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
victus00 [196]
3 years ago
7

In the figure below, Ken's company has placed sprinkler heads at the center of the two small semicircles. The radius

Mathematics
1 answer:
Novay_Z [31]3 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

The sprinklers have a radius of 5 ft each. Since the larger semicircle (entire lawn) has a diameter that is formed from the 2 semicircles, therefore the radius of the larger semicircle is 10 ft.

Area that wont be watered can be gotten by subtracting the area of the two smaller circles from the area of larger semicircle.

Area that wont be watered = 1/2(π * 10²) - 2[1/2(π * 5²)] = 50π - 25π = 25π ft²

You might be interested in
Given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]
Jobisdone [24]

The value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

<h3>What is the value of f[-4] and g°f[-2]?</h3>

Given the function;

  • f(x) = \frac{3x-2}{x+1}
  • g(x)=x+5
  • f[ -4 ] = ?
  • g°f[ -2 ] = ?

For f[ -4 ], we substitute -4 for every variable x in the function.

f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}

For g°f[-2]

g°f[-2] is expressed as g(f(-2))

g(\frac{3x-2}{x+1}) =  (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) =  \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) =  13

Therefore, the value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

Learn more about composite functions here: brainly.com/question/20379727

#SPJ1

6 0
2 years ago
-15=2t-11 does any one know it please
Murljashka [212]

Add 11 to both sides:

-4=-2t

divide 2 by both sides

2=t

Hope it helps! Comment if you have any questions!

5 0
3 years ago
Read 2 more answers
What is the surface area of a sphere with radius 4?
mario62 [17]

Answer: 64 units

Step-by-step explanation:

Remember, the formula to find surface area given radius is 4\pi r^2. Let's add in the given information:

4pi4^2 =

4pi16

64pi!

Hope this helps, please consider making me Brainliest.

5 0
2 years ago
I bought 16 cupcakes and then last week i bought 9 keep the pattern going
lana [24]

Answer:

25

Step-by-step explanation:

4 0
3 years ago
Need help ASAP! Directions in picture ;)
Len [333]

Answer:

<h2>112°</h2>

Step-by-step explanation:

Angle 8 will also be 112° because both of them( Angle 2 and Angle 8) are exterior alternate angles and exterior alternate angles are always equal.

So Angle 8 = 112°

6 0
2 years ago
Other questions:
  • The radius of a circle is 6 meters. What is the area of a sector bounded by a 45° arc?
    11·1 answer
  • Giselle enjoys playing chess and Scrabble. She wants to play a total of at least 10 games (condition A), but she has only 6 hour
    11·1 answer
  • Please help ASAP!!!!
    8·1 answer
  • How do i find the side length of a triangle that is not right?
    5·1 answer
  • 8 2– 2 5 ) ÷ (24 ÷ 6) + 3 2
    5·1 answer
  • Whats the reciprocal of 5.87*10^4
    6·1 answer
  • What is the product (-6a^3b+2ab^2)(5a^2-2ab^2-b)
    6·2 answers
  • Aisha and jordan start by making a floor plan for their treehouWhich revision of these two sentences best shows that the coach b
    15·1 answer
  • This questions worth 25 points to whoever helps me with it!
    15·1 answer
  • Help plssss &lt;333 will mark brainliest if correct
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!