the answers are a and b and c
Answer:
Unknown.
Step-by-step explanation:
Need more info.
Answer:
<h3>444m</h3>
Step-by-step explanation:
Given the height of the rocket modelled by the equation;
y=-16x^2+152x+83
The rocket reaches its maximum height when the velocity of the rocket is zero.
Since velocity is the change in displacement with respect to time;
velocity v = dy/dx
dy/dx = -32x + 152
at dy/dx = 0
-32x + 152 = 0
-32x = -152
x = -152/-32
x = 4.75s
To get maximum height reached by the ball, we will substitute x = 4.75 into the modeled function as shown;
y(4.75) = -16(4.75)^2+152(4.75)+83
y(4.75) = -361+722+83
y(4.75) = 444m
Hence the maximum height reached by the ball is 444m
In 4 years the population will be 164,232 people.
This is an example of exponential growth. We are multiply the population repeatedly by 1.15 because it is being increase by 15%.
We can simply write and evaluate the expression below to get the correct answer:
93900(1.15)^4
<h2>The length of each side of the equilateral traingle is 1/24 unit.</h2>
<u>Step-by-step explanation:</u>
Given that the perimeter of an equilateral triangle is 1/8 unit. With this information, we are asked to find the length of each side of yhe equilateral traingle.
The perimeter of equilateral traingle is defined as the three times of the length of edge. Mathematically;
→ Perimeter = 3a
By substituting the given values in the formula, we get the following results:
→ 1/8 = 3a
→ a = 1/24
Hence, the length of each side of the equilateral traingle is 1/24 unit.
<u>Additional information:</u>
- A triangle has three sides or edges.
- A triangle has three angles.
- A triangle has three vertices or corners.
- The sum of all internal angles of a triangle is always equal to 180 degrees. This is known as the angle sum property of a triangle.
- The sum of the length of any two sides of a triangle is greater than the length of the third side.
- There are three types of triangle, Scalene Triangle, Isosceles Triangle, Equilateral Triangle.
- Area of triangle = 1/2 * b * h.
- Perimeter of triangle = sum of all sides.
