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barxatty [35]
3 years ago
6

Rectangular garden that is 10 feet longer than it is wide. A sidewalk that is 3 feet in width surrounds the garden. The total ar

ea of the sidewalk is 396 square feet. What are the dimensions of the garden?
Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0

Answer:

  • 35 feet long
  • 25 feet wide

Step-by-step explanation:

Let w represent the width of the garden. Then the width of the garden and walk together will be w+6. The length of the garden is described as w+10, so the length with the walk is w+16.

The difference in areas with and without the walk is 396 square feet:

  (w+6)(w+16) -(w)(w+10) = 396

  w² +22w +96 -(w² +10w) = 396 . . . . expand products

  12w = 300 . . . . . . collect terms, subtract 96

  w = 25 . . . . . . . . . divide by 12

The dimensions of the garden are 25 feet wide by 35 feet long.

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AleksAgata [21]
The probability any one system works is 0.99
So the probability of any one system failing is 1-0.99 = 0.01, so basically a 1% chance of failure for any one system

Multiply out the value 0.01 with itself four times
0.01*0.01*0.01*0.01 = 0.000 000 01
I'm using spaces to make the number more readable
So the probability of all four systems failing is 0.00000001
Subtract this value from 1 to get
1 - 0.00000001 = 0.99999999

The answer is 0.99999999 which is what we'd expect. The probability of at least one of the systems working is very very close to 1 (aka 100%)
7 0
2 years ago
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
2 years ago
A rectangular prism has a length of 1 1/2 meters, a width of 3 meters, and a height of 5 1/2 meters.
denpristay [2]

Answer:

13m

Step-by-step explanation:

because i use calculator soup

4 0
2 years ago
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Find the product.<br> 2.05x0.47 =
pshichka [43]

Answer:

0.9625

Step-by-step explanation:

6 0
3 years ago
PLZ HELP ITS DUR RIGHT NOW AND PLZ ANSWER TRUTHFULLY
yuradex [85]

Answer:

x=141

Step-by-step explanation:

(n-2)•180 = Sum of all the interior angles

n = # of sides

(7-2)•180

5•180

900= Sum of all the interior angles

Add all the angles and equal them to 900

125+122+131+x+7+x+107+x-15=900

Add all the numbers up first on the left side

477+3x=900

3x=423

x=141

5 0
2 years ago
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