Question:
What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as the values of radius and central angle are not given.
However, I'll answer the question using the attached figure.
From the attached figure, the radius is 3 unit and the central angle is 120 degrees
The area of a sector is calculated as thus;
Where 
represents the central angle and r represents the radius
By substituting 
and r = 3
becomes
square units
Solving further to leave answer as a decimal; we have to substitute 3.14 for 
So, becomes
square units
Hence, the area of the sector in the attached figure is 
or 9.42 square units
Answer:
c
Step-by-step explanation:
Let f(x) = ax³ + 9x² + 4x – 10
g(x) = 0⇒x - 3 = 0
⇒ x = 0 + 3
⇒ x = 3
On dividing f(x) by x - 3, it leaves a remainder 5.
Now keeping, f(3) = 5
⇒a(3)³ + 9(3)² + 4(3) - 10 = 5
⇒ a × 27 + 9 × 9 + 4 × 3 - 10 = 5
⇒ 27a + 81 + 12 - 10 = 5
⇒ 81 + 12 - 10 - 5 = 27a
⇒ 81 + 12 - 15 = 27a
⇒ 93 - 15 = 27a
⇒ 78 = 27a
⇒ a = 27/78
⇒ a = 0.3461
To determine what the line looks like, simply change it to y = mx + b form. Then simply either make a table of values. And substitute any points into the equation and obtain points to plot on the graph. Or you can simply plot the graph by using the slope of the equation.
Y = 8 - 6x/2
Y = 4 - 3x
Y = -3x + 4.
This would be the rearranged equation.
So the problem is
and you need to find x.
You can find x by taking fourth root of 256. The easiest way is to use your calculator. On my scientific calculator, it is 2nd then the button ^ that is
![\sqrt[x]{}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bx%5D%7B%7D%20)
You get the answer of 4.
