The perimeter of a rectangular tennis court is 228 feet. If the length of the court exceeds the twice the width by 6 feet, find its dimensions.

Answers

Answer 1

Answer:

Width= 36 Length=78

Step-by-step explanation:

width= w

length = 2w+6

perimeter = 2(l+w)

228=2(2w+6+w)

228 = 2(3w+6)

228=6w+12

216 =6w

w=36

width= w=36 ft

length = 2w+6 = 2(36)+6=78 feet


Related Questions

Can someone please help me??

Answers

Answer:

the missing side of the triangle is 4, solving by the theorem of Pitagoras a^2 + b^2 = c^2

Using Pythagorean theorem

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto P^2=8^2-(4√3)^2[/tex]

[tex]\\ \sf\longmapsto P^2=64-48[/tex]

[tex]\\ \sf\longmapsto P^2=16[/tex]

[tex]\\ \sf\longmapsto P=√16[/tex]

[tex]\\ \sf\longmapsto P=4[/tex]

Write the slope-intercept form of the equation to the line parallel to the graph
of y+6=-4(x-1) that passes through the point (2,4).

Answers

Answer:

y = -4x + 12

Step-by-step explanation:

Parallel lines have the same slope. Since the slope of the given equation is -4, then the slope of the other line parallel to it must be the same.

Using the slope, m = -4, and the given point, (2, 4):

Substitute these values into the slope-intercept form:

y = mx + b

4 = -4(2) + b

4 = -8 + b

4 + 8  = -8 + 8 +  b

12 = b

Therefore, the equation of the line parallel to  y + 6 = -4(x - 1) is:

y = -4x + 12

Answer:

4x-2

Step-by-step explanation:

Slope intercept form is y=mx+b, so get y on one side.

do the multiplication first -4(x-1) is -4x+4

Now move the six to the other side; y=-4x+4-6

Simplify, y=-4x-2

What rotation centered about the origin maps (4, −7) to (7, 4) ?

90° counterclockwise

180° counterclockwise

270° counterclockwise

Answers

Answer:

A) 90° counterclockwise

Step-by-step explanation:

Preimage (4, - 7) and image (7, 4).

Rule applied:

(x, y) → (-y, x), this is a 90° counterclockwise rotation

Correct choice is A

Answer:

Option A

Step-by-step explanation:

90° counterclockwise rotation about origin rule is

(x,y)=(-y,x)

So here

(4,-7)

Rotate it

(-(-7),4)(7,4)

Option A is correct

What is .73% of 125?

Answers

Answer:

The answer to that is 91.25

PLEASE HURRY WILL GIVE BRAINLIEST

c=4a+4b solve for b

Answers

Answer:

[tex]b = -a +\frac{1}{4}c[/tex]

Step-by-step explanation:

Step 1: Flip the equation.

[tex]4a + 4b = c[/tex]

Step 2: Subtract 4a from both sides.

[tex]4a + 4b - 4a = c - 4a[/tex] [tex]4b = c - 4a[/tex] [tex]4b = -4a + c[/tex]

Step 3: Divide both sides by 4.

[tex]\frac{4b}{4}=\frac{-4a}{4} + \frac{c}{4}[/tex] [tex]b = -a + \frac{1}{4}c[/tex]

Therefore, the answer is [tex]b = -a + \frac{1}{4}c[/tex].

Hope you have a lovely rest of your day/night.

Answer:

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

Step-by-step explanation:

c = 4a + 4b

Subtract 4a from both sides:

c - 4a = 4a - 4a + 4b

c - 4a = 4b

Divide both sides by 4 to solve for b:

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

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

Please mark my answers as the Brainliest if you find my solutio helpful :)

Kaitlin earns $8 for each hour she works. She figures out that her expenses for gas and car insurance are
$24 each week. If she wants to earn $120 after her expenses, write and solve an equation to figure out
how many hours she must work each week.

Answers

Answer= 18

(8 * h) - 24= 120

(8*18)= 144

144 - 24= 120

which expression is equvialent to a+4a+8​

Answers

Answer:

Step-by-step explanation:

Answer:

5a + 8

Step-by-step explanation:

In the circumstance where a is unknown, we combine like terms to get 5a + 8

help me math homework part 2

Answers

The answer is a 9x4.

