Mathematics High School

The length of a rectangle exceeds its width by 3 and a half feet. The area of the
rectangle is 65 square feet. Find its length.

Answers

Answer 1

Answer:

19.25 feet

Step-by-step explanation:

Let x be the width of the rectangle in feet. Then, the length of the rectangle is x + 3.5 feet. Since the area of a rectangle is equal to its length times its width, we know that the area of the rectangle is (x + 3.5) * x = 65 square feet.

We can solve for x by setting up the equation (x + 3.5) * x = 65 and then solving for x. This gives us the following:

x^2 + 3.5x - 65 = 0

To solve this quadratic equation, we can use the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = 3.5, and c = -65, so we have:

x = (-3.5 +/- sqrt(3.5^2 - 4(1)(-65))) / 2(1)

Solving for x, we get:

x = (-3.5 +/- sqrt(12.25 + 260)) / 2

Therefore, the width of the rectangle is x = (-3.5 +/- 19.25) / 2 = -0.75 or 15.75 feet. Since the length of the rectangle is x + 3.5 feet, this means that the length of the rectangle is (-0.75 + 3.5) feet or (15.75 + 3.5) feet, which is equal to 2.75 feet or 19.25 feet.

However, we know that the length of the rectangle must exceed its width by 3.5 feet, so the only solution that is physically possible is x = 15.75 feet and the length of the rectangle is 19.25 feet. Therefore, the length of the rectangle is 19.25 feet.

Related Questions

1) Is this relation a function? WHY or WHY NOT?
X
-1
у
-8
5
9
-9
7
-8
-6
5
4

Answers

Answer:

yes its a function because the x side doesnt repeat itself

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

HELPPPPPPPPPP!!!!!!!!!

Answers

Answer:

100 hours

Step-by-step explanation:

can i get brainlist

Answer:

100

Step-by-step explanation:

80-1800

90-1900

100-2000

Correct answer brainlist

Answers

Answer:

easy y/x is the answer for you answer

links will get banned
​

Answers

Answer:

True

Step-by-step explanation:

It's a square, so it'll have rotational symmetry.

[tex] \infty \infty [/tex]

Find the base of a parallelogram with a hight of 10.5 feet and an area of 189 square feet?

Answers

Base=18

Step-by-step explanation:

I have used area equals to base times height that's the formula of a parallelogram and I've gotten that base equals to 18 hope this helps.

Number Machine #1
We've built a machine that follows these instructions:
Subtract 1
Multiply by 3
If we put 6 into this machine, what will come out?
Subtract 1
Multiply by 3
Submit
6

Answers

Answer:

6-1=5 times 3 =15

Step-by-step explanation:

ILL WILL BRAINLIEST YOU IF YOU GET IT RIGHT

PLEASE HELP ME FIND THE DISTANCE OF THE DIAGONAL

Answers

Step-by-step explanation:

Let x be the diagonal distance,

by pythagoras' theorem,

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

where c is the diagonal

a and b are the 2nd and 3rd longest side, interchangeable.

given a = 50m, b = 25m,

[tex] {c}^{2} = {50}^{2} + {25}^{2} \\ {c}^{2} = 2500 + 625 \\ {c}^{2} = 3125 \\ c = \sqrt{3125} \\ = 55.9m \: (nearest \: tenth)[/tex]

kk where my brainliest

Step-by-step explanation:

Explanation: You can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.

Find the volume of a rectangular pyramid with the following dimensions.
length = 9 in ; width = 7 in ; height = 5 in
A 315
B 105
C 0157.5
D 472.5

Answers

Answer:

B

Step-by-step explanation:

like my answer please gimme the brain

Plz help thank you alot

Answers

Answer:

A. 117.2 cubic feet

Step-by-step explanation:

Volume of the cone = ⅓πr²h

Where,

r = 4 ft

h = 7 ft

π = 3.14

Substitute

Volume = ⅓*3.14*4²*7

Volume = 117.226667 ≈ 117.2 cubic feet

find the perimeter of the figure ​

Answers

Answer:

(19x+10)/2

Step-by-step explanation:

Perimeter of the figure is the sum of all the sides

Perimeter of the figure = 4x+3 + x+2+2x+2 + x/10 -1 + 2x/5 + 2x-1

Perimeter of the figure = 4x+x+2x+2x+x/10+2x/5 + 3 + 2 + 2 -1-1

Perimeter of the figure = 9x + (x+4x)/10 + 5

Perimeter of the figure = 9x + 5x/10 + 5

Perimeter of the figure = 9x + x/2 + 5

Perimeter of the figure = (18x+x)/2 + 5

Perimeter of the figure = 19x/2 + 5

Perimeter of the figure = (19x+10)/2

99+72 = 9( ? +8) \
Pls help

Answers

It is 11. That is because 11 plus 8 equal 19, and 19 times nine is 171

MATH DUE IN A BIT TYSMMMM!!!!!!!!!!!

