Answer:
Below in bold.
Step-by-step explanation:
a. Distance = speed * time
d = st
So substituting in the given values:
d = 9t where t is the time it takes to travel from the hive to the flowerbed.
The total time that the bee is inflight = 19 - 16 = 3 minutes
= 180 seconds.
So for the return flight the time taken is (180-t) seconds.
So d = 6(180 - t).
and we can find the distance from the hive to flowerbed by solving the the 2 equations highlighted.
b, d = 9t
d = 6(180 - t).
Therefore:
9t = 6(180 - t)
9t = 1080 - 6t
9t + 6t = 1080
15t = 1080
t = 72 seconds
So Distance d = 9*72
= 648 ft.
c. d = 9t.
The angle for which the sine value is 0.6691 is found to be 42°.
What is the sine value?
A trigonometric function called sin x, where x is the angle under discussion stands for the sine of an angle. The sine function is the proportion between the perpendicular and hypotenuse of a right-angled triangle. In other words, the hypotenuse and its value change as the angle changes, and it is the ratio of the side opposite to the angle under discussion. In the study of physics, sound and light waves are represented by the sine function.
When the angle between a right-angled triangle's base and hypotenuse changes, the sine's value changes.
=41.99°≈42°
Learn more about sine values here:
brainly.com/question/2920412
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The inequality is 4 ≥ x/2.1, and the answer is 8.4 ≥ x (or x ≤ 8.4).
To solve this, we multiply both sides by 2.1:
4*2.1 ≥ x
8.4 ≥ x.
Answer:1209
Step-by-step explanation: 36+78 gives you 114, 114+475 gives you 589 then 589+620 brings you to the final answer 1209.
Answer:
Yes, this solution will still be optimal with the new constraint added.
Step-by-step explanation:
An optimization model is a translation of the key characteristics of the business problem you are trying to solve. The model consists of three elements: the objective function, decision variables and business constraints.
How do I create an optimization problem?
- Optimization Problem Setup
- Choose a Solver. Choose the most appropriate solver and algorithm.
- Define Objective Function. Define the function to minimize or maximize, representing your problem.
- Define Constraints. Provide bounds, linear constraints, and nonlinear constraints.
- Set Options. Set optimization options.
- Parallel Computing.
