Answer:
yes it is equal
Step-by-step explanation:
3/16= 1/8
9/48= 3/16= 1/8
Answer:
y = -0.83x - 2
Step-by-step explanation:
Slope intercept form is y = mx+b.
M is the slope: In this case the slope (rise/run) is 10/12. However, the slope is decreasing is that would make it negative.
Now we have: y = -0.83x + b
B represents the y-intercept. The y-intercept here is -2. So our final equation is:
y = -0.83x - 2
Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The completion times for a job task range from 10.1 minutes to 19.2 minutes
Generally given that the completion times is uniformly distributed then the probability that it will require between 12.7 and 16.8 minutes is mathematically represented as
Answer:
Yes, they are equal in the values (in radians):
π/4, 5π/4
If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included
Step-by-step explanation:
Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).
The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.
If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.
Answer:
19.33 ft
Step-by-step explanation:
This analogy has to do with Pythagoras theorem.
We're given our angle of elevation to be 46°, and told that the height of the building to be 20 ft. Using Pythagoras theorem, we know that the given height is opposite to the angle of elevation, and thus, the required distance is adjacent to it.
Sin 46° = opp / hyp
Sin 46° = 20 / hyp
hyp = 20 / sin 46
hyp = 20 / 0.719
hyp = 27.82 ft
We've gotten the length of the ladder, our hypotenuse, to be 27.82. It's tied length we'd then use top find the needed length.
Cos 46° = adj / hyp
Cos 46° = adj / 27.82
adj = 27.82 * Cos 46
adj = 27.82 * 0.695
adj = 19.33 ft
Therefore, the required length is approximately equal to 19.33 ft
