The area of the rubber coating for a flat roof was 96 ft². The rectangular frame the carpenter built for the
flat roof has dimensions such that the length is 4 ft longer than the width. What are the dimensions?

Answers

Answer 1

Answer:

Length = 12 ft.

Width = 8 ft.

Step-by-step explanation:

Given :

Area = 96 ft²Length = Width + 4 ft.

Let :

Length = (x + 4) ft.Width = x ft.

Solving :

The formula for calculating area is : Area = Length x Width96 = (x + 4)(x)x² + 4x - 96 = 0x² + 12x - 8x - 96 = 0x(x + 12) - 8(x + 12) = 0(x - 8)(x + 12) = 0x - 8 = 0 ⇒ x = 8

The dimensions are :

Length = 12 ft.

Width = 8 ft.


Related Questions

help will mark Brainliest!!​

Answers

Answer:

-20.5

Step-by-step explanation:

Using a basic calculator, you divide 10.25 by -.5 which easily gives -20.5


The variables x and y vary inversely. Use x = 4 and y = 8 to write an equation relating x and y. Then find y when x
= 2.

Answers

Answer:

y=[tex] \frac{32}{x} [/tex]16

Step-by-step explanation:

y=

[tex] \frac{k}{x} [/tex]

when x=4 and y = 8

k =xy

k=4×8=32

:- y=

[tex] \frac{32}{x} [/tex]

when x = 2

y=

[tex] \frac{32}{2} [/tex]

:- y = 16

What is the value of 50 x 3 - 120 / 40

Answers

Answer:

The answer is 150-3

That is 147

Step-by-step explanation:

Do This

(50 x 3)-(120/40)

150-3

147 is your answer

HELP! ASAP PLS! find the surface area of this solid

Answers

Answer:  855 I think :)

Rahul drives 10 miles in 20 minutes. If he drove three hours in total at the same rate, how far did he go?
Before you try that problem, answer the question below.
How many minutes did Rahul drive in total?

Answers

Answer: 180 minutes

90 miles in 3 hours

Step-by-step explanation:

60 minutes = 1 hour

60 mins/20 mins = 3

60*3 = 180

30 miles per hour for 3 hours is 90 miles

Please help me with this really need the answer please

Answers

Answer: 33.148 cm^2

Step-by-Step Explanation:

Length (l) = 2.1 cm
Width (w) = 1.34 cm
Height (h) = 4 cm
Surface Area = 2(lw + wh + lh)

Therefore,
=> 2(lw + wh + lh)
= 2(2.1 * 1.34 + 1.34 * 4 + 2.1 * 4)
= 2(2.814 + 5.36 + 8.4)
= 2(16.574)
= 2 * 16.574
=> 33.148

Surface Area = 33.148 cm^2

Questions are on the picture, a-e.

Answers

The equilibrium price is $1.12.If price is $0.98, there would be scarcity of Super Widgets. When price is $0.98, quantity demanded is y. When price is $0.98, quantity supplied is x. When price is $1.22, there would be a surplus of Super Widgets.

What is equilibrium?

Equilibrium price is the price at which the quantity demanded equals the quantity supplied. The equilibrium price is $1.12.

Above equilibrium price, quantity supplied would exceed quantity demanded and there would be a surplus. When price is below equilibrium price, quantity supplied would be less quantity demanded and there would be a scarcity.

To learn more about equilibrium, please check: https://brainly.com/question/26075805

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Which polynomial expression is equal to (a + 3)(a − 3)(a² + 9)?

Answers

Answer:

a⁴ - 81

Step-by-step explanation:

Identity applied :

(a + b)(a - b) = a² - b²

Simplifying :

(a + 3)(a − 3)(a² + 9)(a² - 9)(a² + 9)a⁴ - 81

Given the following quadratic sequence -2, 0, 3,7
1. Write down the value of the next two terms of this sequence
2. Determine the n term of this sequence
3. Which term of the sequence will be equal to 322?​

Answers

Answer:

1) 12

2) an=n²+n-6/2

3) the 25th term

Step-by-step explanation:

check explanation in the attached image

[tex]\sqrt{272}[/tex] Simplify.

Answers

√272 is a real number, and the simplified expression of √272 is 4√17

How to simplify the expression?

