Answer:
1) 39
2) 59
3) 53
4) 38
5) 9
6) 12
7) 15
8) 11
Step-by-step explanation:
if the angles together is a right angle than you just subtract the angle that is known from 90 and you get your other angle.
1) 90 - 51 = b = 39
2) 90 - 31 = b = 59
3) 90 - 37 = b = 53
4) 90 - 52 = b = 38
5) 90 - 56 = 34
34 = 3x + 7
3x + 7 - 7 = 3x
34 - 7 = 27
3x = 27
3x / 3 = x
27 / 3 = 9
6) 90 - 48 = 42
42 = 3x + 6
3x + 6 - 6 = 3x
42 - 6 = 36
3x = 36
3x / 3 = x
36 / 3 = 12
7) 90 - 47 = 43
43 = 2x + 13
2x + 13 - 13 = 2x
43 - 13 = 30
2x = 30
2x / 2 = x
30 / 2 = 15
8) 3x + 5x + 2 = 90
8x + 2 = 90
8x + 2 - 2 = 8x
90 - 2 = 88
8x = 88
8x / 8 = x
88 / 8 = 11
You find its absolute value which is 11
Answer:
The correct option is;
A) Components: [0.30, 0.70], magnitude: 0.76
Step-by-step explanation:
The given parameters are;
The path of the of the airplane at 5 a.m. given by The National Weather Service = [3, 7]
The location of the hurricane at 6 a.m. = 1/10 of the total distance between the point where it was detected to the point where it is predicted to make land fall
Therefore;
The components of the vector at 6.00 a.m. = 1/10 × [3, 7] = [0.3, 0.7]
The magnitude of the vector at 6.00 a. m. = √(0.3² + 0.7²) ≈ 0.76.
<h2>Steps</h2>
So for this, we will be creating an equation using the exponential formula - which is 
(a = initial value, b = growth/decay).
Firstly, we know that the original population of the deer is 1,500 so that will be our a value.
Next, we know that the population is growing by 2% annually. With this, we will <em>add</em> 1 and 0.02 (2% in decimal form) since the population is <em>increasing</em>.
1.02 will be our b variable. Now putting it together, our equation is: 
Now that we have our equation set up, plug 4 into the x variable and solve for y as such (Remember to not round until the very end):
<h2>Answer</h2>
<u>After 4 years, the deer population will be 1,624.</u>
