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:
1/2x-5=13
Step-by-step explanation:
Let x= Frankie’s mother’s age
Half his mother’s age= 1/2x
5 less than that=1/2x-5
We know that Frankie is 13 so that equation is equal to Frankie’s age, which is 13.
Hope this helps.
X+y= 26 and 4.75x + 2.25y= 83.50
y=26-x( substitute this into second equation for y and solve for x)
4.75x + 2.25(26-x)= 83.50
4.75x + 58.5-2.25x= 83.50
x= 10
Now solve for y by substituting your answer for x
10+ y= 26
y=16
Therefore, 16 tickets were purchased for kids and 10 for adults.
Answer:
<h2>4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U</h2>
Step-by-step explanation:
In this proble, we defined:
- D represents tens.
- C represents hundreds.
- M represents millions.
- U is units.
So, the given number is 4,520,389, where we need to state the proper variable according to the position of each digit and its value.
4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U
In words, the first term represents 4 millions, the second term represents 5 hundred thousands, the third term represents twenty thousands, the fourth term represents three hundreds, the fifth term represents eighty and the las term represents 9 units.
Answer:
1. 1 1/2 feet
2. 0.46
3a. 0.62 I'm not sure if this one's correct, it's worded weird
3b. -3.43
3c. 0.14
3d. -0.481
