Answer:
Step-by-step explanation:
Let the base camp is point A and boats' locations after two hours are points B and C.
By connecting the three points together we get a triangle ABC with sides:
- AB = 50*2 = 100 km
- AC = 70*2 = 140 km
The angle between AB and AC is:
- 60 + 50 = 110 degrees (opposite directions from south)
We are looking for the distance BC, which can be found by using the law of cosines:
- BC² = AB² + AC² - 2AB*AC*cos ∠BAC
- BC² = 100² + 140² - 2*100*140*cos 110°
- BC² = 39176.56 (rounded)
- BC = √39176.56 = 197.93 km (rounded)
The distance between the boats is 197.93 km.
Answer:
1) The size of the colony after 4 days is 6553 mosquitoes
2) After 
Step-by-step explanation:
To answer this question you must use the growth formula
Where
is the initial population of mosquitoes = 1000
t is the time in days
k is the growth rate
N is the population according to the number of days
We know that when t = 1 and 
then N = 1600
Then we use these values to find k.
Now that we know k we can find the size of the colony after 4 days.
To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.
Answer:
Step-by-step explanation:
8/v=6/v-3
8*(v-3)=6v
8v-8*3=6v
8v-24=6v
+24 +24
8v=6v+24
-6v -6v
2v=24
v=24/2
v=12 miles /hour
v2=12-3=9 miles /hour ( your friend)
Discount =5%
Regular price =$83
Price at which daniel bought the shorts =$83-5%of$83
=$83-5×83/100
=$78.85
Use the equation for volume of a pyramid (base x width x height)
