Answer:
Edge = 12
Total Surface Area = 72
Step-by-step explanation:
Volume of the cube = 1728
Length of the edge = ![\sqrt[3]{1728} = 12](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B1728%7D%20%20%3D%2012)
We know that
TSA (Total Surface Area) = 
where a = length of edge of cube
So,
TSA of cube = 
A. The term "units" refers to the measurements in the original question or problem. When looking at the question, the units we are measuring are dollars/feet.
B. In this case, the f'(x) means we are looking for the cost (in dollars) to drill the next foot down.
C. Since the cost increases the more feet we drill down, the sign of f'(x) is positive.
Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40
9514 1404 393
Answer:
(c) 16°
Step-by-step explanation:
The external angle at P is half the difference of the intercepted arcs:
P = (90° -58°)/2 = 32°/2
P = 16°
