The width of a rectangle is 9 feet less than the length. The area is 580 square feet. Find the length and width of the rectangle.

Answers

Answer 1

Answer:

5220

Step-by-step explanation:

Answer 2

A=580, A=LW, W=L-9

580=L(L-9)

L^2-9L-580=0

(L-29)(L+20)=0, L>0 so L=29, W=29-9=20


Related Questions

What is the solution to x-4≤6?

Answers

Answer:

x - 4 _< 6

Step-by-step explanation:

In the text box, write the next 3 terms in the sequence and describe the pattern. In the checkbox, identify if the sequence is arithmetic, geometric or neither and identify if the sequence has a common ratio, a common difference or neither.

-4, -2, 0, 2, ____, ____, ____,

Arithmetic
Geometric
Neither
Common difference
Common ratio

Answers

Answer:

d = 2

Next 3 terms = 4, 6 and 8

Step-by-step explanation:

Given the sequence

-4, -2, 0, 2, ____, ____, ____,

common difference = -2-(-4) = 0-(-2) = 2

Since they have the same common difference, hence it is an arithmetoc progression

Tn  = a +(n-1)d

a is the first term = -4

n is the number of terms

d is the common difference = 2

Get the fifth term

T5 = -4+(5-1)2

T5 = -4+(4)(2)

T5 = -4 + 8

T5 = 4

T6 = -4+(6-1)2

T6 = -4+(5)(2)

T6 = -4 + 10

T6 = 6

T7 = -4+(7-1)2

T7 = -4+(6)(2)

T7 = -4 + 12

T8 = 8

Hence the next 3 terms are 4, 6 and 8

Escribevel numero decimal que corresponde alos puntos intermedios que indican las flechas

Answers

Answer:

cualeeeeeeeeeeeeeeeeeeeeees fffffleeeeeccccchhhhaaaasssss

Solve this system by using the elimination method. 2x + 3y = - 12 - x - 3y = 18

Answers

Answer:

Step-by-step explanation:

2x + 3y = -12

-x - 3y = 18

x = 6

-6 - 3y = 18

-3y = 24

y = -8

(6, -8)

The solution of the system by using the elimination method is (6, -8).

What is an Equation?

An equation says that two things are equal. It will have an equals sign "="

How to solve it?

We have,

2x + 3y = -12

-x - 3y = 18

x = 6

Now,

-6 - 3y = 18

-3y = 24

y = -8

We got the solution:

(6, -8)

Learn more about Equations:

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The population of a small town is growing at a rate of 5% per year. If the population right now is 22 000, What will the population be 10 years from now?

Answers

Answer:

35,836

Step-by-step explanation:

I had this question before and I believe this is correct.

Answer:

the population 35,836 in 10 years.

Step-by-step explanation:

The numbers representing the population in consecutive years create a geometrical sequence with:

a1 = 22,000

and

q = 1 + 0.5 = 1.05

We are asked to find the population after

10 years. This number is the eleventh term in the sequence, so we are looking for:

a11 = a1 ⋅ q^10 = 22, 000 ⋅ (1.05)^10

After substitution of given data we have:

a11 ≈ 35, 836

*Answer:* "After 10 years the population will be 35, 836."

Which statement is always true

Answers

Answer:

No picture so I can’t answer the question

Step-by-step explanation:

There are 15 students on the chess team. Seven of the students are in the fourth grade.

Which shows the fraction of the team that is in the fourth grade?

A.

4

5

B.

7

15

O

C

8

15

OD. 15

7

Answers

Answer:

7/15 (B)

Step-by-step explanation:

7 fourth graders out of 15 total = 7/15

Everyday the Norton Family restaurant serves 5/6 of a bottle is soda to their customers for how many days will 2 1/2 bottles of soda last ?

Answers

2 1/2 = 2*2 + 1 = 5/2

5/2 divided by 5/6 equals
5/2 times 6/5

5/2 * 6/5
5*6 / 2*5
30 / 10
3 days

Check:
3 * 5/6
15/6
5/2 = 2 1/2 :)

I solved it myself and my result is (n+1)/n. Why is that 1/2 there? An explanation would be great if possible. Thanks!