Smith and his friends are gaming online on a popular website. An hour later, 6 friends go offline. Five of them continue playing. How many of them were gaming online initially?

Write the problem__

People on line originally

Answers

Answer:11 people

Step-by-step explanation:

q + 67 = q+68

what is q?

Answers

Answer:

No solution

Write the equation of the graph in slope-intercept form (y=mx+b).

Write the equation without spaces:

Answers

Answer:

y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is. It can have either a positive or a negative value. When a standard form of a linear equation is of the form Ax + By = C, where 'x' and 'y' and 'C' are variables and 'A', 'B' are constants, the slope-intercept form is the most preferred way of expressing a straight line due to its simplicity, as it is very easy to find the slope and the 'y intercept' from the given equation.

Meaning of y = mx + b

y = mx + b is the slope-intercept form of a staight line. In the equation y = mx + b for a straight line, m is called the slope of the line and b is the y-intercept of a line. y = mx+b, where

y ⇒ how far up or down is the line,

x ⇒ how far along is the line,

b ⇒ the value of y when x = 0 and

m ⇒ how steep the line is.

This is determined by m = (difference in y coordinates)/ (difference in x coordinates). Note that difference in y coordinates is indicated as rise or fall and difference in x coordinates is indicated as run.

Step-by-step explanation:

-9(n+6) can someone help me

Answers

Answer:

-9n-54

Step-by-step explanation:

.If the side of an equilateral triangle is 6cm, then the area of triangle is

Answers

Answer:

[tex]9\sqrt{3}[/tex] cm^2

Step-by-step explanation:

area of an equilateral triangle = [tex]\frac{s^{2} \sqrt{3} }{4}[/tex] (s = length of the side)

area = [tex]\frac{6^{2}\sqrt{3} }{4}[/tex]

area = [tex]\frac{36\sqrt{3} }{4}[/tex]

area = [tex]9\sqrt{3}[/tex] cm^2

HELLP THIS IS EASY 8TH GRADE STUFF BUT

scale the numerator and the denominator down by a factor of 5 (just divide) to write a fraction equivalent to 30/70.

Answers

Answer:

6/14

Step-by-step explanation:

you need to just divide the denominator and numerator by 5. 30 / 5 is 6 and 70 / 5 is 14 so your answer is 6 / 14.

the question is in the above
please write your answer with explaination
thank you so much and have a great day​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

we know that volume of a sphere is :

[tex] \boxed{ \boxed{ \frac{4}{3} \pi {r}^{3} }}[/tex]

so, let's solve for radius (r) :

[tex] \dfrac{4}{3} \pi {r}^{3} = 288 \pi[/tex]

[tex]r {}^{3} = 288 \pi \times \dfrac{3}{4 \pi} [/tex]

[tex]r {}^{3} = 72 \times 3[/tex]

[tex]r {}^{3} = 216[/tex]

[tex]r = \sqrt[3]{216} [/tex]

[tex]r = 6[/tex]

value of radius (r) = 6 units

7±9÷3±2×4 what is the answer for this

Answers

Answer:

the answer is 18

Step-by-step explanation:

7+9÷3+2x4= 18

1+√x/1-√x + 1-√x/1+√x

Answers

Answer:

if x was 3... itd be 2

Step-by-st/ep explanation:

 

Evaluate for x=3

1+

√3

1

−√3+1−

√3

1

+√3

1+

√3

1

−√3+1−

√3

1

+√3

=2

If X1/12 = 491/24 then find the value of X.

Answers

Answer:

[tex]X1/12=491/24[/tex]

[tex]By \: cross \: multiplication,[/tex]

[tex]24x=491×12[/tex]

[tex]x=5892/24[/tex]

[tex]x=245.5[/tex]

help me please asapppppp it should be marked in 6mins​ hurry up

Answers

18. is 6
Hope this helps

Please answer this please

Answers

Answer:

the people don't believe in ghosts=372000.

( in scientific notation 3.72×10^5)

...........

Answer:

10,372,000

Step-by-step explanation:

subtractio=128,000 -10,500,000

Ariana and Sean went out to dinner with their parents. The price paid for their meal was $75.60 before taxes. The sales tax rate is 7.50%. They leave a tip of 20% of the pre-tax total. What was the total amount they paid for dinner?

