A rectangle has perimeter 20 m . Express the area of the rectangle as a function of the length of ones its side.

Answers

Answer 1

Answer:

A = 10W - W²

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

Area of a rectangle =LW

L is the length

W is the width

Given

Perimeter = 20m

20 = 2 (L+W)

10 = L+W

L = 10 - W ....2

Substitute equation 2 into the formula for calculating the area

Recall that A = LW

A = (10-W)W

A = 10W - W²

Hence the area of the rectangle as a function of the length of ones its side is expressed as A = 10W - W²


Related Questions

A 17 ft ladder leans against the side of a house. The top of the ladder is 14ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

Answers

Answer:

.82 or 80 degrees rounded

Step-by-step explanation:

you can use SOH-CAH-TOA meaning sin = opposite/hypotenuse, so 14/17 = .82.

WHAT IS 1+1 pls help

Answers

Answer:

2.0

Step-by-step explanation:

x2y3z - y3z2 - x2yz2 + yz3

Answers

Answer:

xyxhvhbkkdhkx djdbk dkbdidnxidbduvdjdbxbdbisbd it bdndb

If ∠5 = 137° and ∠7 = 100°, find the measure of ∠1. *

Answers

Answer:

m∠1 = 37°

Step-by-step explanation:

if m∠5 = 137 then m∠2 = 43 (supplementary angles)

if m∠7 = 100 then m∠3 = 100 (vertical angles)

m∠1 + m∠2 + m∠3 = 180°

m∠1 + 43 + 100 = 180°

A sphere has a volume of approximately 24,416.64 cubic inches (using 3.14 for ).


The diameter of the sphere is ___ inches.

Answers

Answer:

diameter = 36 in.

Step-by-step explanation:

V = 4π r^3/3

24416.64 = (4(3.14) r^3)/3

73249.92 = 12.56 r^3

r^3 = 5832

r = cube root of 5832 = 18

diameter = 36 in.

Can someone plz help

Answers

you’d add 42.7 and 90 to get 132.7 then you’d subtract that to find the missing number and get 47.3

hey im asking this question so u can get points lol


what color is the sky??

Answers

yellow.
that’s so nice of u, i hope you have a great day today boo xoxox

Step-by-step explanation:

it appears blue to the human eye.

help??????? please???????​

Answers

Answer:

28 across and 21 down ( I think, cant really read the numbers)

Paul had a job during his summer vacation he earned 11.25 dollars per hour he worked 20 hours per week for 6 weeks. How much money did he earn?

Answers

11.25 x 20 = 225. So you would do 225 x 6 = 1,350. The answer is $1,350.

Point B is a point of tangency. Find the radius r of OC.

Answers

Answer:

r = 16 units

Step-by-step explanation:

From the figure attached,

AB is the tangent drawn from a point A to the circle C.

BC = r [Radius of the circle]

Length of AC = (18 + r)

AB = 30

By the property of a tangent drawn to a circle,

"Radius of a circle and tangent are perpendicular to each other"

AB ⊥ BC

By applying Pythagoras theorem in ΔABC,

AB² + BC² = AC²

(30)² + r² = (r + 18)²

900 + r² = r² + 36r + 324

36r = 900 - 324

r = [tex]\frac{576}{36}[/tex]

r = 16 units

Evaluate the algebraic expression 25/r-4 if r=9

Answers

Step-by-step explanation:

25 / 9 -4 = 25 / 5 = 5

5 is the solution

Answer:

5

Step-by-step explanation:

[tex]\frac{25}{r-4} = \frac{25}{9-4} =\frac{25}{5}= 5[/tex]

replace r with 9

At summer camp, the cook asks 6 campers to help with slicing watermelons. Each camper slices 4 ½ watermelons. How many melons do the campers slice?

