Area= (3 √(3) × s^2) ÷ s
s= side length
area=(3 √(3) × 16^2) ÷ 16
area= 83.1384387633
Answer:
1/3
Step-by-step explanation:
In statistics, the probability of both an event A and an event B happening is equal to the probability of A happening multiplied by the probability of event B happening.
Let's say spinning a prime number is event A and rolling a number ≤ 4 is event B.
There are 8 possibilities on an eight equal segment spinner, and there are 4 prime numbers between 1 and 8 (including 8), which are 2, 3, 5, and 7. This means that the probability of spinning a prime number is 4/8, or 1/2
There are 6 possibilities on a die, and there are 4 possibilities of rolling a 4 or less (1, 2, 3, 4). Therefore, the probability of rolling 4 or less on a die is 4/6, or 2/3
The probability of both of these happening can be calculated by multiplying these together, so 1/2 * 2/3 = 2/6 = 1/3
V = 48
A square pyramid is a polyhedron with a square base and 4 triangular faces. All the triangular faces meet at a single point called the apex. The faces of the pyramid connect the bases with the apex. Volume of a Square Pyramid is the measure of the number of units occupied by the pyramid.
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Answer:
y ≥ 8
Explanation:
Note that if f(x) is transformed into f(x + a) - b
The original functions is shifted a units to the left and b units downward.
Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.
From the given, g(x) is the transformation of f(x) with
f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.
Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.
y ≥ 11 - 3
The answer is y ≥ 8
<h2>
Answer:</h2>
By process of elimination, we can eliminate:
- <em>A:</em> <em>y = 3x - 1</em>
- <em>C: y = 3x + 1</em>
- <em>B: y = -3x</em>
<em>A and C</em> don't work because the given line has it's y-intercept at the origin, therefore, no y-intercept is written. <em>B </em>is not it either because the line <em>does not</em> go <em>down</em> from <em>left to right</em>, therefore, the slope is <em>not</em> negative.
The answer is <em>D: y = 3x</em> because since the line goes <em>up</em> from <em>left to right</em>, the slope is positive, and the y-intercept is the origin, so the equation will have no b.