Answers

Answer:

The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!

Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.

Hope it was clear explanation.

Find the exact value of sec795°

Answers

Answer:

I believe the answer would be [tex]\sqrt{6}+\sqrt{2}[/tex] or 3.8637

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer!

Answers

Answer:

I'm not going to lie I'm not 100% sure but I think it's c

Answer:

D

Step-by-step explanation:

4x=4+2y

3y=5+2x

What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?

Answers

Answer:

undefined

Step-by-step explanation:

What is the VALUE of the underlined digit? 4,289,302 7,390,276​

Answers

Answer:

8 is 10trillion and 7 is 1 million hope this helps!

Step-by-step explanation:

What type of transformation of △ABC results in △DEF ?​

Answers

Answer:

reflection

Step-by-step explanation:

Answer:

Reflection

Step-by-step explanation:

As you can see, its the same shape, and the same size...but it looked mirrored. ABC has been reflected over the y-axis to make DEF.

It's not rotation, because the shape has not been rotated, if so it would have been in a different position

It's not translation, because the shape didn't stay in the same format (facing one side).

So it must be reflection

Hope this helped!

Have a supercalifragilisticexpialidocious day!

A department store buys 300 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup. The percent markup is 1%. (Round to the nearest whole number as needed)​

Answers

Answer:

40%

Step-by-step explanation:

A department store buys 300 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup.

The formula for Percent Markup is given as:

Selling price - Cost price/Cost price × 100

Cost price = $3,600

Selling price = $20 × 300 shirts

= $6000

Percent Markup = $6000 - $3600/6000 × 100

= 2400/6000 × 100

= 40%

The percent Markup is 40%

Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is the probability that the die shows a 1

Answers

Answer:

the probability is 0.6

Step-by-step explanation:

The computation is shown below:

Let us assume the X would be the number appear on the top face

Now

= P(X = 1) ÷ P(X = 0)

= 0.3 ÷ 0.3 + 0.1 + 0.1

= 0.3 ÷ 0.5

= 0.6

hence, the probability is 0.6

Surface Area of 40,40,40

Answers

Answer:

64000

Step-by-step explanation:

40×40×40

Multiply 40 and 40 to get 1600.

1600×40

Multiply 1600 and 40 to get 64000.

64000

jessica earned 70% on an exam. if she earned 14 points, what was the total number of points possible on the exam?

Answers

20. We say 14/.70 to get 20.

Answer:

20

Step-by-step explanation:

you just divid the number of points earned (14), by the percent earned (70). This gives you the total becuase you would divid 14 by the total to get 70.

Determine the order pair and quadrant for each point:
A.
B.
C.

Answers

Answer:

A: (-4,1) QUAD 2

B: (-1, -3) QUAD 3

C: (2,5) QUAD 1

D: (5, -4) QUAD 4

Step-by-step explanation:

The length of the base of an isosceles triangle is x. The length of a leg is 4x - 2. The perimeter of the triangle is 95. Find x.

Answers

Answer:

x = 11

Step-by-step explanation:

sides of triangle measure: 'x', '4x-2' and '4x-2' since isosceles means both legs are equal

perimeter is the sum of all sides, so set up equation:

95 = 4x - 2 + 4x - 2 + x

95 = 8x - 4 + x

95 = 9x - 4

99 = 9x

x = 11

Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?

Answers

Answer:

P(15) = (200,000)(1.08)15 = 634,434

Step-by-step explanation:

If the population at the beginning of 2000 was 200,000

Then the growth equation is P = Po(1.08)(y)     where year year 2000 was year 1 or y = 1

At the end of 2015 or  2015-2000 = 15 years later, or at the end of the 15th year

If the population at the beginning of 2000 was 200,000

Then the growth equation is P = Po(1.08)(y) where year year 2000 was year 1 or y = 1

At the end of 2015 or 2015-2000 = 15 years later, or at the end of the 15th year:

Population P(15) = (200,000)(1.08)15 = 634,434 (

Write an equation of the parabola with focus (0, 10) and vertex at the origin

Answers

Answer:

f(x) = (1/10)x²

Step-by-step explanation:

This is the answer that  I think it is but I am not sure if it is right...

