Answer:
308cm²
Step-by-step explanation:
Assuming the given unit is in cm
The expression for the area of a regular Octagon is
A=2(1+√2)a²
Given the apothem a = 8cm
Substituting we have
A=2(1+√2)8²
A= 2(1+1.414)64
A= 2(2.414)64
A= 308cm²
Answer:
1125 m
Step-by-step explanation:
Given equation:

where:
- h = height (in metres)
- t = time (in seconds)
<u>Method 1</u>
Rewrite the equation in vertex form by completing the square:




The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point). As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point. Therefore, the maximum height is the y-value of the vertex: 1125 metres.
<u>Method 2</u>
Differentiate the function:

Set it to zero and solve for t:



Input found value of t into the original function and solve for h:

Therefore, the maximum height is 1125 metres.
Answer:
Yes it will be able to make the journey in under a year.
Step-by-step explanation:
To find out how many hours it will take
and divide by 8400
So it will take the space ship 190.476 hours to make the trip.
Next, ask our self, how many hours are in a year?
To find out multiply 365 * 24 = 8760 hr
The 365 = number of day in a year. The 24 = number of hours in a day.
Knowing how many hours there are in a year and how long the trip will take tells us that the journey can be made under a year since there are 8760 hours in a year and we know we can make it there in 190.476 hr traveling at 8400 mph
Answer:
2 YERAS AND 5 MONTHS
Step-by-step explanation:
90 = <u>910 X 4.1 X T </u>
100
90X100 = 3731 X T
9000 = 3731T
T = 2.4
2 YEARS AND .4X 12 = 5 MONTHS
IN 2 YEARS AND 5 MONTHS THE ACCOUNT WILL GROW TO $1,000
y-axis
That last sentence though, I died reading that.