I’m assuming ‘dives further’ means to go directly down
the angle of elevation of the ship from the submarine is equal to the angle of depression of the submarine from the ship, if we assume the sea level is perpendicular to ‘directly down’.
let both of these angles to be = $ when the submarine is at A and ¥ when the submarine is at B (excuse the lack of easily accessible variables as keys)
then this become a simple trig problem:
A)
Let O be the position of of the ship, and C be the original position of the submarine.
therefore, not considering direction
|OC| = 1.78km = 1780m
|CA| = 45m
these are the adjacent and opposite sides of a right angled triangle.
But tan($) = opp/adj = |CA|/|OC| = 45/1780
therefore $ = arctan(45/1780) which is roughly 1.45 degrees,
B)
similarly, noting that |CB| = |CA| + |AB| = 45 + 62 = 107m
tan(¥) = 107/1780
¥ = arctan(107/1780) which is roughly 3.44 degrees
Answer:
1/6
Step-by-step explanation:
There are 2 numbers greater than 4 on a die (5 and 6).
A spinner divided into 12 equal sectors numbered 1 through 12 has 6 even numbered sectors.
Therefore, the probability is:
P = (2/6) (6/12)
P = 1/6
3. Credit Card: (1842.66 - 250) (.145/12) = $19.24
Savings: 250(0.04/12) = $0.83
Difference = 19.24 - 0.83 = $18.41
4. Credit Card: (1842.66 - 500) (.145/12) = $16.22
You will save $18.41 - $16.22 = $2.19 by putting all $500 toward the higher credit card rate.
Answer:
Step-by-step explanation:
a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit
b. 50n > 135 + 4.50n
