Perimeter of a rectangular concrete slab is 102 feet and it's area is 560 ft.² what is the length of the longer side of the slab

Answers

Answer 1

Answer:

The longer length is 35ft

Step-by-step explanation:

Given

[tex]Area = 560[/tex]

[tex]Perimeter = 102[/tex]

Required

Determine the longer length

Represent the length with L and width with W

So, we have:

[tex]L * W = 560[/tex] --- Area

[tex]2*(L+W) = 102[/tex] --- Perimeter

Divide both sides by 2 in:

[tex]2*(L+W) = 102[/tex]

[tex]L + W = 51[/tex]

Make L the subject:

[tex]L = 51 - W[/tex]

Substitute 51 - W for L in [tex]L * W = 560[/tex]

[tex](51 - W) * W = 560[/tex]

[tex]51W - W^2 = 560[/tex]

Reorder the equation

[tex]W^2 - 51W + 560 = 0[/tex]

Expand

[tex]W^2 -35W - 16W + 560 = 0[/tex]

[tex]W(W-35)-16(W-35) = 0[/tex]

[tex](W-16)(W-35) = 0[/tex]

Split:

[tex]W - 16 = 0\ \ \ W - 35 = 0[/tex]

[tex]W = 16\ \ \ W = 35[/tex]

This implies that the longer length is 35ft


Related Questions

what is there in between the two rational numbers .​

Answers

An infinity of IRrational numbers, and an infinity of other rational ones.

what is another name for proportional relationships?

Answers

Answer:

equivalent  i think

Step-by-step explanation:

a wholesaler received 5,000.00 for 50 raincoats . how much did the wholesaler get for each raincoat

Answers

Answer:

100

Step-by-step explanation:

..................

Which expression has a positive quotient?
Negative three-fourths divided by Negative two-thirds
Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth
2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth
Negative 6 divided by Five-thirds

Answers

Answer:

Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Step-by-step explanation:

We will solve to find out Which expression has a positive quotient.

We know the division rule: [tex]\frac{-a}{-b}=\frac{a}{b}[/tex] and [tex]\frac{-a}{b}=\frac{-a}{b}[/tex]

We will use these rules

1) Negative three-fourths divided by Negative two-thirds

[tex]=\frac{-\frac{3}{4} }{-\frac{2}{3} }\\=-\frac{3}{4}\times -\frac{3}{2}\\=\frac{9}{8}[/tex]

The quotient is positive.

2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

[tex]\frac{-\frac{1}{8} }{3\frac{1}{5} }\\=\frac{-\frac{1}{8} }{\frac{16}{5} }\\=-\frac{1}{18} \times \frac{5}{16}\\=-\frac{5}{288}[/tex]

The quotient is negative.

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

[tex]\frac{2\frac{2}{7} }{-\frac{1}{5} }\\= \frac{\frac{16}{7} }{-\frac{1}{5} }\\=\frac{16}{7} \times -5\\=-\frac{80}{7}[/tex]

The quotient is negative.

4) Negative 6 divided by Five-thirds

[tex]\frac{-6}{\frac{5}{3} }\\=-6 \times \frac{3}{5}\\=-\frac{18}{5}[/tex]

The quotient is negative.

So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Answer:

its A

Step-by-step explanation:

i did the test

Which expression is equal to 9(6 - t)? How do you know?

Answers

Answer:

54-9t

Step-by-step explanation:

multiply the 9 with 6 and multiply 9 with the t which has an invisible 1

the answer is 54-9t. good luck!

Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 grams in the other pan, the pans balance each other. Which equation can be used to find the weight of each steel ball?

A.8=26x
B.8x=120x
C.8x+20+=6x
D.8x=6x+20

Answers

The answer is D. 8x=6x+20

write the slope intercept form of the equation of each line

Answers

slope intercept form is y=mx+b :)

Answer:

7) y= -2x + 2

8) y= -2x + 1

Step-by-step explanation:

Triangle ABC has side lengths 8 cm, 17 cm, and x cm. The side length of x is shorter than the longest side. What does the value of x need to be in order for the triangle to be considered a right triangle?

