The length of a rectangle is 1 ft greater than its width. Each diagonal is 985 ft long. Find the dimensions of the rectangle.
length
ft:
width
ft:

Answers

Answer 1

Answer:

Width = 696.

Length = 697.

Step-by-step explanation:

Let the width be x, then the length = x+1 feet.

Using the Pythagoras Theorem:

x^2 + (x + 1)^2 = 985^2

x^2 + x^2 + 2x + 1 = 985^2

2x^2 + 2x - 970224 = 0

Using the quadratic formula:

x = [-2 +/- √(2^2 - 4*2*-970224)] / (2*2)

x =   696, -697(we ignore the negative root).


Related Questions


Given a right triangle with one leg of 4 units long and another leg 3 units long how long is the hypotenuse?

Answers

Answer:

5 units

Step-by-step explanation

Answer:

3

Step-by-step explanation:

I was too lazy to provide an explanation


Which figure represents the image of parallelogram
LMNP after a reflection across the line y = x?

o figure A
O figure B
o figure C
O figure D

Answers

The figure that represents the image of parallelogram LMNP after a reflection across the line y = x is figure C

How to determine the figure?

From the graph, the coordinates of the parallelogram LMNP are:

L = (3,1)

M = (4,3)

N = (5,3)

P = (4,1)

When reflected across the line y = x, the coordinates become

L' = (1,3)

M = (3,4)

N = (3, 5)

P = (1, 4)

The figure with the above coordinates is figure C

Hence, the figure that represents the image of parallelogram LMNP after a reflection across the line y = x is figure C

Read more about reflection at:

https://brainly.com/question/4289712

What is step 10 in this proof

Answers

Answer:

I do not understand this. I am sorry.

Answer:

More details pls

Step-by-step explanation:

Hannah pays $27.50 for her dinner at her favorite restaurant in New York City. The cost of her dinner includes tax and tip, which was a 30% increase on the cost of her meal. What is the cost of Hannah’s meal without tax and tip?

Answers

Answer: $19.10

Step-by-step explanation:

To be honestly im not sure if this is 100% correct but, i did the work so it should be. So what i did was move the decimal from $27.50 one place to the left which is= 2.750. i then rounded the easiest number which then gave me the answer $2.80. Now the percentage, its 30% so you then change it to .30

then you multiply that number (.30 which is basically 3) with $2.80.

$2.80

x   .30

--------

you then get $8.40

which is the total cost of tax AND tip.

you subtract that with the cost of the dinner. ( $27.50 - $8.40 ) and you get the answer $19.10! I hope this helps! :))

The average no. of defective components
on o repairing a computer is found to 1 in 10
find the probability of getting exactly 3
defective components among 10 repaired
computer selected at random.​

Answers

_______________________________

= 3 ÷ 10 × 100= 30%THE CHANCES ARE 30%

_______________________________

List the angles in order from smallest to largest 2.8 3.2 and 3

Answers

2.8 3.2 and lastly 3.

Answer:

2.8, 3, 3.2                           jhgfdsdrftggggggbhjn

answer quickly pls ill mark brainliest

Answers

Answer:

32x - 24y - 5

Step-by-step explanation:

That's the answer that I got on the question

Answer:

4x-3y-5

plz mark me branliest

what is the value of k?

Answers

Someone better come get her because she dancing like a s.t.i.p.p.e.r

Help please. Which polynomial represents the sum below? (20 points)

Answers

Answer:

b option ..............

6
Factor the expression.
4z- 28

Answers

Answer:

Simplifying

4z = 28

Solving

4z = 28

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Divide each side by '4'.

z = 7

Simplifying

z = 7

Jack is mowing a lawn that has a shed,

Find the area of the lawn that jack has to mow.

The dimensions of the yard are 12x - 6 long and 7x wide.

The dimensions of the shed are 2x + 4 long and 4x wide.

Find a polynomial that describes the area of the lawn that needs to be mowed.

Step 1: Find the area of the lawn.

Step 2: Find the area of the shed.

Step 3: Find the area of the lawn by subtracting the shed area from the yard area.

Answers

Answer:

76x^2 - 58x

Step-by-step explanation:

Area of the Yard: 7x(12x-6) = 84x^2-42x

Area of the Shed: 4x(2x+4) = 8x^2+16x

Area of the Lawn: 84x^2-42x -(8x^2+16x) = (84x^2-8x^2) + (-42x-16x) =

76x^2 - 58x

The answer is "[tex]\bold{84x^2 - 42x, 8x^2 + 16x,\ and\ 76x^2 - 58x}[/tex]", and the further calculation steps can be defined as follows:

For step 1:

Calculating the lawn area:

[tex]\to \bold{7x (12x -6) = 84x^2 - 42x}[/tex]

For step 2:

Calculating the shed area:

[tex]\to \bold{4x( 2x + 4) = 8x^2 + 16x}[/tex]

For step 3:

Calculating the lawn area by subtracting the area of the shed from the area of the yard:

[tex]\to\bold{ 7x (12x -6) - (4x(2x+4))}\\\\\to\bold{ 84x^2-42x -(8x^2+16x)}\\\\\to\bold{ 84x^2-42x -8x^2-16x}\\\\\to\bold{ 76x^2-58x}\\\\[/tex]

So, the final answer is "[tex]\bold{84x^2 - 42x, 8x^2 + 16x,\ and\ 76x^2 - 58x}[/tex]".

