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
8_murik_8 [283]
2 years ago
8

A square lawn has area 338 ft^2. A sprinkler placed at the center of the lawn sprays water in a circular pattern that just cover

s the lawn. What is the radius of the​ circle?
The radius of the circle is __ ft.
Mathematics
1 answer:
Svetach [21]2 years ago
3 0
The area of a square is the length of its side, squared. If a square lawn has area 338, then its side is sqrt(338) = 13sqrt2.

If the sprinkler covers all the way up to the corner of the lawn, we must use the Pythagorean theorem to calculate its radius. If the side of the square is 13sqrt2, then the diagonal of the entire square would be sqrt2*(side length) = sqrt2*13sqrt2 = 2*13 = 26 ft. Then the distance from the center to the corner would be half this diagonal, or 13 ft.

So the radius of the circle is 13 ft.
You might be interested in
Write the equation of the line thay passes through the point (2,-1) and has a slope of -3​
disa [49]

Answer:

Y = -3x - 1

Step-by-step explanation:

Y= mx + b

M is the slope

Y is the y intercept

3 0
3 years ago
Find the side length of a cube with a volume of 166 m
marin [14]
The answer is 5.5 m.


Cube
Volume = length x width x height

Since the length, width and the height are the same in cube, the formula can be:

Volume = length^3


Let x metres be the side length of the cube.

166 = x^3

x = ∛166

x = 5.495864.....

x = 5.5 (nearest tenth)
8 0
2 years ago
Simplify. √-121+ √-25
astra-53 [7]

Answer:

6<em>i</em>

Step-by-step explanation:

sqrt(-121) - sqrt(-25)

11<em>i</em> - 5<em>i</em>

<u>6</u><u><em>i</em></u>

8 0
3 years ago
The distance on a bike path between Westfield and Southborough is 46 mi. Tracey leaves Westfield heading to Southborough cycling
ipn [44]

Answer: 2 hr.

Explanation: Think back to rate of change. <em>d</em> = <em>rt</em>, <em>r</em> = <em>d/t</em>, <em>t</em> = <em>d/r</em>. In this case, we will be using <em>d</em> = <em>rt</em>. Mph would be <em>r</em>, rate, so you would categorize 15 mph and 8 mph under rate. <em>t</em> should represent the time each cyclist traveled. Tracey's and Emma's distance, <em>d</em>, would be the same as their mph, hence Tracey's being 15<em>t</em> and Emma's would be 8<em>t</em>. When you add Tracey's distance plus Emma's distance, you end up with 46 mi. Now, you need to combine like terms, which should look like 15<em>t</em> + 8<em>t </em> = 46. Add 15 and 8 to get 23, so it should be 23<em>t</em> = 46 now. Then, divide both sides of the equation by 23 and now you should have your answer, <em>t</em> = 2 hr.

8 0
3 years ago
Read 2 more answers
Which term below is a "like term" to 2xy2?<br><br> a, 3xy2<br> b, -x2y<br> c, -5<br> d, 4xy
BigorU [14]

Answer:

The answer is

A 3xy^2

Step-by-step explanation:

Im assuming that in the question it is 2xy^2 and that answer choice A is 3xy^2

8 0
3 years ago
Read 2 more answers
Other questions:
  • Rainfall decreased by 0.166. this year. Express this decimal as a percent?
    10·1 answer
  • Find the zeros of the function. Write the smaller solution first, and the larger solution second. f(x)=(x+8)^2−1
    14·1 answer
  • What does this equal? 4x+5=12-2x
    15·2 answers
  • Using the grouping method to factor the polynomial below completely. x^3+2x^2+4x+8
    6·1 answer
  • A school has 20% of girls and 160 boys, how many kids are in the school?
    5·1 answer
  • The cube of twice a number.
    15·1 answer
  • Help with math please
    12·2 answers
  • WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!<br> WHAT IS THE AMPLITUDE OF THIS FUNCTION
    14·1 answer
  • Plz solve fast!<br> what is the answer of this quation.
    9·1 answer
  • EB bisects ∠RED. Find the measure of ∠BED if ∠REB = 5x – 3 and ∠RED = 8x + 16
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!