Answer: -3π/2
Step-by-step explanation:
The unit circle is tricky, but here are some things to know:
- When measuring angles, you usually move in the counter-clockwise direction. If you are moving clockwise (like shown in your picture), the angle will be negative.
- The unit circle is typically measured in radians, not degrees
- To convert from radians to degrees, multiply by 180/π
- To convert from degrees to radians, multiply by π/180
- The whole unit circle measures 2π (360 degrees). This means that the positive x-axis can be referred to as 0 or 2π, the positive y-axis is referred to as π/2, the negative x-axis is referred to as π, and the negative y-axis is referred to as 3π/2.
-If the angle is negative, switch the signs of the axis above.
The information above is all you need to answer the above question, but if you want/need anything else on the unit circle, just let me know.
Answer:
<P = 26 degrees
<N = 130 degrees
Step-by-step explanation:
The sum of angle of a triangle is 180, hence
<M + <N + <P = 180
If the Measure of angle N is five times the Measure of angle P, then;
<N = 5<P
<M = 24 degrees
Substotute into the formula
24 + 5<P + <P = 180
24 + 6<P = 180
6<P = 180-24
6<P = 156
<P = 156/6
<P = 26 degrees
Since <N = 5<P
<N = 5(26)
<N = 130 degrees
Hence the measure of <P is 26 degrees and that of <N is 130 degrees
Answer:
The answer is "96.864 ml".
Step-by-step explanation:
In this question, the formula of .
( where X is the mean, t is the coefficient, and s is the mean difference error)
As a result, only 2.5% of containers might include less than 100 ml of volume, its trust coefficient could indeed be used in accordance with 95%, which is .
And it can take to have been the full value the standard infinite:
Consequently, if the standard error is , a similar amount should be used to fill
Bill wieghs 12o and gains 10 per month, his weight can be written as 120 +10m.
Phil's weight can be written as 150 + 4m.
To find the number of months for them to weigh the same, set the equations equal and solve for m.
120 + 10m = 150 +4m
Subtract 4m from each side:
120 + 6m = 150
Subtract 120 from each side:
6m = 30
Divide both sides by 6:
m = 30/6
m = 5
It will take 5 months.
13. Find the length of the rectangle by dividing the area by the width:
49 / 7 = 7 cm.
The perimeter is the sum of the 4 sides. Each side is 7cm.
4 sides x 7 cm = 28 cm
The perimeter is 28 cm.
14. All 4 sides of a square are the same.
Divide the perimeter by 4 to find the length of one side:
12 / 4 = 3 inches.
15. 1 yard = 3 feet.
Multiply the yards in a bundle to find total feet:
120 yards x 3 = 360 feet.
She can cut 360 sections.
16. multiply the number of peaches she can fit in a bucket by the number of buckets:
29 x 19 = 551 total peaches.