The expression is given as:

√272

Expand

√272 = √16 * 17

Take the square root of 16

√272 = 4√17

Hence, the simplified expression of √272 is 4√17

Read more about real numbers at:

https://brainly.com/question/7784687

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can anyone tell me what point I plot these two at pls

Answers

Answer:

[tex]x^{2} +y^{2}=25[/tex]

[tex]x^{2} +y^{2}=5[/tex]

Radius: 5

Radius: [tex]\sqrt{5}[/tex]

Step-by-step explanation:

(see images below)

Hope this helped!

~rere

help please I'm confused​

Answers

Answer:

Milena level tro bau bola ehh

Answer:

1.3 < x < 6.7

Step-by-step explanation:

The property of triangles is that the length of the third side must be less than the sum of the lengths of the other 2 sides.

Minimum value : Taking 4.0 to be the 3rd side.

2.7 + x > 4.0x > 1.3

Maximum value : Taking x to be the 3rd side

2.7 + 4.0 > xx < 6.7

Range

1.3 < x < 6.7

4. Make a table and graph the function. (1 point)
y = 4x + 2

Answers

Y intercept is (0,2)
Slope is 4/1 y/x so (1,4)

Look at the image below.

Find the area of the parallelogram.

Answers

Answer:

Below.

Step-by-step explanation:

Area = base * perpendicular height

= 3 * 5

= 15 square units.

The area of the parallelogram is 15 square units.

What is Parallelogram?

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal

Area of a two dimensional shape is the total region which is bounded by the object's shape.

If the base and height is known,

Area of a parallelogram = base × height

Given base = 3

Height = 5

Area = 3 × 5 = 15 square units

Hence the required area of the parallelogram is 15 square units.

Learn more about Parallelogram here :

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Find the length of arc XPY. Leave your answer in terms of pi.​

Answers

Answer:

2π m.

Step-by-step explanation:

Arc XY is 1/4 of the circumference of the circle

= 1/4 * 2π * r

= 1/2 π * 4

= 2π m.

Describe the end behavior of each function.
3) f(x) = -x^4+x^2 -x+1

Answers

Answer:

End Behavior is

y -> -inf as x -> -inf
y -> -inf as x -> +inf

Step-by-step explanation:

I am not sure if your teacher has explained how to look at the equation and determine the end behavior of that function without a graph. Here is a picture that explains it.

SOMONE PLEASE HELP ME I WILL GIVE YOU 30 POINTS AND BRAINLESS??

Given: mZRPQ = 23°; m ZTPR = 85

If ZSPR and ZRPQ are complementary angles, then what is the measure of ZTPS?

A. 5
B. 18°
C. 23°
D. 67°

Answers

Answer:

I would think 23°

Step-by-step explanation:

I could be wrong but I would think 23° because if I remember correctly they're congruent.

what is the maximum monthly credit obligation that she has​

Answers

Answer:

  $373.50

Step-by-step explanation:

Her monthly maximum obligation should be 15% of Bridgette's take-home pay of $2490.

  $2490×15% = $373.50

What is the volume of the Pop-Cone?
What is the price per cubic inch for the Pop-Cone?
Base=5in
Height=8in
PLSS HELP ASAP

Answers

Base radius is 5in

Height=8in

Volume

1/3πr²h1/3π(5)²(8)1/3π(8)(25)200π/3209.3in³

Answer:

Volume = 13.3 in³ (nearest tenth)

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

[tex]\textsf{Base area of a cone = area of a circle}=\sf \pi r^2[/tex]

[tex]\implies \textsf{Volume of a cone}=\sf \dfrac{1}{3} h \times \textsf{base area}[/tex]

Given:

Base area = 5 in²Height = 8 in

Substituting the given values into the formula:

[tex]\begin{aligned}\implies \textsf{Volume of a cone} & =\sf \dfrac{1}{3} (8)(5)\\\\ & = \sf \dfrac{40}{3}\\\\ & = \sf 13.3\:in^3\:(nearest\:tenth)\end{aligned}[/tex]


Solve 12x
x + 16 - 1 = 0

Answers

Answer:

xx=-0.8

Step-by-step explanation:

not sure if this is right because the 12xx is kind of strange

12xx+16-1=0
12xx+15=0
12xx=-15
12/12xx=12/-15
xx=-.8

A person works and earns $3853 dollars but on a pay stub pays 49% to tax. What is the sales Tax?