Answers

Answer:

A i think sorry if I'm wrong

Step-by-step explanation:

1/2 x 2/3 should equal 3/4 so it can be b or d

What’s the answer ? Pleaseee help

Answers

Answer:blue

Step-by-step explanation:

the dark one

724 Ft

Surface Area = 2×(17×4 + 17×14 + 4×14) = 724 feet^2

A bag contains. 7 red, 8 blue, 2 green, 5 black, and 3 yellow marbles. A marbles will be drawn from the bag and replaced 175 times. what is the reasonable prediction for the number of times a yellow or green marble be drawn?
A. 35
B. 25
C. 5
D. 7

Answers

Answer:

A. 35

Step-by-step explanation:

The total number of marbles is 25

The number of green & yellow marble is 5

The probability of getting a yellow or green marble (if drawn once) = 5/25

So, if drawn 175 times, 5×175/25 = 35

what is q(x)=9x2-24x+16

Answers

Answer:

1  1/ 3

Step-by-step explanation:

9x -5y = 16
-3x + 7y = 16


-4x - 2y = 14
10x - 7y = 25

Answers

ihivigivivvivivuvicugugovos

What is the domain of the linear function below?

Y=6x+3

A. All negative numbers
B. All positive numbers
C. Integers only
D. All real numbers

Answers

D all real numbers.....

the differences of 4 and a number x is 14

Answers

Answer:

x=18

Step-by-step explanation:

x-4=14

  +4  +4

x=18

i think it might be 10? :)

given MN AC find the length of BN
a21
b18
c29
d27

Answers

Answer:

C

Step-by-step explanation:

15 - 9 = 6, So I then looked at each answer to see which had a difference of 6 and 35 - 29 = 6.

GOOD LUCK IN MATH!

I need help plz answer!!!

Answers

Answer:

No.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

If you graph the equations, then you see that (3,8) is not the solution.

explain how to isolate the variable in the equation -2/3+7=15

Answers

Answer:

n= -12

Step-by-step explanation:

- 2n/3  + 7=15          Subtract 7 from both sides and move all terms containing

           -7 = -7                      n to the right

- 2n/3 = 8                multiply both sides of equation by - 3/2

-3/2  x (-2n/3) = -3/2 x 8

n= -3/2 x 8                     cancel the common factor of 3

n= -12

-3(7x-5)
Please I need an answer ASAP

Answers

Answer:

-21x + 15!

Step-by-step explanation:

Multiply using the distributive property. Hope this helps!

-Lei

Prove: The opposite sides of a parallelogram are equal.

Answers

Answer:

A=(0,0), B=(b,0), C=(b+c,d), D=(c,d) Then Using the distance formula

DC=√(c-[b+c])2+(d-d)2 DC=√b2 DC=b AB=√(0-b)2+(0-0)2 AB=√(-b)2 AB=√b2 AB=b  then DC=AB   DA=√(c-0)2+(d-0)2 DA=√c2+d2 CB=√(b+c-b)2+(d-0)2 CB=√c2+d2   then DA=CB

Step-by-step explanation:

how to solve 7x+(-3)=18​

Answers

Answer:

x=3

Step-by-step explanation:

7x(-3)=18

add 3 to both sides

7x=21

divide by 7 on both sides

x=3

Answer:

7x+(-3)=18

7x-3=18

7x-3+3=18+3

7x=18+3

7x=21

7x/7=21/7

x=21/7

x=3

Christine has a bookcase with 21 books. There are 7 shelves in the bookcase. Each shelf has the same number of books. How many books does each shelf have?.​

Answers

Answer:

3 books

Step-by-step explanation:

You divide 21 by 7 to equally distribute the books on each shelf.

Costas has an after school job. He budgets his money, allowing 0.31 of his earnings for food and 0.58 of his earnings for entertainment. The rest of the money he saves. If he earns $67.50 per week, which is the best estimate of the amount of money he saves each week ?

Answers

Answer: the amount of money he saves a week is $19.56

Step-by-step explanation: I am assuming that you mean percent so you subtract the percentages ($67.50 - 58%) - 31% This should give you a remaining amount of $19.56


7. A parabola has a maximum or minimum point called the
This is the point where the
curve changes direction. If the parabola opens up, the vertex is the
point. If it opens
down, it is the
point.
a) Axis of symmetry, minimum, maximum

b) Vertex, maximum, minimum

c) Axis of symmetry, maximum, minimum

d) Vertex, minimum, maximum

Please just type which letter ASAP, no links.

Answers

Answer:

D

Step-by-step explanation:

I need help with this pls

Answers

Answer:

Janet

Step-by-step explanation:

Because janet daily step count is 5000-9000And brends step count is7000-10000

Janat step count is 1000 greater than brenda.

Please mark me brainalist.

Ashleys Shoe Store buys shoes for $35 and then sells them for
$85.
What is the percent of increase on the price of the shoes?
Round to the nearest whole number

Answers

Step-by-step explanation:

% Increase = ((New value - Old Value) / Old Value) * 100

Given New value = $85

and Old Value = $35

% Increase =

[tex] (\frac{85 - 35}{35} ) \times 100 \\ = ( \frac{50}{35} ) \times 100 \\ = 143percent(nearest \: whole \: number)[/tex]

plz help
what´s [tex]\sqrt{100}[/tex]
THANK YOU!!

Answers

Answer:

10 is the answer of your question

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