Answers

Answer:

27 melons

Step-by-step explanation:

Number of melons sliced = Number of melons sliced by each camper * number of campers

 = 4 1/2 * 6

[tex]= \frac{9}{2}*6\\\\=9*3\\\\= 27[/tex]

Answer:

Solution :-

No. of campers = 6

Melon slice by 1 camper = 4½

Total melons sliced = 4 ½ × 6

Total melons sliced = 9/2 × 6

Total melons sliced = 9 × 3

Melons sliced = 27★

[tex] \\ [/tex]

Sum of 23 and y please help

Answers

Answer:

I think it’s -5

After eight games the team has won two games lost five and tied one if there season is 24 games how many games will they win at this rate

Answers

120 games in total for the games played

Answer:

Since the games in total add up to 8, we see that 8 is a factor of 24. It goes in 3 times. Therefore, we have to multiply everything by 3 to get the answer out of 24. There will be 6 wins, 15 losses and 3 tie. That adds up to 24.

Timia needs so cash in a hurry she owns her car outright and is considering a title loan. The lender told timia she could borrow 1750 for 1 month

Answers

The question is incomplete ; the fee which Timia would pay isn't given. And this is needed to compute the APR on the loan.

I would assume that the fee which Timia would pay as interest on the 1 - month loan is x

Answer:

r = x / 145.83333

Step-by-step explanation:

If interest paid, I = x

Principal, P = $1750

And period (time) of loan = 1 month = (1/12) = 0.0833333

Rate = r

Using the simple interest formula :

Interest = Principal * rate * time

x = 1750 * r * 0.833333

Make r the subject :

x = 145.83333r

Divide both sides by 145.83333

Hence, the rate value , r becomes :

r = x / 145.83333

Therefore, the student can just input the appropriate, interest value in place of x and obtain the correct and exact answer (I do not want to use an hypothetical value for x) .

What exponent is equivalent to 1/8?

Answers

Answer:

Since from the laws of exponents we have that x−n=1xn , it implies that we may write 18=8−1 . 18=123=2−3.

Step-by-step explanation:

(10x-23) how do i find x with 106 as an arc

Answers

If we connect A to D and continue the line up to the circle than
AngBAD=angDAC
10x-23=106/2
10x=53+23
x=7.6

Using the congruence of triangles, the value of x comes to be 15°

What is a circle?

A circle is a locus of a point that moves in a plane such that its distance from a fixed point remains constant.

Connect A to D

So, ∠BAC=53°

From the congruence of triangles

∠BAD=∠CAD =53/2 = 26.5°

Also, ∠BAD=∠ABD (since AD=BD=radius)

So, ∠BDA + ∠BAD + ∠ABD=180°

10x-23 + 26.5+26.5 = 180

10x+30=180

10x=150

x=15°

Hence, Using the congruence of triangles, the value of x comes to be 15°

To get more about circles visit:

https://brainly.com/question/24375372

Type the correct answer in the box. Use numerals instead of words.
From the top of a 300-foot cliff overlooking the ocean, Kelly measures the angle of depression to a boat approaching the shore as 20°.
What is the approximate distance between the boat and the base of the cliff? Round your answer to the nearest whole foot.
feet.
The distance between the boat and the base of the cliff is

Answers

Answer:

824 feet

Step-by-step explanation:

Got it right on Plato

Who wants to do my aleks topics.... I will give you the account and password, yo the teacher really expects me to do 20 of them.​

Answers

Answer:

Step-by-step explanation:

45 47

Help pleaseeeeeee!! Thank you!,

Answers

Answer:

Nice background!

Step-by-step explanation:

But I don’t know the answer sorry

Answer:

composite

Step-by-step explanation:

composite- is defined as the whole numbers that have more than two factors. whole numbers that are not prime are composite numbers, because they are divisible by more than two numbers. As shown in the image.

If a rescue vessel has enough provisions for 10 people to survive for 6 days, how long will
12 people survive on the vessel?​

Answers

10 people x 6 days =60 rations so 60 rations / 12 people equals 5 so 5 days



help pls D:


9. The table represents some points on a linear
function. Which situation can be modeled by this
function?
X
3
5
7
11
Y
228
380
532
836
A. The cost of buying number of concert tickets for
$76 each.
B. The number of pages y that can be read in 76
minutes.
C. The number of gallons of fuel xthat can be used to
travel 228 miles.
D. The amount of money spent from a savings
account with y dollars.

