1. You have that the circle that defines the part of the planter wall which gets watered by the sprinkler is: (x−10)²+(y+12)²<span>=36.
2. The standard form for the equation of a circle is:
(x-h)</span>²+(y-k)²=r²
(h,k) is the center point.
r is the radius.
3. Keeping this on mind, you can find the value of the radius, as below:
r²=36
r=√36
r=6 m
4. Then, the diameter of the circle is:
D=2r
D=2(6m)
D=12 m
<span>
What is the diameter, in meters, of the circular area that gets watered by the sprinkler?</span>
The answer is: 12 m
Answer:
3/4 or 0.75
Step-by-step explanation:
Answer:he needs no more cups of water
Step-by-step explanation:
Since you are working with exponents and roots you would add the exponents together. The ninth root of x is equal to x^(1/9) and since you are using it four times your answer would be x^(4/9).
While a triangle's area is often given as 1/2 times base times height, that requires a right triangle. The one in the picture is not a right triangle, so the height can't be found directly.
Fortunately, Heron's Formula works well here.
A = \sqrt{s(s-a)(s-b)(s-c)},
where s is the semiperimeter of the triangle; that is,
{\displaystyle s={\frac {a+b+c}{2}}.} s=\frac{a+b+c}{2}.[2]
The perimeter of the triangle is 6 + 5 + 7 = 18, so its semiperimeter is 9 (half of it).
Then, by Heron's Formula,
A = √(9)(9-5)(9-6)(9-7)
A = √(9)(4)(3)(2)
A = √216
A = √36 * √6 by breaking a root into a product of factors
A = 6 √6
As a decimal, 6√6 is, to one place, 14.7
So the area is 14.7 square kilometers and we should select choice A.
