Answer:
Step-by-step explanation:
The diagonal of any square with side length 
is equal to 
. Since the side length of the square is 10, the diagonal must be 
.
To support and prove this:
The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse (
).
Call the diagonal 
. In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have:
Answer:
22% or 23%
Step-by-step explanation:
when solving you should set up a fraction with the part of top and whole on the bottom or 11/48. You then make that fraction equal to x/100. You then Cross multiple, Multiplying 11 × 100 which gives you 1100 and then divide 1100/48. Your answer is 22.9 but it's based on how you round it.
The right answer is C) 70 miles.
Answer:
Relative minimum: 
, Relative maximum: 
Step-by-step explanation:
First, we obtain the First and Second Derivatives of the polynomic function:
First Derivative
(1)
Second Derivative
(2)
Now, we proceed with the First Derivative Test on (1):
The critical point is 
.
As the second derivative is a constant function, we know that critical point leads to a minimum by Second Derivative Test, since 
.
Lastly, we find the remaining component associated with the critical point by direct evaluation of the function:
There are relative maxima.
Answer:
155,588
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = growth rate
N = number of years 2021 - 2014 = 7
130,000(1.026)^7 = 155,587.6
rounding off to the nearest whole number is 155,588
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
