1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
enyata [817]
4 years ago
15

A college parking lot is 140 ft long and 90 ft wide. The college wants to increase the area of the lot by 29% by adding strips o

f equal width to one end and one side. (So, the new shape will be a larger rectangle.) Find the width of one such strip. Round your answer to the nearest integer.
Mathematics
1 answer:
Novay_Z [31]4 years ago
5 0
The initial dimenssions of the park lot are:

length: 140 ft
width: 90 ft

initial area: 140 * 90 = 12,600 ft^2

Area increased 29% = 12,600 * 1.29 = 16,254 ft^2

width of the strips: x

New length: 140 + x

New width: 90 + x

New area: (140+x)(90+x) = 16,254

Solution of the equation:

12600 + 230x + x^2 = 16254

=> x^2 + 230x - 3654 = 0

Use the quadratic formula.

x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =

x = 14.92

The other solution is negative so it is discarded.

Answer: 15 ft


 
You might be interested in
What the answer pls…
Valentin [98]
The slope is a positive and constant increase of 1 over 2 and the y - intercept is located at 8 due to the existing amount of snow on the ground. hope this helped you might want to word it a little differently.
3 0
3 years ago
0.580 repeating as a fraction
ElenaW [278]

Answer:

Write out your decimal as the numerator of a fraction:

0.50 /1

Multiply to remove the 2 decimal places:

0.50 /1 ×  100 /100=  50 /100

Find the Greatest Common Factor of 50 and 100:

GCF is 50

Divide both numerator and denominator by 50:

50 ÷ 50

100 ÷ 50 =  1 /2

therefore your answer is 1/2

Hope this helps! (づ ̄3 ̄)づ╭❤~

7 0
3 years ago
Find the surface area of this prism please (no links please)
horsena [70]

Answer:

192 ft^2

Step-by-step explanation:

to find the surface area of a shape, you must find the area of each side and add them together. the base of this shape is a rectangle with a length of 11ft and a height of 3ft; to calculate the area of a rectangle, you multiply the length by the height. 3*11 is 33, so the base of this prism has an area of 33ft^2. since this is a prism, we know that the side parallel to the base are the same shape, so they both have an area of 33ft^2. 33*2= 66. the two other large sides have a height of 4.5 and a length of 11; 4.5*11 is 49.5, there are two shapes with these dimensions, so 49.5*2=99. finally, the two shapes on either end of the prism have a height of 4.5 and a length of 3. 4.5*3= an area of 13.5, two of them, so 13.5*2=27. now you just add all of these numbers together: 66+99+27=192.

4 0
3 years ago
Anna is planning a big birthday bash for her sixteenth birthday party and wants to invite as many people as possible but she has
Hitman42 [59]
P=(500-100)÷6.50
p=400÷6.50
p=6.15
7 0
4 years ago
Read 2 more answers
Which of the following graphs is a polynomial function with x-intercepts of (-2, 0), (0, 0), and (3, 0)?
Sergio [31]

Answer:

The intercepts of the third degree polynomial corresponds to the zeros of the equation

y = d*(x-a)*(x-b)(x-c)

Where a, b and c are the roots of the polynomial and d an adjustment coefficient.

y = d*(x+2)*(x)*(x-3)

Lets assume d = 1, and we get

y = (x+2)*(x)*(x-3) = x^3 - x^2 - 6x

We graph the equation in the attached file.

8 0
3 years ago
Other questions:
  • The office manager of First Tech Support borrowed $25,000 to purchase new computers for employees. The bank charges 6 percent in
    13·1 answer
  • Line D passes through the points (1, 1) and (5, 6). What is the slope of a line perpendicular to Line D?
    5·1 answer
  • This chart shows the cost per pound of different fruits.
    10·2 answers
  • A cab company charges $2 per cab ride, plus an additional $2 per mile driven. How long is a cab ride that costs $100.
    13·2 answers
  • I mark brainliest!
    5·1 answer
  • ( 20 points + brainliest for the correct answer!!!) <br><br> ASA AAS CONGRUENCE
    5·1 answer
  • What is the function of f (x)
    9·1 answer
  • A line passes through the point (-3,6) and is parallel to the line with the equation y=
    15·1 answer
  • Please help I will you brainliest.
    14·2 answers
  • Please help will give brianliest
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!