get my grade up badly

Answers

Step-by-step explanation:

12 - 1/2r = ( 13 - 3/2r ) - ( 1 - r )

r - 13/6 = ( 7r - 3/2 ) - ( 2/3 + 6r )

13r + 20 = ( 6r + 7 ) + ( 13 + 7r )

-12 + r = ( -8 - r ) + ( 2r - 4 )

Find the total area of the shape shown below in square feet. Enter only the number.
16 feet
5 feet
12 feet
9 feet
7 feet
7 feet
The solution is

Answers

Answer:

129, because you split the shape into two find the area of them separately and then add them up

What is the point of intersection for the graphs of the equations 4x-y=6 and x+y=4

Answers

Answer:

(2,2)

Step-by-step explanation:

4x-6 = 4-x

5x = 10

x = 2

y = 4-2 = 2

(2,2)

PLEASE HELP ME:))
what’s the value of x?

Answers

\[tex]\angle B +\angle C + x = 180^{\circ}\\\\\implies x = 180^{\circ} -\angle B -\angle C\\\\\implies x = 180^{\circ} - 75^{\circ} - 50^{\circ}\\\\\implies x = 55^{\circ}[/tex]

x²- 8x-9=0 i need some help over here

Answers

Factorise the equation first of all.

The easiest way to do this is to find two number that add to make the middle (-8) and multiply to make the last number (-9)

Two numbers with this property are -9 and 1

So when you factorise, your equation becomes (x-9)(x+1) = 0

From these you can conclude that for the equation to be equal to 0, either

x-9= 0
So x = 9

Or
x+1 = 0
And
x= -1

Answer:

(x+1)(x-9)

Step-by-step explanation:

Break the equation: x²- 8x-9=0 into groups:

([tex]x^{2}[/tex]+x)+(-9x-9)

Factor X out of [tex]x^{2}[/tex]+x:    x(x+1)

Then Facor -9 out of (-9x-9):  -9(x-1)

This means that you can simplify these 2 equations: (x-9) & (x+1)

So your answer is: (x+1)(x-9)

if a + b equal to pi by 4 then prove that 1 + cot a into 1 + cot B equal to 2 into cot a into cot b​

Answers

Answer:

(cotA − 1) (cotB − 1) = 2

Step-by-step explanation:

A+B= π/4 = 180°/4 = 45°

A+B=45°

∴ cot(A+B)=cot45°

∴ cotBcotA−1 / (cotB+cotA) = 1

⇒cotB + cotA = cotBcotA = 1

⇒cotB + cotA − cotBcotA + 1 = 0

⇒cotBcotA − cotB − cotA − 1 = 0

⇒cotBcotA − cotB − cotA − 1 + 2 = 0+2

⇒cotBcotA − cotB − cotA + 1 = 2

⇒cotB(cotA − 1) (cotA − 1) = 2

⇒(cotA − 1) (cotB − 1) = 2

Proved

Write the equation of the parabola that has the vertex at point
(−2, 5.5) and passes through the point (−2.5, 2.5).

Answers

Answer:

-12x²-48x-42.5

Step-by-step explanation:

Find the area and perimeter of the shape given below.

Answers

Answer:

perimeter: 14+5+6+6+8+10=59

area: 14x5x6x10=4200

perimeter means adding all the sides including the ones that arent labeled, and the area is multiplying all the numbers included.

Help help help help please business

Answers

Answer:

x = 35°

Step-by-step explanation:

These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.

These angles are congruent, so you can set them equal to each other:

[tex]2x+20=3x-15[/tex]

Then, just solve for x:

[tex]20=x-15\\35=x\\x=35[/tex]

You can check that by plugging it back into both:

[tex]2x+20=3x-15\\2(35)+20=3(35)-15\\70+20=105-15\\90=90[/tex]

Answer:

x = 35

Step-by-step explanation:

The angles shown are corresponding angles

Corresponding angles are congruent ( equal to each other )

This means that 2x + 20 should equal 3x - 15

Note that we've just created an equation that we can use to solve for x

We know use that equation to solve for x

2x + 20 = 3x - 15

add 15 to both sides

2x + 35 = 3x

subtract 2x from both sides

35 = x

And we are done!

What is the answer to the question. Solve for x

Answers

Answer:

[tex]x=\frac{75}2[/tex]

Step-by-step explanation:

Give letters, as in the attached image.

The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]

Write 1.96 as a percent and as a fraction,

Answers

49/25

And 196% :) hope this helps

The sum of the numbers is 66. The larger number is 16 more than the sanaller number, What are the numbers

Larger number: Smaller number:

Answers

Answer:

S 25, L 41

Step-by-step explanation:

Small + Large = 66

Large = Small + 16

s + (s + 16) = 66

2s + 16 = 66

2s = 50

s = 25

25 + Large = 66

Large = 41

Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !

Answers

Answer:

89) no 90) yes 91) yes 92) yes 93) yes

Step-by-step explanation:

use theorem of Triangle Inequality !! "the sum of two sides of a triangle must be greater than the third side" :)

What is an equivalent ratio

Answers

Answer:

Equivalent ratios (which are, in effect, equivalent fractions) are two ratios that express the same relationship between numbers. We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number. Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.

when 2 ratios are the same or equivalent by simplifying. For example 1 to 4 is the same as 2 to 8 because when I simplify it i get 1 to 4

Simplify 1.25 (-x -4)

Answers

Answer:

1.25(-xsquare - 8x + 16)

Step-by-step explanation:

pls give me brainliest

I'm not sure but I think so

A restaurant is serving a special dinner combo meal that includes a drink, a main dish, and a dessert. Cus
4 drinks, 5 main dishes, and 3 desserts.
How many different combo meals are possible?
Select from the drop-down menu to correctly complete the statement.
Customers can create Choose... w different dinner combo meals.
1
2
3
4
Choose...
12
45
60
75
5
6
7

Answers

Answer:

Your Answer Is 60

Step-by-step explanation:

I Took The Test Just Now

The number of different combo meals are possible in a restaurant which is serving a special dinner combo meal that includes a drink, a main dish, and a dessert is 60.

