By simplifying the number given which is 8 2/3, we get an improper fraction of 26/3. Also, when we try to divide 26 by 3, we get an answer of 8.6667, with 6 as a repeating number after the decimal place. Therefore, this number is an example of real and rational number. Thus the answer is the second choice.
Answer:
Step-by-step explanation:
we are given surface area and the length of the square base
we want to figure out the Volume
to do so
we need to figure out slant length first
recall the formula of surface area
where B stands for Base area
and P for Base Parimeter
so
now we need our algebraic skills to figure out s
simplify parentheses:
reduce fraction:
simplify multiplication:
cancel 64 from both sides;
divide both sides by 16:
now we'll use Pythagoras theorem to figure out height
according to the theorem
substitute the value of l and s:
simplify parentheses:
simplify squares:
cancel 16 from both sides:
square root both sides:
recall the formula of a square pyramid
where A stands for Base area (l²)
substitute the value of h and l:
simplify multiplication:
reduce fraction:
hence,
1. Solve for x in 2x + 5 = 12
2x + 5 = 12 Subtract 5 from both sides.
2x = 7 Divide 2 from both sides.
x = 3.5
2. Substitute 3.5 in for x in 6x + 20
6(3.5) + 20
21 + 20
41
Your answer is 41.
Answer:
a). 8(x + a)
b). 8(h + 2x)
Step-by-step explanation:
a). Given function is, f(x) = 8x²
For x = a,
f(a) = 8a²
Now substitute these values in the expression,
= 
= 
= 
= 8(x + a)
b). 
= 
= 
= 
= (8h + 16x)
= 8(h + 2x)
Answer:
Suppose we roll a six-sided number cube. Rolling a number cube is an example of an experiment, or an activity with an observable result. The numbers on the cube are possible results, or outcomes, of this experiment. The set of all possible outcomes of an experiment is called the sample space of the experiment. The sample space for this experiment is \displaystyle \left\{1,2,3,4,5,6\right\}{1,2,3,4,5,6}. An event is any subset of a sample space.
The likelihood of an event is known as probability. The probability of an event \displaystyle pp is a number that always satisfies \displaystyle 0\le p\le 10≤p≤1, where 0 indicates an impossible event and 1 indicates a certain event. A probability model is a mathematical description of an experiment listing all possible outcomes and their associated probabilities. For instance, if there is a 1% chance of winning a raffle and a 99% chance of losing the raffle, a probability model would look much like the table below.
Outcome Probability
Winning the raffle 1%
Losing the raffle 99%
The sum of the probabilities listed in a probability model must equal 1, or 100%.
