Answer:
Step-by-step explanation:
we know that
In the right triangle GHI
----> by CAH )adjacent side divided by the hypotenuse)
substitute the given values
solve for IG
see the attached figure to better understand the problem
Answer:
Dragon = $36, Yuki = $30
Step-by-step explanation:
Dragon Sushi:
$12/8 pieces = $1.50/piece
$1.50/piece x 24 pieces = $36/24 pieces
Yuki's Steakhouse =
$15/12 pieces = $1.25/piece
$1.25/piece x 24 pieces = $30/24 pieces
The resulting equation of that step is the square root of (x + 2)² is (x + 2).
<h3>What is the square root function?</h3>
A square root function is defined as a one-to-one function that takes a positive number as an input and returns the square root of the given input number.
From there, it was pretty easy for Theo to find the solutions
to the original equation.
If (x + 2) = +2 , then x = 0 .
If (x + 2) = -2 , then x = -4
Hence, the resulting equation of that step is the square root of (x + 2)² is (x + 2).
To know more about the square root function click the link given below.
brainly.com/question/4480283
(2x+11)+(5x+1)=180
7x+12=180
7x=168
x=24
<h3>Two
Answers: 3 and 3.5</h3>
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Explanation:
Let's isolate the variable 'a' in the given inequality.
4a + 2 > 12
4a + 2-2 > 12-2
4a > 10
4a/4 > 10/4
a > 2.5
In the second step, I subtracted 2 from both sides to undo the "plus 2". In the second to last step, I divided both sides by 4 to undo the multiplication.
The solution is a > 2.5, meaning that anything larger than 2.5 will work in the original inequality.
For example, we could try a = 3 to get
4a + 2 > 12
4*3 + 2 > 12
12 + 2 > 12
14 > 12
which is true. This makes a = 3 a solution. The value a = 3.5 is a similar story, so it's also a solution.
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As an example of a non-solution, let's try a = 1
4a + 2 > 12
4*1 + 2 > 12
4 + 2 > 12
6 > 12
which is false. So we can see why a = 1 is not part of the solution set. You should find that a= 0.5 and a = 2.5 won't work as well for similar reasoning.
