Answer:
about 2.81 km/h
Step-by-step explanation:
It can be useful to draw a diagram.
The lines pointing to due north from points B and P are parallel, so the angle BCP and the bearing of point C from P are the same, 30°. The angle BPC will be the difference of bearings of B and C at P, so is 47-30=17°. This is enough information to solve the triangle using the Law of Sines:
PB/sin(C) = CB/sin(P)
CB = PB·sin(P)/sin(C) = (1200 m)·sin(17°)/sin(30°) ≈ 701.7 m
The speed of the boat is then ...
x = distance/time = (0.7017 km)/(1/4 h) = 2.8068 km/h
Answer:
18?
Step-by-step explanation:
Answer:I=103395.6
Step-by-step explanation:
<span>(3x + 5)(x - 3) = 3x</span>² - 9x + 5x - 15 = 3x² - 4x - 15
Answer: 3x² - 4x - 15
Answer: There are 5 grasshoppers, 15 crickets and 20 ladybugs
Step-by-step explanation:
The question in english is:
Jose has found several insects. There are 10 less grasshoppers than crickets. There are 5 less crickets than ladybugs. If Jose has found 5 grasshoppers, how many ladybugs did he find and how many crickets? Write two equations to solve the problem.
Let's tag grasshoppers with 
, crickets with 
and ladybugs with .
So, we are tolde there are 10 less grasshoppers than crickets:
(1) We have the first equation
Then, we are told there are 5 less crickets than ladybugs:
(2) This is the second equation
If 
and we substitute this in both equations we will have:
(3)
Isolating :
(4) There are 15 crickets
Substituting (4) in (2):
(5)
Isolating 
:
There are 20 ladybugs
Therefore:
There are 15 crickets and 20 ladybugs
