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
Effectus [21]
3 years ago
6

john is creating a rectangular garden in his backyard. the length of the garden is 16 feet. the perimeter of the garden must be

at least 70 feet and no more than 112 feet. use a compound inequality to find the range of values for the width w of the garden
Mathematics
2 answers:
Sergio [31]3 years ago
8 0

Answer:

We can write the range for w as : 19\leq w\leq 40

Step-by-step explanation:

The perimeter of rectangle is given as :

P=2(l+w)  or P=2l+2w

Where l = length and w = width

Given is : the length of the garden is 16 feet

Also given is that the perimeter of the garden must be at least 70 feet and no more than 112 feet.

So, this can be shown as :

70\leq P\leq 112

=> 70\leq (2l+2w)\leq 112

Putting l = 16

=> 70\leq (2(16)+2w)\leq 112

=> 70\leq (32+2w)\leq 112

=> 70\leq (32+2w) \leq 112

=> 70-32 \leq 2w and 2w \leq 112-32

=> 38 \leq 2w and 2w \leq 80

=> 19 \leq w and w \leq 40

So, we can write the range for w as : 19\leq w\leq 40

natka813 [3]3 years ago
5 0

Answer:


Step-by-step explanation:

Let length = x

Let width = (1/2)x+2

 

(2*length)+(2*width) = Perimeter

 

2x+2[(1/2)x+2] = 40

2x+x+4 = 40

3x+4 = 40

3x = 36

x = 12

 

Substitute this value to find the length and width.

 

length = 12 feet

width = (12/2)+2 = 8 feet

 

Lets perform a check

 

12+12+8+8 = 40

24+16 = 40

40 = 40

You might be interested in
Since the expression (x-4)^2+(y+1)^2 evaluated at (3,6) is
stiks02 [169]

\bf (x-4)^2+(y+1)^2\qquad (3,6)~~ \begin{cases} x = 3\\ y = 6 \end{cases}\implies (3-4)^2+(6+1)^2 \\\\\\ (-1)^2+7^2\implies 1+49\implies 50

5 0
3 years ago
A water sprinkler has a range of 5 meters as shown. The jet of water from the sprinkler sweeps out at an angle of 85° as the noz
telo118 [61]
I found the image that accompanied this problem.
We need to solve for the area of the sector.

A = n/360 * π * r²
A = 85/360 * 3.14 * 5²
A = 0.2361 * 3.14 * 25
A = 18.5347 

Answer is C. 18.5 square meters.
6 0
3 years ago
Read 2 more answers
Someone help me on this question..
inna [77]

Answer:

CD= 9

Step-by-step explanation:

AD and CD are the same length. The length of AD is 9. So the length of CD will also be 9. I hope that helps.

4 0
2 years ago
6/9 is a rational number. Select all the rational numbers that are equivalent to .
Marianna [84]

Option b) and c) is correct, i.e. 2/3 and 0.66(line over 66)7

6/9 is a rational number.
similar ration number can be given as -

<h3>What is rational number?</h3>

Rational numbers are the numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.

From the option, by above definition 2/3, 0.66(line over 66)7 seems to be an equivalent rational numbers because
6/9=2/3= 0.66(line over 66)7.

Thus, Rational numbers 2/3, 0.66(line over 66)7 are equivalent to 6/9.

Learn more about Rational numbers here:
brainly.com/question/17450097

#SPJ1

5 0
2 years ago
How to find the volume and total surface area for a triangular prism​
Neko [114]

Answer:

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What is the value of w?
    14·1 answer
  • Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed
    13·2 answers
  • What is the greatest common factor of 39 and 6
    8·2 answers
  • HELP MEEE!!!!!!!!!!!!!
    12·2 answers
  • Write 0.0166 correct to two significant figures.
    5·1 answer
  • What's the simplified form of this expression? 3-[-2/3 x (7 +2) =11]
    15·1 answer
  • Given that f(x)=(k x)/(2x 1)and that f(-3)=2, find the value of k
    6·1 answer
  • Hiii please help! i’ll give brainliest if you give a correct answer tysm!
    5·1 answer
  • Marty collects colorful paper clips. Each week he is sure to add exactly five new paper clips to his collection. Make a table re
    14·1 answer
  • Pls help!!!!! due right now:(
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!