Consider this solution; note, the answer is marked by green colour.
Answer:
r = 22 ft the sprinkler sends water until 22 feet away
Step-by-step explanation:
A circular pattern has an area of 1,519,76 ft²
And the areaof a circle is:
A(c) = π*r²
A(c) = 3,14 * r² ⇒ 1,519,76 = 3,14 * r²
r² = 1,519,76/3,14 ⇒ r² = 484
r = √484
r = 22 ft
Answer:
x = -1.75 , +/- 1.1892i.
Step-by-step explanation:
4x5 + 7x4 + 36x + 63) = (4x + 7)
4x^5 + 7x^4 + 32x + 56 = 0
x^4(4x + 7) + 8(4x + 7) = 0
(x^4 + 8) = 0 or 4x + 7 = 0
4x + 7 = 0
x = -1.75.
4x^4 = -8
x^4 = -2
x = +/- ⁴√-2
x = +/- 1.1892 i.
Step-by-step explanation:
Answer:
x = -0.6
y = 2.2
z = 2
Step-by-step explanation:
2x + y - 2z = -3
x + 3y - z = 4
3x + 4y - z = 5
Rewrite the system in matrix form and solve it by Gaussian Elimination (Gauss-Jordan elimination)
2 1 -2 -3
1 3 -1 4
3 4 -1 5
R1 / 2 → R1 (divide the 1 row by 2)
1 0.5 -1 -1.5
1 3 -1 4
3 4 -1 5
R2 - 1 R1 → R2 (multiply 1 row by 1 and subtract it from 2 row); R3 - 3 R1 → R3 (multiply 1 row by 3 and subtract it from 3 row)
1 0.5 -1 -1.5
0 2.5 0 5.5
0 2.5 2 9.5
R2 / 2.5 → R2 (divide the 2 row by 2.5)
1 0.5 -1 -1.5
0 1 0 2.2
0 2.5 2 9.5
R1 - 0.5 R2 → R1 (multiply 2 row by 0.5 and subtract it from 1 row); R3 - 2.5 R2 → R3 (multiply 2 row by 2.5 and subtract it from 3 row)
1 0 -1 -2.6
0 1 0 2.2
0 0 2 4
R3 / 2 → R3 (divide the 3 row by 2)
1 0 -1 -2.6
0 1 0 2.2
0 0 1 2
R1 + 1 R3 → R1 (multiply 3 row by 1 and add it to 1 row)
1 0 0 -0.6
0 1 0 2.2
0 0 1 2
x = -0.6
y = 2.2
z = 2
