Answer:
24s^2, 54s^2, 96s^2
Step-by-step explanation:
Let s represent the initial side length of the cube. Then the area of each face of the cube is A = 6s^2 (recalling that the area of a square of side length s is s^2).
a) Now suppose we double the side length. The total area of the 6 faces of the cube will now be A = 6(2s)^2, or 24s^2 (a 24 times larger surface area),
b) tripled: A = 6(3s)^2 = 54x^2
c) quadrupled? A = 6(4s)^2 = 96s^2
First we divide 102 by 12.75 to get the hours which is 8 hours. So it would take 8 hours
The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have given:
and


The above expression represents the common ratio:
d = 3
First term:
a = 5
The explicit rule for the arithmetic sequence:
a(n) = 5 + (n - 1)3
a(n) = 3n + 2
Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ1
Answer:
Step-by-step explanation:
Discussion
What you have presented is called a cyclic quadrilateral. A cyclic quadrilateral is a 4 sided figure whose angles (4 of them) all touch the circumference of a circle.
Here's what you want to know. Two angles that are opposite each other are supplementary (they add to 180 degrees)
Equation
x + 80 = 180 Subtract 80 from both sides.
Solution
x + 80 - 80 = 180 - 80 Combine
x = 100
Answer
x = 100
3 = 3/4(b - 8)
Switch sides
3/4(b - 8) = 3
Next, multiply both sides by 4
4 * 3/4(b - 8) = 3 * 4
Then simplify,
3(b - 8) = 12
Next, divide both sides by 3
3(b - 8)/3 = 12/3
Then, simplify
b - 8 = 4
Then, add 8 to both sides
b - 8 + 8 = 4 + 8
Simplify, b = 12