Answer:
1/2 ornament in an hour
Step-by-step explanation:
Given


Required
Determine the ornaments per hour
This question implies that we calculate the unit rate.

Substitute values for Time and number of ornaments


<em>This implies that Constance can decorate 1/2 ornaments in an hour</em>
It would take 15 weeks and they would meet at 178lbs.
<h2>
Hello!</h2>
The answer is: 33.33%
<h2>Why?</h2>
Since we have the average number of accidents that occurs in 1 month, and it's equal to 3, we can calculate the probability of 1 accident occurs by dividing it into the average number of accidents, using the following formula:

Where,
Favorable outcomes are the occurrence of the event, for this case, it's equal to 1.
Outcomes are the possible occurrence of the event, for this case, it's equal to 3.
So, by substituting we have:


So, the probability will be equal to 33.33%
Have a nice day!
Answer:
1467
Step-by-step explanation:
i know this because taking a negative number and a positive is like adding and then you subtract 144 and you get 1467
Answer:
The rate of change of the tracking angle is 0.05599 rad/sec
Step-by-step explanation:
Here the ship is traveling at 15 mi/hr north east and
Port to Radar station = 2 miles
Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles
Therefore the ship, port and radar makes a triangle with sides
2, 7.5 and x
The value of x is gotten from cosine rule as follows
x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04
x = 6.25 miles
By sine rule we have

Therefore,

α = Angle between radar and ship α
∴ α = 58.052
Where we put
to get
and differentiate to get
= 3.208 degrees/second = 0.05599 rad/sec.