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
Vlad1618 [11]
3 years ago
13

A rectangular garden must have a perimeter of 155 feet and an area of at least 1400 square feet. Describe the possible lengths o

f the garden. Round your answers to the nearest foot. The approximate length of the garden is at least feet and at most feet.
Mathematics
1 answer:
snow_lady [41]3 years ago
6 0

Answer:

Step-by-step explanation:

Perimeter of a garden =  2(L+W)

Area of the gerden = LW

L is the length

W is the width

Given

Perimeter = 155ft

Area = 1400ft²

Substitute

1400 = LW

155 = 2L+2W

from 1;

W = 1400/L

Substitute into 2;

155 = 2L + 2(1400/L)

155 = 2L + 2800/L

155L = 2L² + 2800

2L²-155L + 2800 = 0

Factorize

L = 155±√155²-4(2)(2800)/4

L = 155±√24025-22400/4

L = 155±√1625/4

L = L = 155±40.31/4

L = 194.31/4

L = 48.82 feet and;

L = 155-40.31/4

L = 28.67ft

Hence the approximate length of the garden is at least 28.67 feet and at most 48.82 feet.

You might be interested in
A cable installer charges $42.50 per hour plus a $45.00 service charge your father firms hires him to hook up his company find t
Fiesta28 [93]
Y = 42.5x + 45.....for 5 hrs.....x = 5
y = 42.5(5) + 45
y = 212.50 + 45
y = 257.50 <===
5 0
3 years ago
1. In school lottery to win a price for "Free Domino's Pizza" it is required to select 5 numbers (in any order) out of 40 number
barxatty [35]

Answer:

1/8 ;

12 / 51

Step-by-step explanation:

To select any 5 numbers out of 40

Number of selection required / total numbers

Probability of winning = 5 /40 = 1/8

Total number of socks = 18

White, W = 8

Black, B = 6

Blue, C = 4

probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

P(B) * [(P(C) + P(W)]

Probability = required outcome / Total possible outcomes

P(B) = 6 / 18 = 1/3

Without replacement :

P(W or C) = 8/17 + 4/17 = 12/17

Hence,

1/3 * 12/17

= 12 / 51

8 0
3 years ago
A box is shaped like a rectangular prism. The length is 6.5 inches, the width is 1.25 inches, and the height is 7 inches.What is
Fantom [35]
To get you answer multiply the length and width twice. Then the length and height twice. Then the width and height twice. And add it all up.
7* 1.25= 8.75
7* 1.25= 8.75
7*6.5= 45.5
7*6.5= 45.5
6.5*1.25=8.125
6.5*1.25=8.125

7 0
3 years ago
PLZ ANSWER QUICK!!!
alexira [117]
Answer; c^2 = a^2 + b^2

c = 17 inches

a = 8 inches

b^2 = c^2 – a^2

b^2 = 17^2 – 8^2

b^2 = 289 – 64

b^2 = 225

b = square root of 225

b = 15 inches ≈ c.

5 0
4 years ago
5x-2+3x=17+12x-23<br> please show all steps
vlabodo [156]
5x-2+3x=17+12x-23 combine like terms 
8x-2=12x-6
-8x    -8x
-2=4x-6
+6     +6
4=4x divide each side by 4 
x=1 
5 0
3 years ago
Other questions:
  • Given a line with a slope of 1/7, what is the slope of any line that lies perpendicular to it?
    6·1 answer
  • Elmer took out an 18-month loan for $1400 at an appliance store to be paid
    14·2 answers
  • 7. The pair of polygons is similar. Find the value of x.
    14·1 answer
  • The task:<br>Find the radius or diameter of each circle with the given dimensions <br>2. d=4 ft​
    7·1 answer
  • Solve for the value of s
    5·1 answer
  • -6 + (-2) + 5= ? <br><br> Help would really be appreciated!! :)
    12·2 answers
  • The graph of a function is a line that passes through the coordinates
    5·1 answer
  • PLEASE HELP ANSWER THESE
    13·1 answer
  • A small class has 10 students, 3 are girls and 7 are boys. The teacher is going to choose two students at random. What is the pr
    11·1 answer
  • SOMEONE HELP ME BEFORE I PASS OUT<br><br> 1. |X|≤8<br><br> 2. |X|≤27
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!