Answer:
Step-by-step explanation:
The length of the polar coordinates ray is found using the Pythagorean Theorem: ray length = √( (-1)^2 + (-2)^2 ) = √( 1 + 4) = √5
Because both the x- and the y-coordinates here are negative, the ray is in Quadrant III. Measuring the angle counterclockwise from 0°, we get
Ф = 180° + arctan 2/1, or Ф = 180° + 63.43°, or 243.43°
The desired polar coordinates are (2√2, 243.43°)
Answer:
3
Step-by-step explanation:
11:00 pm - 6:00pm = 5 hour span
55-40=15 decreased each hour
5 divided by 15
0.3 = 3
3 x 5 = 15
For a line in the form:
In this case, for the line 2x + 10y = 20 with a=2 and b=10 the slope is:
Now, two lines are perpendiculars if the slopes satisfy the following equation:
So, for the line we want the slope is:
Finally, the line pass througth the point (2, 3) with slope m=5, so the equation is:
The equation of the line is y = 5x - 7
Answer: a) 0 and 0.01 b) 0.99 and 1 c) 0.3 d) 0.6
Step-by-step explanation:
Probability is the likelihood that an event will occur. Probability values always lies between 0 and 1 0<P<1
A sure event occurs when the probability is 1 or values pretty close to 1 while probability of an impossible event is 0 or values close to 0. Looking at the given probability values, we can conclude that!
a) 0 and 0.01 = The event is impossible, it would never occur.
b) 0.99 and 1 - The event is certain, it would always occur.
c) 0.3 - The event is highly unlikely, but it will occur once in a while.
d) 0.6 - The event will occur more often than not.
Answer: 20 eggs
Step-by-step explanation:
The rate is 5. 25/5=5.
4*5=20
Hope this helps!