Answers

Answer:

$97.524

Step-by-step explanation:

What are rates and
unit rates?

Answers

God, I wish that you had thought this through
Before I went and fell in love with you
(Ah-ah-ah)
When she's sleeping in the bed we made
Don't you dare forget about the way
You betrayed me
'Cause I know that you'll never feel sorry
For the way I hurt, yeah
You'd talk to her
When we were together
You gave me your word
But that didn't matter

Answer:

Rate is the ratio between two different units of measure.

Unit rate is the ratio of between two different units of measure for a single thing.

5x-2y=11 and 3x+4y=4
Find the value of x and y in equation.​

Answers

5x-3y=11---(1)3x+4y=4---(2)

(1)×3 and (2)×5

15x-9y=33-(3)15x+20y=20-(4)

Subtract both

[tex]\\ \sf\longmapsto -29y=13[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{-13}{29}[/tex]

Put in eq(1)

[tex]\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11[/tex]

[tex]\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{278}{145}[/tex]

perpendicular to y = 5/2x - 1 and passes through (-1, -4)

Answers

I believe the equation is y = -2x/5 - 22/55

8-7(-6 + 5^2 )4 / 3+2

Answers

Answer:

-121 2/3

Step-by-step explanation:

A population grows according to an exponential growth model. The initial population is 215 and the population after one year is 278.

Complete the formula where P is the population and n is the number of years.:

Answers

Answer:

?????

Step-by-step explanation:

can someone please do this math problem with process shown​

Answers

here ...

let us suppose breadth of the room be x.

then, length = 2x

now ,the cost of plastering the floor is RS 1080 at rate of RS 15 per ...

hence

the area of floor{length *breadth} =1080/15

x*2x=72

or,2x^2=72

or,x=√(72/2)

hence, the value of x= 6m

(ie. breadth {x}=6. &. length {2x}=12)

again....

we have ,

volume of the room (length *breadth*height)is 396m^3

12*6*height=396

72*height=396

height=396/72

hence , height=5.5

we know,

the area of 4 walls = 2( length+breadth)*height

=2(12+6)*5.5

=198

hence the cost of plastering 4 walls at the rate of RS 20 per SQ meter = 198*20=RS 3960

22. The function C= 75x + 2600 gives the cost, in dollars, for a small company to
manufacture x items. The function R = 225x-X gives the revenue, also in
dollars, for selling x items. How many items should the company produce so
that the cost and revenue are equal?

Answers

Given:

[tex]c=75x+2600\\[/tex]; where c is cost in dollars and x is items sold

[tex]r=225x-x^{2}[/tex]; where r is revenue in dollars and x is items sold

Equations:

[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

Answer:

For cost and revenue to be equal, the company should produce and sell 20 or 130 items.

[tex]x=20\\[/tex] or [tex]x=130[/tex]

Step-by-step explanation:

1. Set the equations equal to each other; [tex]75x+2600=225x-x^2[/tex]

2. Subtract [tex]225x-x^2[/tex] from each side; [tex]x^2-150x+2600=0\\[/tex]

3. Determine quadratic formula variables; [tex]a=1; b=-150; c=2600[/tex]

4. Substitute [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] into quadratic formula; [tex]x=\frac{-(150)\±\sqrt{(-150)^2-4*1*260}}{2*1}[/tex]

5. Solve quadratic formula; [tex]x_{1} = 130[/tex], [tex]x_{2}=20[/tex]

Simplify the expression -15m + 9m

Answers

Answer:

-6M

Step-by-step explanation:

djdurjjrfjfrjrjrjrf

100 point if u answer this correctly pls hep me
For this question you will write a two-column proof of the first part of the Overlapping Angle Theorem. Use the proof for the Overlapping Segment Theorem as your model for this proof.
You must use the two-column format for this question. Write the proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
Given: m∠KER = m∠MEN
Prove: m∠1 = m∠3

Answers

Step-by-step explanation:

Statement                                      Reason                                          

m∠KER = m∠MEN                         Given

m∠KER = m∠1 + m∠2                    Angle addition

m∠MEN = m∠2 + m∠3                  Angle addition

m∠1 + m∠2 = m∠2 + m∠3             Substitution property of equality

m∠1 = m∠3                                     Subtraction property of equality

                                          proved

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