Answer:
(190-5a)°
Step-by-step explanation:
Sum of internal angles of a triangle equals to 180°
If the third angle is x, then we have:
- (2a-32)°+(3a+22)° +x = 180°
- (5a- 10)° +x= 180°
- x= (180+10-5a)°
- x= (190-5a)°
The third angle is: (190-5a)°
Answer:
Move all terms that don't have "y
" in it to the right side and solve.
y
=−
17
/5
+
4
x
/5
Step-by-step explanation:
The answers are D, A, and C
Answer:
Part A: Up 9
Part B: Up 6
Step-by-step explanation:
Part A: The graph appears to be a cosine graph since it starts at a peak on the y-axis. Normally a cosine graph starts at (0,1). This graph begins at (0,10). It has been shifted up y a translation by 9.
Part B: Each trig equation has a basic structure f(x) = a sin (x+b) + k where:
- a is the vertical stretch
- b is the horizontal shift
- k is the vertical shift
A vertical translation is a vertical shift and is represented by the value in k added outside of the function. In the equation f(x) = 2sin(θ + 120°) + 6, k = 6. The vertical translation is 6.
Speed of tsunami = sqrt (9.8d) m/s where d is the depth of the ocean.
Given speed of tsunami to be 320 m/s, depth of the ocean is calculated as follows:
320=sqrt (9.8d) => 320^2 = 9.8d => d= (320^2)/9.8 = 10448.98 m
To nearest meter, d=10449 m
