Answer:
60 seconds
Step-by-step explanation:
step 1.) find how many meters it falls per second
40m / 4sec = 10m/s
step 2.) use the equation above to find in terms of the question
10m/s for 6sec = 10 x 6 ====> 60 seconds
Answer:
The answer is 8 .
Step-by-step explanation:
f(x)=36
36=3x+12
36-12 and 12 -12
36-12=24
24 divided by the 3 that left in the equation equals 8 .
36=3x+12
-12 -12
24=3x
divided 24 by 3 and get 8
Answer:
• c = √89 ≈ 9.434
• A = arcsin(8/√89) ≈ 57.995°
• B = arcsin(5/√89) ≈ 32.005°
Step-by-step explanation:
By the law of cosines, ...
c² = a² + b² -2ab·cos(C)
Since c=90°, cos(C) = 0 and this reduces to the Pythagorean theorem for this right triangle.
c = √(8² +5²) = √89 ≈ 9.434
Then by the law of sines (or the definition of the sine of an angle), ...
sin(A) = a/c·sin(C) = a/c = 8/√89
A = arcsin(8/√89) ≈ 57.995°
sin(B) = b/c·sin(C) = b/c = 5/√89
B = arcsin(5/√89) ≈ 32.005°
Answer:
a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:
b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence
Step-by-step explanation:
Answer: all the ones that do not have a negative sign in front easy.