Answers

Answer:

8 cm and 15 cm

The measure of the side is 15 cm

The measure of the right angle triangle is 8 cm, 15 cm and 17 cm

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle BC = 8 cm

The height of the triangle be AB = x cm

The hypotenuse of the triangle AC = 17 cm

So , for the triangle to be a right angle triangle ,

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

So , AB² = AC² - BC²

On simplifying the equation , we get

AB² = 17² - 8²

AB² = 289 - 64

AB² = 225

Taking square roots on both sides of the equation , we get

AB = 15 cm

Therefore , the value of x is 15 cm

Hence , The measure of the side is 15 cm

The measure of the right angle triangle is 8 cm, 15 cm and 17 cm

To learn more about triangle click :

https://brainly.com/question/16739377

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(3z + 1) + (5 + 72)=


Please help quick

Answers

Answer:

3z + 78

Step-by-step explanation:

Simplify

(3z + 1) + (5 + 72)

(3z+1) + 77

3z + 78

Hope this helped you!! If you want to ask any questions about it, I will answer them!! Or if you want it explained more or in a different way, just let me know :))

How much paint does Brielle need to finish her room

Answers

Answer:

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

Step-by-step explanation:

As, this question is incomplete, so we will create similar question and complete it. '

Let's suppose Brielle's room has following dimensions:

Length of two walls =  10 ft

Length of other two walls = 12 ft

Height of the room from bottom to ceiling = 10 ft

In order to calculate the amount of paint needed, we need to calculate the surface area of the room to be painted.

So, for that, add all the lengths together and multiply it by height of the room.

SF = (L1 +L2 +L3+ L4) x H

SF = (10 + 10 + 12 + 12) x (10)

SF = 440 sq.ft = Actual footage of the room to be painted.

Now, we have convert this number in gallons to know the amount of paint required to paint Brielle's room. For this, we need to divide our SF to 350 sq.ft per gallon.

Paint Needed = 440 sq.ft / 350 sq.ft per gallon

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

Determine the number of lines of symmetry for the figure.

Answers

Answer:

theres 26 lines of symmetry i think....hope this helps:)

which number is NOT correctly rounded from 82.927? ​

Answers

Answer:82

Step-by-step explanation:

Answer:

The number in the thousands place uhm there isn't no thousands place so I think it's the hundredths place which is rounded to the nearest 0.01

the slope of the graph 4 y 4 x

Answers

Answer:

_5-_2-_4 is the answer I hope it helps

Find the equation of the line that is parallel to the given line and passes through the given point. y = −2x + 1; (8, 7)

Answers

Answer: y= -2x + 1

              y= -2x + 23

Step-by-step explanation:

Becky and Cathy are sisters . Becky is four year older than Cathy . The following shows how Becky ages y changes as Cathy age is x changes

Answers

Answer:

D. y=x+4

Step-by-step explanation:

The y value in this graph is the x value + 4, such as the points (0,4) and (2,6) that lie on the graph. You can also tell by the y intercept being 4 on the graph and the slope being one.

what is the percent of 65 minutes out of 24 hours

Answers

Answer:

2.7

Step-by-step explanation:

65/24

Answer:

4.5%

Step-by-step explanation:

24*60 to make the hrs into minutes

24*60=1440

65/1440= 4.51388888889

round the number

4.5%

I need help!!! ITS IMPORTANT ​

Answers

Answer:

Electricity makes work easier.

We do not have to walk to a river to get water or wash our clothes and we can cook foods by switching a button.

Step-by-step explanation:

Answer:

hi how are you fineeeeee

Find the equation of the line passing
through the points (2, 1) and (5, 10).
y = [? ]x + ( )

Answers

Hope that kinda helps you.✌︎︎✍︎︎

What value completes the square for the expression x²+8x+_

Answers

i think the answer is (x+4)2 -16 ..

