Answer:
314 square feet
Step-by-step explanation:
we know that
The area that will be covered by the spray of the quarter-circle sprinkler head, is equal to the area of a quarter circle with radius of 20 feet
so
The area of a quarter circle is

we have


substitute

Answer:
<u>36</u>
Step-by-step explanation:
You multiply 40% by 90. Or make 40% 0.4 and multiply that by 90.
Answer: x = 9, y = 5
Step-by-step explanation:
If all of the sides are equal, it is an equilateral triangle. Equilateral triangles are also equiangular. The angles of a triangle add up to 180 degrees, so each angle must equal 60 degrees.
set the equation equal to 60 to solve for x
7x - 3 = 60
add three to both sides
7x = 63
divide both sides by 7
x = 9
find y by setting the equation equal to 60
11y + 5 = 60
subtract 5 from each side
11y = 55
divide both sides by 11
y = 5
Answer:

Step-by-step explanation:
If AB = 5 , then AE = 5 [Radii of the same circle]
So,
AC = AE + EC
AC = 8+5
AC = 13 units
Now, Using Pythagorean theorem to find the missing side i.e. BD because tangent strikes the circle at 90 degrees making the triangle a right angled triangle

Where c = AC , a = BD and b = AB

169 = BD² + 25
Subtracting 25 to both sides
169 - 25 = BD²
BD² = 144
Taking square root on both sides
BD = 12 units