What is arrangement?

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

The number of possible ways to arrange is the n!. Here, n is the number of objects.

A restaurant is serving a special dinner combo meal that includes a drink, a main dish, and a dessert.

Dinner includes 4 drinks,5 main types of dishes.3 types of desserts.

The number of different combo meals are possible can be find out by simply multiplying all the meals. Thus,

[tex]n=4\times5\times3\\n=60[/tex]

Thus, the number of different combo meals are possible in a restaurant which is serving a special dinner combo meal that includes a drink, a main dish, and a dessert is 60.

Learn more about the arrangement here;

https://brainly.com/question/6032811

#SPJ2

PLEASE HELP WILL MARK BRAINIEST!!!!!!!!

Answers

Answer:

A.

Step-by-step explanation:

Plz help I need help

Answers

X < 6

14 - 2, because of the +2, get 12
Divide 12 by 2, because of 2x, get 6
You would then get x<6
Hope this helps!

The table shows the transportation method of employees at a certain company. What percent of the total amount of employees drive a bus to work?

Car: 758
Bus:530
Walk:7
Other:105
Total:1400

Answers

Answer:

about 0.38 %

Step-by-step explanation:

Total = 1,400 Employees

Those who drive a bus = 530

530 / 1,400 = 0.378571428571429

round up = about 0.38 %

I will give brainliest

Answers

Answer:

Equations 1 & 3 are correct.

Explanation:

Equation 2's actual answer is -8, and Equation 4's actual answer is positive 7.

Answer:

1 and 3 are correct

Step-by-step explanation:

A.
x y
0 3
1 5
2 7
3 9
4 11
B.
x y
0 0
1 6
2 12
3 18
4 24
C.
x y
0 0
1 -3
2 -6
3 -9
4 -12
D.
x y
0 1
1 3
2 6
3 10
4 15

Which table(s) show x and y in DIRECT PROPORTION?

A)A and B only
B)B and C only
C)C and D only
D)D and A only

Answers

Answer:)

Step-by-step explanation:

122 is what percent of 145?

Answers

Answer:

84.1379%

Step-by-step explanation:

122 / 145 = 0.841379

(0.841379)(100) = 84.1379%

Marty has 6 cans of pain that he can use for the 3 bedrooms he needs to paint. How much paint can Marty use in each bedroom?​

Answers

You need to divide 6 by 3 so you get 2 cans per bedroom

help me please please​

Answers

Answer:

i think its D or 14/16

Step-by-step explanation:

Answer:

[tex]\frac{14}{16}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] + [tex]\frac{10}{16}[/tex]

Before adding we require the denominators of both fractions to be common

Multiply numerator/ denominator of first fraction by 4

= [tex]\frac{1(4)}{4(4)}[/tex] + [tex]\frac{10}{16}[/tex]

= [tex]\frac{4}{16}[/tex] + [tex]\frac{10}{16}[/tex] ( now add the numerators leaving the common denominator )

= [tex]\frac{4+10}{16}[/tex]

= [tex]\frac{14}{16}[/tex]

The fraction can be simplified by dividing the numerator/ denominator by 2 to

[tex]\frac{7}{8}[/tex]

A watch band is 8 in long. What is its diameter when you wrap it around your wrist? Round your answer to the nearest
hundredths.
Please be accurate and explain.

Answers

Answer:

well, all you need to do is 8 x 3.14 so then you shall get your answer!

Step-by-step explanation:

Other Questions
how long will it take the james webb telescope to reach its destination Help with number 2 No links No jokes to just get points why did the british issue the proclamation of 1763 The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 14 8 16 9 18 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points) please answer the geography questions im so confused and i need to know this for my exam. He asked me ..................................a. Where I like coffee or not b. Whether I liked coffeec. What I liked coffee d. Which I liked coffee Helpppp, I dont understand which body system is responsible for carrying oxygen from the lungs to the body cells and transporting glucose for energy? Which feature do Mediterranean countries have in common? Read this sentence from "Space Junk!"To protect the ISS, scientists have developed the capability tomaneuver the station out of harm's way.What is the meaning of maneuver?A removeB planC keepD steer Select the correct answer.Which of these articles helps you see in the dark?A.la chaussure fermeB.la casquetteC.le sac de couchageD.la lampe-torche which statement best describes the first step to the equation -11-3x=44-2xA. add 3 to both sides B add 2 to both sides C.get the variables on one side Riley is saving up to buy a new television. She needs a total of $966.42. Riley has saved $200.92 already and earns $76.55 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television Find the final amount of money in an account if $9, 100 is deposited at 6.5 % interest compoundedquarterly (every 3 months) and the money is left for 7 years. What is the value of x in the equation 8x 2y = 48, when y = 4? I hope you can see because I really need help! Ill give you 5 stars! How does the value of the cars produced by the Japanese company within the United States impact the United States' Gross National Product (GNP), and why? what countries in africa south of the sahara generally have the least problem w hunger Jennifer is using lines in her photos. What is she MOST likely trying to do?Group of answer choicesCreate a sense of value.Draw attention to her subject.Draw attention to her audience.Make her photo darker.HELP NOW PLEASE!!!! The polygons are similar. The area of one polygon is given. Find the area of the other polygon.