Answers

A. The cost of buying x number of concert tickets for $76 each.

Answer:

A

Step-by-step explanation:

find w to find the measure of the exterior angle

Answers

Answer:

by using exterior angle property I.e. sum of opposite interior angles are equal to the exterior angle

w = 50 + 50

= 100

HELP ME PLEASE! FIRST PERSON TO ANSWER GET BRAINLIST! (where the hell its called)
Q : 4(5j + 8 +6j) = ???

Answers

Answer:

= 44j+32

j = -8/11

geometric figure it is called a line.

Step-by-step explanation:

Expand the following:

4 (6 j + 5 j + 8)

Grouping like terms, 5 j + 8 + 6 j = (5 j + 6 j) + 8:

4 (5 j + 6 j) + 8

5 j + 6 j = 11 j:

4 (11 j + 8)

4 (11 j + 8) = 4×8 + 4×11 j:

4×8 + 4×11 j

4×8 = 32:

32 + 4×11 j

4×11 = 44:

Answer: 32 + 44 j

Daniel rode his bike for 6 hours and he jogged for 8 hours during the past 2 weeks. If he continues biking and jogging at the same rate, how many hours will he ride his bike and jog in 24 weeks?

A. 168 hours
B. 336 hours
C. 192 hours
D. 14 hours 8 hours 6 Hours 2 weeks​

Answers

Answer:

B. 336 hour's

Step-by-step explanation:

sana nakatulong :-)

Answer:

168hours

Step-by-step explanation:

2weeks=6+8=14

1 week=7

24×7=168

what is 9999999999999999999999999999999 X .906 X 828288282 right answers only no g00gle if you comment without a actual right answer i will report you

Answers

Answer:

there are a total of 31 9's in the beginning and breaking my head open doing this math from writing on paper we get about 7.50e+39

Step-by-step explanation:

3/4 is less than or equal to 1/2+n

Answers

Answer:

no

Step-by-step explanation:

3/4=0.75

1/2+n=0.5

Answer:

3/4 is greater than 1/2 I hope this helps you

Write the expression: twice a number increased by seven

Answers

Answer:

x2+7

Step-by-step explanation:

HELP ME PLEASE
Which point is not on the graph of

y=2x+3

A. (1, 5)

B. (2, 7)

C. (3,9)

D. (5, 1)

Answers

Answer:

D.

A linear equation is an equation with two variables whose graph is a line. The graph of the linear equation is a set of points in the coordinate plane that all are solutions to the equation. 

[tex]y = 2(5) + 3 = 13 [/tex]

Malia and Omar want to find the shortest route from their school to a local burger

hangout. The length of Route A is 1.5 times the length of Route B and ¾ the

length of Route C. If Route C is 3 kilometers long, then Route A is how many

kilometers longer than Route B?

Answers

Answer:

Route A is 0.75 km longer than route B.

Step-by-step explanation:

Length of route A is 1.5 times the length of route B.

a = 1.5b

[tex]\frac{a}{b}=\frac{15}{10}[/tex]

[tex]\frac{a}{b}=\frac{3}{2}[/tex] --------(1)

Here, a = Length of route A

b = Length of route B

Length of route A is [tex]\frac{3}{4}[/tex] of route C.

a = [tex]\frac{3}{4}c[/tex]

[tex]\frac{a}{c}=\frac{3}{4}[/tex] ------(2)

Here, c = Length of route C

Length of route C = 3 km

Length of route A = [tex]\frac{3}{4}\times 3[/tex] [From equation (2)]

                             = 2.25 km

Length of route B = [tex]\frac{2}{3}\times 2.25[/tex] [From equation (1)]

                             = 1.5 km

Difference in route A and route B = 2.25 - 1.5

                                                       = 0.75 km

Therefore, route A is 0.75 km longer than route B.

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