Answers

Answer:

1887.97 (3853 * 0.49)

Step-by-step explanation:

3853 * 0.49

Help asap please. Thank you!!!!

Answers

Answer:

Step-by-step explanation:

You've plotted 3 points where x = 0, 1 and 2

= where y = 1, 1 1/2 and 9/4

They are correct.

I suggest you plot 1 more where x = -1 and another where x = 3

Where x = -1 , y = (3/2)^-1 = 2/3.

x = 3 , y = (3/2)^3 = 27/8 = 3 3/8.


Given the following equation what is the value of y if x = 7

Answers

y = 8(49) + 9(7) + 11

y = 466

how do you convert weight measurements?

Answers

Answer:

See below

Step-by-step explanation:

You will need to know the conversion factors for each type of measurement

example    1 pound = 2.204 Kg

or    1 pound = 16 ounces  

or   1 ounce = 28.35 gm

etc

(x) = -2x - 3
g(x) = 3x + 1
Find (f .g)(x)

Answers

Answer:

Answer:-6x^2 -11x - 3

Step-by-step explanation:

(f.g)(x)=(-2x-3)(3x + 1)

= -6x^2 -11x - 3

I really need help with this.

Answers

Answer:

300 cm cubed or 300 cm^3

Step-by-step explanation:

(b x h ) / 2 = Area of triangle

5 x 12 = 60

60 / 2 = 30

Because it is a prism, the cross-sectional area is the same throughout the prism. Therefore, you just need to multiply the area by the height/width, which is 10cm.

30 x 10 = 300 cm cubedor 300 cm^3

Answer:

1/2BA*2+l*w

1/2*12*5*2+10*13+12*10+10*5

=360cm

Aline has a slope of 6 and includes the points (-9, 0) and (-8, a). What is the value of a?
Submit
Please help

Answers

Answer:

a = 6

Step-by-step explanation:

Given information:

Slope = 6

Coordinates: (-9, 0) and (-8, a)

Slope formula = y2 - y1 / x2 - x1

Substitute the given values into the formula.

6 = a - 0 / -8 - (-9)

6 = a - 0 / 1

6 = a - 0

a = 6

hope this helps!! p.s. i really need brainliest :)

What do you know about measure AEB compared to angle ADB?

Answers

Answer:

[tex]m \angle AEB = m \angle ADB[/tex]

Step-by-step explanation:

By the Inscribed Angle Theorem, since both angles have the same intercepted arc, they are congruent.

What is the slope of a line parallel to the line whose equation is 6x + 5y = -5.
Fully simplify your answer.

Answers

                      ➢◇✳︎✧✥---------------------------------------------✥✧✳︎◇⤎

[tex]Hello[/tex] [tex]There![/tex]

   We need to find the slope of the line that's parallel to 6x+5y=-5.

It's not hard, I promise! I'm going to take you through a few steps, and we'll find the answer.

Are you ready? Let's start. :)

[tex]Procedure:[/tex]

➢ First, subtract 6x from both sides:

5y=-5-6x

✦ Switch the order of the terms:

5y=-6x-5

➢ Now, divide both sides by 5:

y=-6/5x-5/5

✦ Which is the same as

[tex]\bold{y=-\displaystyle\frac{6}{5} x-1}[/tex]

➢ Part of the problem's already solved! :)

  Now, parallel lines have the same slope.

✦So the slope of the line parallel to 6x+5y=-5 is also:

◉ [tex]\bold{-\displaystyle\frac{6}{5}}[/tex] ☑︎

Problem solved! :)

hope it's helpful!wishing you a great day!

[tex]Greetings ![/tex]

     ◆     •     ❖ _____________________________________❖   •. ◆

How do I use the standard altherigm?

Answers

Answer:

Step-by-step explanation:

The standard algorithm is a way of doing multiplication by using partial products or multiplying in parts. What you do with this algorithm is multiply the top number by the bottom number one digit at a time, working your way from right to left.

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