Answer: 294.4 m²
<u>Step-by-step explanation:</u>
Separate the shaded region into two parts:
- The section containing the central angle of 230° (360° - 130°)
- The triangle with sides 11.1, 11.1 & 20.12 (use Law of Cosines)
Area of shaded region = Area of (1) + Area of (2)
= 247.3 + 47.1
= 294.4
Answer:
70 degrees
Step-by-step explanation:
Find the diagram attached
The sum of the angles is supplementary that is
45 + 2x- 5 = 180
2x + 40 = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
Hence the value of x is 70 degrees
Linear, decrease by 2 for every decrease of x.
Answer:
k = 4
Step-by-step explanation:
if f(x) is divided by (x - h) then f(h) is the remainder
f(x) = 2x³ - 3x² + kx - 1
divided by (x - 1) , so h = 1 , then
2(1)³ - 3(1)² + k(1) - 1 = 2
2 - 3 + k - 1 = 2
- 2 + k = 2 ( add 2 to both sides )
k = 4
Find the vertex: -4x^2 + 16x - 7
Vertex = ( x, f(x)).
x = -b/2a
x = -16/2(-4)
x = -16/-8
x = 2
f(x) = -4x^2 + 16x - 7
Let x = 2
f(2) = -4(2)^2 + 16(2) - 7
f(2) = -4(4) + 32 - 7
f(2) = -16 + 32 - 7
f(2) = 16 - 7
f(2) = 9
Vertex = (2, 9)
