A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of the rectangle​

Answers

Answer 1

9514 1404 393

Answer:

  205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

  A = LW

  7585 = (6w-17)(w)

  6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

  [tex]x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}[/tex]

The width is 37 feet, so the length is ...

  6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.


Related Questions

if the length of segment A'B' is 12 units, what is the scale factor of the dilation?​

Answers

Answer:

if the length of segment A'B' is 12 units, what is the scale factor of the dilation?

Step-by-step explanation:

someone help me, is this correct ?

Answers

Answer:

no!!

Step-by-step explanation:

it's b!! simply solve for y by subtracting both sides by 3x and then dividing both sides by 2

Answer:

its b your answer choice is wrong

he point A has coordinates A(2, 4). What are the X-coordinates of A′ for the dilation D1.5(A)?

Answers

Answer:

(3,6)

Step-by-step explanation:

For dilation, you just multiply the coordinates by the scale factor (in this case 1.5) to get the answer! Hope that helps :)

Equations from Graphs
Which is the equation of the given line in point-
Please help me

Answers

Answer:

A. y = -x + 8

Step-by-step explanation:

y = mx + c

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex] = [tex]\frac{0 - 8}{8 - 0}[/tex] = -1

c = 8

=> The equation will be y = -1x + 8 or y = -x + 8.

Help what is the correct answer *answer and questions attached*

Answers

Answer:

B

Step-by-step explanation:

If ∠X and ∠Z are complementary, and the measure of ∠Z is 45°, what is the measure of ∠X?

Answers

Answer:

The measure of ∠X is 45°.

Step-by-step explanation:

Complementary angles are two angles that have a sum of 90°.

I subtracted 45 from 90 (90-45) and got 45°.

Which angle is supplementary to 15?

Answers

9514 1404 393

Answer:

  ∠14

Step-by-step explanation:

Angle 15 forms a linear pair with angles 14 and 16. Each of those is supplementary to angle 15. Only angle 14 is listed as a choice.

What is the area of this figure? 30yd 5yd 18yd 18yd 13yd 12yd

Answers

Answer:

50544

Step-by-step explanation:

18x18x13x12=50544

Isaiah ran 100 meters on a 200 meter track. He started running on the 19 meter mark. On what Mark did he finish his run

Answers

Answer:

119

Step-by-step explanation:

19+100=119

Depends on the amount of marks but if there are 200 then the answer would be 119

What’s the correct answer for this?

Answers

Answer:

6

Step-by-step explanation:

The numerator is the number of apples and the denominator the total number of fruit.

There are 6 apples, then numerator = 6

Answer:

if jasmine writes the fraction of fruit that are apples and does not reduce the fraction...

●6/10

An angle with measure seven pi over 4 radians is in standard position. In which quadrant does its terminal side lies

Answers

Answer:

Step-by-step explanation:

what is the diameter of a circle with a radius of 4.375"? 2.187" or 2.375" or 8.375" or 8.750"

Answers

DONT CLICK ON THE LINKS! It’s 8.750 BY THE WAY the radius is half the diameter so just add the radius by itself or multiply by 2

Hey circle is divided into 24 sectors are shown below the sectors were rearranged into the figure shown below by placing the sector side-by-side this figure can be used to derive the equation for the area of a circle which statement about the figure is true

Answers

Answer:

the answer is two

Step-by-step explanation:

The equation is

The figure is similar to a parallelogram , with a base length equivalent to the circumference of the circle and a height equivalent to the radius of the circle

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the radius of the circle be represented as r

Now , the equation will be

The circumference of the circle C = 2πr

And , the circle is divided into 24 sectors and it is placed side-by-side

The figure formed is in the shape of a parallelogram

The base length of the parallelogram = circumference of the circle

And ,

Height of the parallelogram = radius of the circle r

Hence , the base length is the circumference and height is the radius of the circle

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ2

Find the perimeter of this semi-circle with diameter, d = 52cm.

Answers

Answer:

Perimeter = 133.681 cm

or 52.63 inches.

Step-by-step explanation:

"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."

let's use,  πr + 2r

Diameter: 52

Radius: 26 (RAdius is half of the diameter)

πr + 2r (plug in)

pi x 26 + 2(26)

pi x 26 + 52

= 133.681 cm

or

= 52.63

what is the measurement?

Answers

this question involves trig

sinx=p/h -----> some people have  

cosx=b/h ----> curly brown hair  

tanx=p/b -----> through proper brushing

we have p and h in this question so we can use the first formula

[tex]sinx=\frac{23}{28} \\x=sinx^{-1} \frac{23}{28} \\x=55.2[/tex]

Answer:

55.2

Step-by-step explanation:

sinx= 23/28

multiple both sides by inverse sin

x= sin^-1(23/28)

x= 55.2

Identify the volume of a square pyramid with base edge length 18 cm and height 16

Answers

Answer:

1728

Step-by-step explanation:

Write out the first five terms of the sequence.

an = n - 5

Answers

Answer:

its A

Step-by-step explanation:

took the quiz


Out of 140 students, 92 are taking an English course, 74 are taking a history course and 41 are taking both. Find the number of these 140 students who are taking a history course but not an English course?

