The equation is not well formatted so I assumed it is
![D(t) = 2 \sin(\dfrac{\pi}{3}t + \dfrac{5\pi}{3}) + 5](https://tex.z-dn.net/?f=D%28t%29%20%3D%202%20%5Csin%28%5Cdfrac%7B%5Cpi%7D%7B3%7Dt%20%2B%20%5Cdfrac%7B5%5Cpi%7D%7B3%7D%29%20%2B%205)
Answer:
1.0472 m/s
Step-by-step explanation:
If
, the rate at which the depth is changing is the time-derivative of D(t);
![\dfrac{d}{dt}D(t) = \dfrac{2\pi}{3}\cos(\dfrac{\pi}{3}t + \dfrac{5\pi}{3})](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdt%7DD%28t%29%20%3D%20%5Cdfrac%7B2%5Cpi%7D%7B3%7D%5Ccos%28%5Cdfrac%7B%5Cpi%7D%7B3%7Dt%20%2B%20%5Cdfrac%7B5%5Cpi%7D%7B3%7D%29)
At 2 am, t = 2 hours after midnight.
Substitute this in the last equation.
The rule of transmission is given by.
Points are
New co-ordinates will be
We can ise Pythagorean triplet which is ( 12 , 16 , 20 )
Therefore the answer is 16.
Step-by-step explanation:
Or we can use Pythagoras theorem , stated as ;
( hyp )^2 = ( adj )^2 + ( opp )^2
hyp ( hypotenuse ) = 20
We can assume the adj ( adjacent ) = 12
By substituting the values ,
20^2 = 12^2 + ( adj )^2
400 = 144 + ( adj )^2
400 - 144 = ( adj )^2
256 = ( adj )^2
Take the square root of both sides
✓256 = adj
16 = adj
Therefore the length of the other leg which is the adjacent( adj ) side is 16.
Answer:
Option c is correct.
Equation with slope of 7 is; ![y =7x](https://tex.z-dn.net/?f=y%20%3D7x)
Step-by-step explanation:
The Equation of line is in the form of :
.....[1]
where
m represents the slope of the line.
x represents the variable.
Given : The slope of a line is 7
m = 7
substitute the value of m =7 in [1];
![y = 7x](https://tex.z-dn.net/?f=y%20%3D%207x)
Therefore, the equation of line which graphs to a line with a slope of 7 is, y =7x
We will be using PEMDAS rule here :
P
- Parentheses first
E
- Exponents (ie Powers and Square Roots, etc.)
MD
- Multiplication and Division (left-to-right)
AS
- Addition and Subtraction (left-to-right)
8+2(12-5)
Step 1:
Solving parenthesis first:
8+2(7)
Step 2:
Multiplying 2*7
8+14
Step 3:
Adding 8 and 14
22
Answer is 22