Learn more:

Area calculator: brainly.com/question/22951582

Find the x values of x in the parallelogram

Answers

Answer:

No idea

Step-by-step explanation:

You need to show the parallelogram in order for your question to make sense.

Someone help me with number 2 please

Answers

Dang that’s hard , hope somebody helps you.
I think it is A, hopefully you get it right

3. Kai sold 3x +5 textbooks in August and 2in September. What
would be the simplified expression that represents the total number of
books Kai sold in those two months? *

Answers

Answer:

3x+7

Step-by-step explanation:

Answer:

maybe?

Step-by-step explanation:I think it would be 3x+7 because you'd just add the 2 in september to the 5 in aug.

Given: f(x) = 2x^4 – 3x^3– 35x^2 – 9x + 45
Explain how you can show that (x-1) and (x+3) are factors.​

Answers

Answer:

45-35-9-3+2 = 45-47+2 = 0

if the sum of coefficients is equal to 0, 1 is the factor of the polynomial

you can find other integer factors by looking on the integer factors of 45, so -3 will be a guess or you use use Horner, find how does this polynomial look like after factoring out (x-1) and try to group or other technic

Find the value of x. Round to the
nearest tenth.

Answers

Here’s the answer and how you do the problem :)

Step-by-step explanation:

The answer can be found by multiplying 1.4ft by 2.1 ft which gives you 2.94 the four in the 2.94 cannot be rounded up but the 9 can which makes the answer 3 feet by rounding the 2.9 up to 3

2y+1=x
3x+y=17
Substitution

Answers

Answer:

The answer is (5,2) or x = 5, y = 2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Hoped this helped!

Could I perhaps get brainly?

I WILL BRAIN LIST YOU HELP
Cora ran 3 miles last week and will run 7 miles per week from now on. Hana ran 9 miles last week and will run 4 miles
per week from now on.
In the answer box below,
1. Write a system of equations to describe this scenario.
2 Use Desmos to graph the system of equations you wrote and identify what the solution means in the context of the
problem

Answers

Answer:

See below and attached

Step-by-step explanation:

Cora ran 3 miles last week and will run 7 miles per week from now on.

y = 3 + 7x

Hana ran 9 miles last week and will run 4 miles  per week from now on.

y = 9 + 4x

The graph is attached

Intersection of the lines is the point when both Cora and Hana run same distance, 17 miles after 2 days

1/3 *divide* 3/8 = m

help?

Answers

Answer:

8/9

Step-by-step explanation:

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

'

Thus, the answer to 1/3 divided by 3/8 in fraction form is: 8/9

Answer:

8/9

Step-by-step explanation:

Use a calculator. It is way easier. Math is hard.

Are they like terms? 3x & -x

Answers

yea cuz they both have x

One side of a triangle is two times the second side. The third side is 5 feet longer than the second side. The perimeter of a triangle is 49 feet. Find the length of each side.

Answers

Second side= x
First side = 2x
Third side = x+5
x+2x+x+5=49
4x=44
x=11

1st side= 22
2nd side = 11
3rd side = 16

Is 5.421 greater or less then 5.4

Answers

greater than 5.4 i hate the 20 characters rule

Answer:

5.421 > 5.4

Step-by-step explanation:

Find the area of a circle with a circumference of 18.84 units

Answers

Answer:

28.25

Step-by-step explanation:

Area = C²/ 4π = 28.245673384359

Answer:

28.25 units^2

Step-by-step explanation:

Hope this helps!

Tell whether or not the relation is a function.
{(-4,-7), (-1, 8), (4, -7), (4, -8)}

Answers

Answer:

Not a function because the domain 4 repeats.

can someone solve this please?

Answers

Answer:

3.16 units

Step-by-step explanation:

The distance between the points P1 (6, 8) and P2 (7, 5)) can be solved by using the distance formula given as [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex].

Let,

[tex] (6, 8) = (x_1, y_1) [/tex]

[tex] (7, 5) = (x_2, y_2) [/tex]

Plug these values into the distance formula.

Thus:

[tex] d = \sqrt{(7 - 6)^2 + (5 - 8)^2} [/tex]

[tex] d = \sqrt{(1)^2 + (-3)^2} [/tex]

[tex] d = \sqrt{1 + 9} [/tex]

[tex] d = \sqrt{10} = [/tex]

d = 3.16 (nearest tenth)

Distance between the two points in the graph is approximately 3.16 units

6 times 3 and 2/3 distributive property

Answers

Answer: about 11.88

Step-by-step explanation: you just multiply all of it lol

Byron drives from his house to the gas station and then to the market. How many miles does he drive in all? B 7 Gas station (3.8) Byron's house (88) Market (3.3) 1 unit 1 mile​

Answers

Answer:

95.1 miles

Step-by-step explanation:

If one unit equal to one mile

Then,

Gas Station with 3.8 units = 3.8 miles

Byron's house with 88 units = 88 miles

Market with 3.3 units = 3.3 miles

Total miles travelled from Byron's house to gas station and then to market =3.8+88+3.3= 95.1 miles

Is this correct? I don’t think it is just guessed.

Answers

Step-by-step explanation:

Checked out the attached image

Alexandra read 3/7 of the pages in her 112-page book. How many pages has she read already?

Answers

Answer:

48 pages

Step-by-step explanation:

112÷7=16 so 3x16=48

is y=4x+2 proportional?

Answers

not proportional

y=mx+b

does not cross origin

Only CRoC

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