Answer:
their distance is increasing at the rate of 41.6 miles/hr
Step-by-step explanation:
Given the data in the question;
first we determine the distance travelled by the first boat in 10 min when the second boat was crossing its path;
⇒ ( 30/60 ) × 10 = 5 miles
so as illustrated in the diagram below;
y² = x² + ( x + 5 )²
2y
= 2x
+ 2(x+5)
y = ( 2x + 5 ) ]
= [( 2x + 5 )/y ] ------ let this be equation 1
Now, given that, = 30 miles/hr, when x = 10
so
y = √( 10² + 15² ) = √325
so from equation 1
= [( 2x + 5 )/y ]
we substitute
= [( 2(10) + 5 ) / √325 ]30
= [ 25 / √325 ] × 30
= 41.6 miles/hr
Therefore, their distance is increasing at the rate of 41.6 miles/hr
Answer:
55/72
Step-by-step explanation:
5/6 of 11/12
= 5/6 x 11/12
=55/72
Answer:
b. 6.25%
Step-by-step explanation:
In order to obtain the unemployment rate in Micronesia, you have to divide the amount unemployees that still in the labor force between the amount of people in the labor force.
The labor force is defined as the number of people employed plus the unemployed people who are seeking work.
The number of people employed is the people who work part time plus the people who are fully employed (the remainder of the 80,000 people). Therefore:
14,000 + (80,000 -16,000 - 4,000 - 14,000)
14,000+46,000=60,000
The number of unemployed people who are seeking work is:
4,000
The labor force is:
60,000 + 4,000 = 64,000
The unemployment rate is:
4,000/64,000 = 0.0625
Multiplying by 100 to obtain the percentage:
0.0625(100)=6.25%
To the nearest percentage point, what percentage of students who play a sport don’t play a musical instrument?
First, using the information given, fill out the chart with the rest of the data (in the image attached)
Then find the number of students who play a sport and don’t play a musical instrument, which in the chart is 11
Place 11 over the total: 
and convert to a percentage:
44%
