Answer:
100.48 units³
Step-by-step explanation:
Volume of Cylinder: V = πr²h
- volume = pi × radius² × height
V = 3.14 × 2² × 8
V = 100.48 units³
Quick answer Sin(570) = - 1/2
Comment
570 as an angle contains 1 complete revolution of the terminal arm. The terminal arm begins at the origin and the other (in this case swings around until it records 570° turning around the x axis in an anticlockwise direction.
Anticlockwise means going from 12 o'clock to 9 o'clock to 6 o'clock then 3 o'clock and back to 12 o'clock.
What is 570° (∅) degrees equivalent to?
We keep on subtracting 360 until we get a number between 0 and 360 inclusive.
Written this way 0 ≤∅≤360
570 - 360 = 210°
So we need to find the equivalent of 210°
Method
210° = 180° + 30°
This means that ∅ is 30° below the x axis in the 3rd quadrant.
Sin(30) = 1/2
In the third quadrant, the sine is minus. so
sin(210°) = - 1/2 <<<<<<< Answer
The question is incorrect
the correct question is
A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft,and the distance around should be no more than 380 ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutionslet
x---------------> t<span>he length of the garden
</span>y---------------> the wide of the garden
we know that
x>=110
2x+2y <=380---------------> x+y <= 190
Part A) <span>Write a system of inequality that model the possible dimensions of he garden
</span>
the answer part A) is
x>=110
x+y <= 190
Part B) <span>Graph the system to show all possible solutions
using a graph tool
see the attached figure
the solution is the triangle show in the figure
</span><span>the possible solutions of y (wide) would be between 0 and 80 ft
</span>the possible solutions of x (length) would be between 110 ft and 190 ft