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
Mazyrski [523]
3 years ago
8

Richard has two circular sprinklers to water his rectangular backyard as shown.

Mathematics
1 answer:
makvit [3.9K]3 years ago
8 0

Answer:

109.88 ft² (nearest hundredth)

Step-by-step explanation:

<u>Formulae</u>

  • Area of a rectangle = width × length
  • Area of a circle = πr²

To find the area of the lawn that is not watered, subtract the area of the 2 circles from the area of the rectangle.

From inspection of the diagram

  • width of rectangle = 2r
  • length of rectangle = 4r
  • area = 512 ft²

Substituting the values into the area of a rectangle formula, and solving for r:

⇒ 512 = 2r × 4r

⇒ 512 = 8r²

⇒ r² = 64

⇒ r = ±8

As distance is positive, r = 8 ft

Area of one circle = π8² = 64π  ft²

Therefore,

Area not watered = area of rectangle - 2 × area of circle

                             = 512 - 2(64π)

                             = 109.88 ft² (nearest hundredth)

You might be interested in
The sum of three consecutive odd numbers is -87. What are the numbers?
Katena32 [7]
The three odd consecutive numbers are 27,29,31
6 0
3 years ago
A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and e
Ksju [112]

Answer:

4/14 or 29%

Step-by-step explanation:

So p(B|A) basically means that we are finding the probability of b now that a has already happened.

In this scenario once a has happened, there are 3 blue balls, 7 yellow, and 4 white so the probability is 4/14 which is approximately 29%

5 0
3 years ago
Really really need this answer. Please help!
scZoUnD [109]
Use the cosine function.

cos x = 2/12
cos x = 0.167

use the inverse of cosine:

x = 80.405

The answer is C.

Hope this helps :)
4 0
4 years ago
HELP 25 POINTS BRAINLIEST EASY
nevsk [136]

Answer:  the third one

Step-by-step explanation:

5 0
3 years ago
Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
Degger [83]

Answer:

b.

Step-by-step explanation:

1. You have the following parent function given in the problem above:

f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)

2. If you take the parent function and make y=f(x+3), then you have:

(The function is shifted 3 units left on the x-axis).

3. Then you if you make y=f(x+3)-2, as following, you obtain:

 (The function is shifted 2 units down on the y-axis).

4. Therefore, that is how you obtain the final function.

The answer is the graph shown in .b

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is -15+6x+2x-11
    15·1 answer
  • Devya sold shirts to raise money for a school trip. The amount of money she received from her sales is proportional to the numbe
    10·1 answer
  • Find 230 percent of 46
    10·1 answer
  • What's the volume of cone
    7·2 answers
  • You select a card at random from the cards that make up the word replacement without replacing the card,you choose a second card
    5·1 answer
  • Rewrite as a simplified fraction.<br> 0.83 =?
    14·2 answers
  • who is good at geometry and can help me bring up my grade i have a 47 in that class because i don’t understand geometry and if i
    8·2 answers
  • Choose the fraction(s) equivalent to the given fraction.
    7·1 answer
  • A baseball stadium sells game tickets for $8 each and has a capacity of 200 people. The function M(x) = 8x represents the amount
    13·1 answer
  • A man is 8x years old now .how old he will be in 10 years time​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!