Answers

Answer:18

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

you have to subtract the number of people doing both from the number of people doing just the history.

pls help
round to the nearest tenth, if needed.

Answers

Answer:

[tex]\pi[/tex] or 3.1

Step-by-step explanation:

The total area of the circle is [tex]3^2\pi[/tex]. The central angle of the shaded region is 40 degrees so we have to multiply [tex]3^2\pi[/tex] by [tex]\frac{40}{360}[/tex] or [tex]\frac{1}{9}[/tex]. 3 squared is 9 so 9[tex]\pi[/tex] times [tex]\frac{1}{9}[/tex] is just equal to [tex]\pi[/tex]. [tex]\pi[/tex]=3.14159265... rounded to the nearest tenth is 3.1

Can someone help me solve this please!

Answers

Answer:

a)

Point A: Quadrant 1

Point B: Quadrant 3

b)

x intercept: -2, 0

y intercept: 0, 1

c)

slope: 1/2 or 0.5

Solve 7+X - 15 = -2 2/3

5 1/3

10 2/3

20 2/3

6 1/3

Answers

Answer:

solve 7+x-15=-2 2/3

Step-by-step explanation:

7+x-15=-2 2/3 -8+x=-8/3 x=-8/3+8 x=16/3 first question answer second question answer 5 1/3 5*3+1/3 15+1/3 16/3 3rd questiin answer 10 2/3 10*3+2/3 30+2/3 32/3 solve by this method another question

Solve the following inequality.
4x - 3(x + 2) - 5 < 0
A. x < -2
B. XX-2
C. x < 11
OD. X > 11

Answers

Answer:

The right answer is C

Step-by-step explanation:

4x-3x-6-5<0

x-11<0

x<11

which is greater 40 oz or 3 lb

Answers

Answer:

I think 3lb is greater

Step-by-step explanation:

plz help will give crown

Answers

Answer:

x=8

Step-by-step explanation:

-2(8) would be -16 so -18 is still greater

Answer:

B

Step-by-step explanation:

all the others will have a value of more than -18. Only B makes sense.

Hope this helps! Have a great day

A bus travels for 22 minutes from Greensburg to Pleasant Valley. Then it travels 16 minutes from Pleasant Valley to Red Mill. How many minutes does it travel?​

Answers

Answer:

22 + 16 = 38

Step-by-step explanation:

I hope you have a good day

PartA: Explain why x=6makes 4x-5< 19.

Answers

Answer:

It doesn't.

Step-by-step explanation:

If you plug in 6 in the x spots you will have:

4(6)-5 < 19

If you solve that, you will get:

19< 19

So considering that they are the same number, this doesn't make sense because it should be an equal sign.

Have a nice day!!! Please mark Brainliest!

what is 1/3 +4 x 3

If you answer correctly i will give 100 points and Brainiest :)

Answers

12 1/3 or 12.33.

EXPLANATION:
because of order of operations or PEMDAS, multiplication comes first.

4 x 3 = 12

so now we have 1/3 + 12.

So 12 1/3.

Which in decimal form is 12.33

During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
temperatures. However, high temperatures are possible for people who do not have the flu. It is estimated that
12% of those without the flu have high temperatures.
If a student has a high temperature, what is the probability that the student has the flu?

Answers

Answer:

0.8015 = 80.15% probability that the student has the flu

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has high temperature.

Event B: Has the flu

Probability of a student having high temperatures:

90% of 35%(have the flu)

12% of 100 - 35 = 65%(do not have the flu). So

[tex]P(A) = 0.9*0.35 + 0.12*0.65 = 0.393[/tex]

Probability of having high temperatures and the fly?

90% of 35%, so

[tex]P(A \cap B) = 0.9*0.35 = 0.315[/tex]

If a student has a high temperature, what is the probability that the student has the flu?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.315}{0.393} = 0.8015[/tex]

0.8015 = 80.15% probability that the student has the flu

HELPPP ITS DUE TODAY!!!


Given the function rule h(x)=6x-1, find the value of h(3)

Answers

Answer:

put x=3 in equation we get

18-1

17 is the answer

In a snail-racing contest, Noba’s snail crawled 1.677 m in 5 min.
About how far did the snail travel each minute?

Answers

Answer: 12 hours

Step-by-step explanation:

Let's set the speed as "s".

Remember that distance = speed * time

So, plugging the numbers given...

7 = s * 8.4

Divide both sides by 8.4

s = 5/6

Now, plug this into the distance = speed * time, with the distance being 10. Set the time as "t"

10 = 5/6 * t

Divide both sides by 5/6

12 = t

So, it would take 12 hours for the snail to crawl 10 miles.

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