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
Andre45 [30]
3 years ago
10

Andrew is creating a rectangular dog run in his back yard. The length of the dog run is 20 feet. The perimeter of the dog run mu

st be at least 48 feet and no more than 80 feet. Use a compound inequality to find the range of values for the width of the dog run.
Mathematics
1 answer:
worty [1.4K]3 years ago
5 0

Answer:

Step-by-step explanation:

Perimiter = distance around. In this case the sum of the lengths and breadths of the dog run.

let a = length and b = breadth

2a + 2b ≥ 48

2a + 2b ≤ 80

since a = 20, we substitute for a in both equations

2 (20) + 2b ≥ 48

40 + 2b ≥ 48

2b ≥ 48 - 40

2b ≥ 8

b ≥ 4

In the second equation, we have;

2(20) + 2b ≤ 80

40 +2b ≤ 80

2b ≤ 80 - 40

2b ≤ 40

b ≤ 20

So the width must be between 4ft and 20ft for the dog run to be within the requisite criteria

You might be interested in
In algebra, we transfer these same skills to expressions involving variables. what elementary skills have you used so far in thi
kirza4 [7]
Input a picture possibly? then i’ll be able to answer…
3 0
2 years ago
What does it mean when someone asks you to diagram a statement in math?
kipiarov [429]

Answer:

A math diagram is any diagram that conveys mathematical concepts. This includes basic charts and graphs as well as sophisticated logic and geometrical diagrams. ... Mathematical diagrams are often created to illustrate concepts in textbooks or for presentation posters used at conferences.

Step-by-step explanation:

7 0
3 years ago
the diagram shows the dimencions. 40yd 20yd 5yd 10yd 30yd. of a new parking lot. what is the area of the parking lot
Furkat [3]
1'200'000 yards because all you have to do is multiply the numbers.
3 0
3 years ago
What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.
Maksim231197 [3]

Answer: ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE  are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS.

Step-by-step explanation:

Given: ΔXYZ and ΔEFG such that ∠X=∠F

To prove they are congruent by using ASA or AAS conruency criteria

we need only one angle and side.

1. ∠Z ≅ ∠G(angle) and XZ ≅ FG(side)

so we can apply ASA  such that ΔXYZ ≅ ΔFEG.

2. ∠Z ≅ ∠G (angle)and ∠Y ≅ ∠E (angle), we need one side which is not present here.∴we can not apply ASA  such that ΔXYZ ≅ ΔFEG.

3. XZ ≅ FG (side) and ZY ≅ GE (side), we need one angle which is not present here.∴we can not apply ASA  such that ΔXYZ ≅ ΔFEG.

4. XY ≅ EF(side) and ZY ≅ FG(side), not possible.

5. ∠Z ≅ ∠G(angle) and XY ≅ FE(side),so we can apply ASA  such that

ΔXYZ ≅ ΔFEG.

4 0
3 years ago
Read 2 more answers
11. Graph the function. Label the vertex and axis of symmetry. State the domain
ad-work [718]

Answer:

x2 is the answer

Step-by-step explanation:

i found out by seeing those numbers in the numerial order.

4 0
3 years ago
Other questions:
  • Trump or Joe Biden?​
    15·2 answers
  • A classic rock radio station claims to play an average of 50 minutes of music every hour. However, it seems that every time you
    8·1 answer
  • vani is building a rectangular play area. The length of the play area is 7.5 meters. The width of the play area is 5.3 meters. I
    7·1 answer
  • What is 692,040 rounded to nearest hundred
    8·1 answer
  • Solve tan X = 2cot X
    6·1 answer
  • Circle O has a circumference of 367 cm
    10·2 answers
  • Write an equation of the line that passes through (2,3) and is perpendicular to the line shown
    11·2 answers
  • Helppppppp!! Asappp!!!
    9·1 answer
  • What are the values of a and b?
    5·1 answer
  • A baby monitor picks up signals within a 50 meter radius. What area of coverage does the baby monitor provide?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!