Hope this helps!

The function d = 16t2 models the distance d, in feet, that an object falls in t seconds. Find the inverse function and use the inverse function

o estimate the time it takes an object to fall 100 feet. (1 point)

Answers

Answer:

[tex]t = \frac{1}{4}\sqrt d[/tex]

Time to reach 100ft is 2.5 seconds

Step-by-step explanation:

Given

[tex]d = 16t^2[/tex]

Solving (a): Determine the inverse function

[tex]d = 16t^2[/tex]

Swap the positions of d and t

[tex]t = 16d^2[/tex]

Make d the subject

[tex]\frac{t}{16} = d^2[/tex]

Take positive square root of both sides

[tex]\sqrt{\frac{t}{16}} = d[/tex]

[tex]d = \sqrt{\frac{t}{16}}[/tex]

[tex]d = \frac{1}{4}\sqrt t[/tex]

Swap the positions of d and t

[tex]t = \frac{1}{4}\sqrt d[/tex] --- The inverse function

Solving (b): Find t when d =100

Substitute 100 for d in [tex]t = \frac{1}{4}\sqrt d[/tex]

[tex]t = \frac{1}{4}\sqrt {100[/tex]

[tex]t = \frac{1}{4}* 10[/tex]

[tex]t = \frac{1* 10}{4}[/tex]

[tex]t = \frac{10}{4}[/tex]

[tex]t = 2.5[/tex]

Please help on this question!

Answers

Answer:

d

Step-by-step explanation:

Need help with math points and brainlest

Answers

answer: 10 ft (now i’m just typing to make it 20 letters long lol)

Answer: 10 because if they have the same shape then it must be 10.

I'm not sure if they want the same area or the same length. But if you want the volume then it would be 2. Because 2 x 75 = 150 and 15 x 10 = 150. Wait for more responses if needed.

The legs of a right triangle measure 5 inches and 9 inches.

What is the measure of the smallest angle of the triangle?

Enter your answer, rounded to the nearest tenth of a degree, in the box.

Answers

Answer:

29.1

Step-by-step explanation:

Use logic.

Jk. Tan(x) = 5/9 so x = tan^-1(5/9)

Use a graphing calculator in degrees mode.

The measure of the smallest angle of the triangle would be equal to 29.1

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that the legs of a right triangle measure 5 inches and 9 inches.

We need to find the measure of the smallest angle of the triangle

Tan(x) = 5/9

Therefore, we have;

x = tan^-1(5/9)

x = 29.1

Learn more about trigonometric;

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Definition: The number to which a base is raised to is called the___ this tells you how many times to multiply the base together

Answers

Answer:

power or give me the answer choices

Step-by-step explanation:

180 miles in 4 hours at what rate how long will it take to drive 270 miles

Answers

Answer:

6

Step-by-step explanation:

180 / 4 = 45

45mi = 1hr

270 / 6 = 45

A field is a rectangle with a perimeter of 1240 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.
The width

Answers

Answer:  The length is 510 and the width is 110.

Step-by-step explanation:

To find the area of a rectangle, you will have to add the 2 times the length plus 2 times the width because  a rectangle have 4 sides. Two widths and two  lengths.

You can now use the formula  P= 2l + 2w  

were P is the perimeter , l is the length, and w is the width.

the length is 400 more than the width, so we can represent that by the equation,  l = w + 400  

And now we know that the width is w.

So now we will input the perimeter, length, and into the formula to solve for w.

1240 = 2(w + 400) + 2w

1240 = 2w + 800 + 2w

1240 = 4w + 800

-800            -800

   440 = 4w

    w = 110

L= 110 + 400

L = 510  

Check :

1240 = 2(510) + 2(110)

1240 = 1020 + 220

1240 = 1240

12. Ryan deposited $3,500 in a savings account with
an interest rate of 3% per year. How much simple
interest will he earn in 4 years?

Answers

The answer to this question is 420 dollars
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