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
andriy [413]
3 years ago
15

The area of a rectangular fountain is x2 + 9x + 20 square feet. A 3-foot walkway is built around the fountain. Find the dimensio

ns of the outside border of the walkway. The dimensions of the outside border of the walkway are
Mathematics
1 answer:
Leto [7]3 years ago
8 0

Answer:

(x+11) by (x+10)

Step-by-step explanation:

We know that Area = Length x width

Given: Area = x²+9x+20

Lets sort this out first

Area = x²+5x + 4x + 20

Area = x(x+5) + 4(x+5)

Area = (x+5) (x+4)

Therefore, it is concluded that:

Length 'l' = (x+5) feet

Width 'w' = (x+4) feet

if a 3-foot walkway is built around the fountain, we'll add 3 feet on both sides

Therefore,

Outer Length = (x+5+3+3) = (x+11) feet

Outer Width = (x+4+3+3) = (x+10) feet

Answer:

The fountain is (x+5) by (x+4).  

dimensions of the outside border of the walkway are (x+11) by (x+10)

You might be interested in
Which value of x makes this equation true?
sergejj [24]

Answer:

x=-5

Step-by-step explanation:

opening the bracket on the LHS, we have

-8x-40= -3x+x-7-3

-8x-40= -2x-10

collecting like terms

-8x+2x= -10+40

-6x= 30

divide both sides by -6

x= -5

6 0
3 years ago
Dont put the file stuff like stop! Help me
grandymaker [24]
5/12lb of dog food in each container.

This seems like a division problem so you would take (5/4) and divide it by 3 to make 3 equal groups meaning 5/12lb would be in each container.

I hope this helps, good luck!
6 0
2 years ago
Angle A and angle B are complementary angles. If m∡a = 4x and m∡b = 3x +13, what is the measure of the smaller angle?
bagirrra123 [75]

Answer:

Step-by-step explanation:

Complementary angles mean two two angles sum with equal 90 degrees. Therefore you would need to create an equation to solve for the value of x.

4x+3x+13=90

-13 -13

7x=77

/7 /7

X=11

Now plug in the value of x.

A=4(11) B=3(11)+13

A=44. B=33+13

B=46

Angle a is the smaller angle and measures at 44°

5 0
2 years ago
What is the radius of a hemisphere with a volume of 19160 ft', to the nearest tenth<br> of a foot?
irina1246 [14]
I think the answer is 20.9
6 0
3 years ago
What is the x-coordinate of the soultion y=x+2 y=-x+6
Kay [80]
<span>x+2 = -x+6
</span>2x+2 = 6
2x = 4
x = 2
6 0
3 years ago
Read 2 more answers
Other questions:
  • the lengths of the sides of a 6-sided polygon are in arithmetic sequence. the length of the shortest side is 3 meters,if the len
    7·1 answer
  • 0.8÷30<br><img src="https://tex.z-dn.net/?f=0.8%20%20%5Cdiv%2030%20%3D%20" id="TexFormula1" title="0.8 \div 30 = " alt="0.8 \d
    10·1 answer
  • Solve 3x+4(x-8)-x=3/5(10x+15)
    15·2 answers
  • What is the equation of the line that passes through (4, -1) and (-2, 3)?
    13·1 answer
  • Solve the equation for x<br> -2x = -32
    11·1 answer
  • 6.50h+4.50c=306 in slope intercept school
    10·1 answer
  • The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter
    6·1 answer
  • Someone tell me how to do this
    9·1 answer
  • What would 24.8 with the 8 repeating as an improper fraction
    7·2 answers
  • 9a + 18c. What is the value of the expression when a = −5 and c = −1?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!