To draw theta=-120° in the unit circle, we move clockwise 90°, then another 30°.
This means that we pass the fourth quadrant and stop in the third quadrant.
The reference angle of an angle theta in the third quadrant, is theta + 180°.
So the reference angle of -120° is -120°+180°=60°.
360° are 2π Radians
then 60° are 1/6 of 2π Radians = π/3 Radians
Answer: Reference angle is π/3 Radians
Sit squarely facing the edge of your desk, feet flat on the floor, back straight,
chin up, pencil held firmly but not too tight, approximately the lower half of the
forearm supported by resting on the desk. On the paper, write the words
" two tenths ".
Answer: No
Step-by-step explanation:
Area of a square= side ^ 2
Since a side has been given as 14, we square the side given which is:
Area of square= 14 × 14 = 196
Area of a circle = π r^2
Since radius is 8, are will be
= 3.14 × 8 × 8
= 3.14 × 64
= 200.96
From the answers provided, the area of the circle is more than the area of the square.
The square does not have a greater area than the circle.
Answer:
a) 32100 millimeters
c) 3,210 centimeters
d)3.21 decameters
Step-by-step explanation:
To find which measurements are equal 321 decimeters, we will follow the steps below:
<u>changing 321 decimeters to millimeters</u>
let x be 321 decimeters in millimeters
1 decimeter = 100 millimeters
321 decimeters = x
cross - multiply
x = 321× 100
x = 32100 millimeters
hence, 321 decimeters = 32100 millimeters
<u>converting 321 decimeters to centimeters</u>
let y be 321 decimeters in centimeters
1 decimeters = 10 centimeters
321 decimeters = y
cross-multiply
y = 321× 10
y = 3210 centimeters
Thus, 321 decimeters = 3210 centimeters
<u>converting decimeter to decameters</u>
let z represent 321 decimeters in decameters
1 decameter = 100 decimeter
z = 321 decimeter
cross-multiply
100 z = 321
divide both-side by 100
100z/100 = 321/100
z=3.21 decameters
therefore, 321 decimeters = 3.21 decameters
