SinA = O/H
= 8<span>√3 / 16
=</span>√3 / 2
answer is B √3 / 2
Answer:


Step-by-step explanation:
Absolute Value Inequality entered :
|y+2|>6
Step by step solution :
Step 1: Rearrange this Absolute Value Inequality
Absolute value inequalitiy entered
|y+2| > 6
Step 2: Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |y+2|
For the Negative case we'll use -(y+2)
For the Positive case we'll use (y+2)
Step 3: Solve the Negative Case
-(y+2) > 6
Multiply
-y-2 > 6
Rearrange and Add up
-y > 8
Multiply both sides by (-1)
Remember to flip the inequality sign
y < -8
Which is the solution for the Negative Case
Step 4: Solve the Positive Case
(y+2) > 6
Rearrange and Add up
y > 4
Which is the solution for the Positive Case
Step 5:
Wrap up the solution
y < -8
y > 4
Solutions in Interval Notation
(-∞,-8)
(4,+∞)
Solutions on the Number Line
Two solutions were found :
y > 4
y < -8
There would be 173,535 lionfish after 6 years.
Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:
- A)
- 8000 x 1.67 ^ n = f
- B)
- 8000 x 1.67 ^ 6 = X
- 8000 x 21.691961596369 = X
- 173,535.692770952 = X
- C)
- (8000 - 1200 x 1 ^ n) x 1.67 ^ n = f
Therefore, there would be 173,535 lionfish after 6 years.
Learn more about maths in brainly.com/question/25851847
Answer:
see explanation
Step-by-step explanation:
Given
- 2a - 5 > 3 ( add 5 to both sides )
- 2a > 8
Divide both sides by - 2, reversing the direction of the inequality sign as a consequence of dividing by a negative quantity
a < - 4
Since a is less than we require an open circle at - 4 on the number line.
Since less than the arrow head is pointing to the left, that is
Graph A, the top graph illustrates the solution
Answer:
Step-by-step explanation:
Definition : The expression that can have constants (like 4), variables (like x or y) and exponents (like the 2 in
), that can be combined using addition, subtraction, multiplication and division, but no division by a variable and a variable's exponents can only be 0,1,2,3,... etc. and it can't have an infinite number of terms.
1. 6 + p
Being p be a variable this equation is polynomial
2. x – 1
Since x-1 has variable and constant so according to definition it is a polynomial
3. 8x−z3
According to definition it is a polynomial
4 .
Since has root so it is not a polynomial .