Answer:
12.65
Step-by-step explanation:
The formula for Pythagorean Theorem is 'a' squared + 'b' squared = 'c' squared. So let's call the base of this triangle, which is 3, 'a' and the length, which is the hypotenuses, 'c'. Now we need to plug it in. So, we square 3 and square 13. It's now (9+b=169). Solve the equation and you get b^2=160. So now we solve for the square root. And the answer is 12.6491106407 which you can round to 12.65
Perimeter is 2L+2W so we can say 2L+2W=60
The width is 8 inches more than the length so W=L+8.
Substitute our expression for W into the equation so all the terms are the same
2L + 2(L+8)=60
2L+2L+16=60
4L+16=60
4L=44
Length=11 inches
Width= 11+8 = 19 inches
We can prove this answer is right by doing 11 + 11 + 19 + 19 which equals 60
Answer:
Set; subset.
Step-by-step explanation:
A group of objects or numbers is called a set while a part of a set is called a subset. The objects or numbers that make up a set are generally referred to as elements or members and are written inside a pair of curly braces {}.
A set can be made up of elements such as numbers, alphabets, people, cars etc.
<em>For instance, Set A = {2, 4, 6, 8, 10, 12} represents all the even number between 1 - 12.</em>
On the other hand, a subset is a part of a larger set.
<em>For instance, comedy movies, horror movies, romance movies, action movies are a subset of movies. </em>
The complex number is given as: 2-8i
So for conjugate, you just flip the sign of the imaginary part:
2+8i will be the answer
Answer:
The sprinkler can spread water 18 feet away.
Step-by-step explanation:
We are given the following in the question:
Area formed by watering pattern = 1,017.36 square feet
We have to find the how far the sprinkler spread the water.
The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.
Area of circle =

where r is the radius of the circle.
Putting values, we get,

Thus, the sprinkler can spread water 18 feet away.