16d=10
What’s the answer??
I need it quick plz

Answers

Answer: d = 5/8

Step-by-step explanation:

first, you divide both sides.

16d / 16 = 10 / 16

then, you divide and rewrite.

d = 16/10

then, reduce the fraction.

d = 5/8

Answer:

d=1

Step-by-step explanation:

kfkfkdlsldkfnskkd THAT'S THE ANSWER

enter the value of 5/6+-(4/9)- (-2)

Answers

Exact form:43/18
Mixed numbers form:2 7/18

Identify the like terms:
4x - 7+ 6y + 2x + x + 16 - 3x

Answers

The answer is 4x+9+6y

Answer:

4x−7+6y+2x+x+16−3x

=4x+−7+6y+2x+x+16+−3x

Combine Like Terms:

=4x+−7+6y+2x+x+16+−3x

=(4x+2x+x+−3x)+(6y)+(−7+16)

=4x+6y+9

Answer:

=4x+6y+9

What are the output values for this data set:

{ (0,8), (1,9), (2,13), (3,23) }?

Answers

Answer:

its 8,9,13,23 or b

Step-by-step explanation:

toke the test

Answer:

8,9,13,23

Step-by-step explanation:

i took the test as well\

A company purchased equipment for $150,000 by paying $50,000 and signing a $100,000 note payable. The entire $150,000 is reported as a cash outflow in the financing section of the statement of cash flows.

Answers

Answer: False

Step-by-step explanation:

The financing section deals with only the transactions that have to do with equity and debt. The Investing section deals with capital expenditure such as fixed assets and investments in other company securities.

The $50,000 should therefore be recorded in the Investing section as a Cash outflow.

The $100,000 is not a cash transaction but will be recorded in the Notes to the Statement of Cashflows as a Non-Cash transaction for disclosure purposes.

what's the square root of 15 divided by 5 square root of 20?

Answers

Answer:

√3/10 = 0.1732

Step-by-step explanation:

√15 / 5√20 = (√5 x √3) / 5(√5 x √4) = √3 / (5 x√4) = √3 / 10

3-2|x+4|+3=1 the answer for this​

Answers

Answer:

x={-3/2,-13/2}

Step-by-step explanation:

3-2|x+4|+3=1

-2|x+4|+6=1

-2|x+4|=-5

|x+4|=5/2

x+4=5/2

x+4=-5/2

x=5/2-4

x=-3/2

x=-5/2-4

x=-13/2

in exercise 4 and 5 find the unkown or marked angles​

Answers

Answer:

Ф = 110°, β = 110°

Step-by-step explanation:

∠Ф and the 110° angle are corresponding angles since the vertical lines are parallel and a horizontal line cut across both lines. Thus Ф = 110°.

∠β and ∠Ф are alternate angles since the horizontal lines are parallel and a vertical line cut across both lines. Thus Ф = 110° and ∠β = 110°.

How would you solve 4n-5<-9n+47 to get the solution?

Answers

Answer:

n<4

Step-by-step explanation:

4n-5<-9n+47

13n<52 |:13

n<4

When you multiply a function by –1, what is the effect on its graph?

A.
The graph flips over the y-axis.

B.
The graph flips over the line y = x.

C.
The graph flips over the x-axis.

Answers

Answer: C) The graph flips over the x axis.

This is because we're multiplying the y outputs by -1, to make them flip in sign from positive to negative (or vice versa).

Let's say the point (1,2) is on the f(x) curve. Multiplying y = f(x) by -1 will make the point turn into (1,-2). Apply this logic to every point on the f(x) curve and we end up with f(x) reflected over the horizontal x axis.

The notation we could write is either g(x) = -1*f(x) or g(x) = -f(x).

write a story for this equation y = 0.5x + 5

help x

Answers

Answer:

John has a phone plan that has a $5 initial fee and costs $0.5 per call. How much money would John spend if he has made 17 calls?

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