Answer:
Step-by-step explanation:
The depth function is:
After 3 minutes, a submarine had descended to −320 feet.
This means that 
. So
After 8 minutes, the submarine had descended to −420 feet.
This means that 
. So
From the first equation:
So
And
So
Answer: x = 37.8
Step-by-step explanation: We start with triangle ABC with two sides given as 15 and 18. We shall make angle C the reference angle and thereby calculate the third side, line BC.
Since we have the opposite side as 15, and the adjacent side (which lies between the reference angle and the right angle) as 18, we can use the tangent of the angle C
Tan C = Opp/Adj
Tan C = 15/18
Tan C = 0.8333
From our table of values/use of the calculator
Tan C = 39.8
Angle C in triangle ACB = Angle C in triangle ECD (Opposite angles are equal).
That takes us to triangle ECD, since the reference angle is known (39.8) and the opposite side is also given (31.5), we can now calculate the adjacent which is side x.
Tan C = Opp/Adj
Tan 39.8 = 31.5/x
when you cross multiply, x moves to the left hand side, while Tan 39.8 moves to the right hand side
x = 31.5/Tan 39.8
x = 31.5/0.8333
<u>x = 37.8</u>
Answer:
You won't be in the negative but postive side of the graph
Step-by-step explanation:
Step-by-step explanation:
II will be the 90° clockwise rotation,
III will be the translation
IV will be the 180° rotation
V will be the 90° counter clockwise rotation
Answer: $106,300
<u>Step-by-step explanation:</u>
A = P(1 + r)
- A is the accrued amount (balance)
- P is the principal (initial amount)
- r is the rate --> convert to a decimal
Given: P = 96,812 r = 9.8% --> 0.098
A = 96,812(1 + 0.098)
= 96,812(1.098)
= 106,299.576
rounded to the nearest dollar is $106,300
