A archer releases an arrow with an initial velocity of 30 feet per second at a height of 3 feet. The path the arrow takes
2 answers:
Answer:
1.97
Step-by-step explanation:
The arrow will hit the ground when the height is 0. We need to solve the quadratic equation:
Solving the quadratic equation gives two solutions −0.10 and 1.97 because we know the answer should be a positive number of seconds we can conclude that the object will hit the ground at 1.97 seconds.
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Answer:
The value of x = 7
Step-by-step explanation:
Given the right triangle
- Right angle = 90°
- α = (4x+7)°
- β = (8x-1)°
- We know that the sum of angles of a triangle is 180°.
so
Right angle + α + β = 180°
90° + 4x+7 + 8x-1 = 180
Group like terms
Add similar elements: :4x+8x=12x
Divide both sides by 12
Therefore, the value of x = 7
Answer:
Dimensions:
Perimiter:
Minimum perimeter: [16,16]
Step-by-step explanation:
This is a problem of optimization with constraints.
We can define the rectangle with two sides of size "a" and two sides of size "b".
The area of the rectangle can be defined then as:
This is the constraint.
To simplify and as we have only one constraint and two variables, we can express a in function of b as:
The function we want to optimize is the diameter.
We can express the diameter as:
To optimize we can derive the function and equal to zero.
The minimum perimiter happens when both sides are of size 16 (a square).