Add the numbers together then x 8 and you have your answer
The sum of the lengths of two legs of the 30°-60°-90° right triangle is 6.69 centimeters. Using the ratio of sides for the 30°-60°-90° triangle, the sum is calculated.
<h3>What is the ratio of sides for the 30°-60°-90° triangle?</h3>
The ratio for the 30°-60°-90° triangle is 1:√3:2 or x:x√3:2x
where x corresponds to the length opposite the 30° angle and x√3 is opposite of the 60° angle and 2x is opposite to the 90° angle.
<h3 /><h3>Calculation:</h3>
It is given that the triangle is a right triangle with angles 30°-60°-90°
For such a triangle, the ratio of side lengths is x: x
:2x
we have the length of the hypotenuse is 
So, 2x = 
⇒ x = 
So,
the other length of the other leg is x√3 = √6 × √3 = 3 √2
Then, the sum of these two legs = √6 + 3√2 = 6.69 centimeters.
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Answer:
1) $343
2) $40
Step-by-step explanation:
1) Kathy paid (100 - 30)% of 490
so we can multiply 490 by 70%
490 x .7 = 343
2) let 'x' = original price
if she's saving 10% (or .10) then she's paying 90% (or .90)
.9x = 36
x = 36/.9
x = 40
The answer is a. the first step is to divide the whole bottom equation by -1 because x can’t be negative. you then plug in y + 9 into the first equation to solve. so the equation would be (y + 9) + y = 11. you do this because in substitution you plug in one of the equations into the other equation. you then get 2y + 9= 11. you would next subtract 9 to both sides which leaves you with 2y= 2, divide by both sides, y = 1. you then plug the why value into the first equation to figure out the value for x. so it would be x + 1 = 11, subtract 1, x equals 10.
sorry this was hard to explain! hope this helps!
A piece-wise function combines more than one functions of different input values.
<em>The value of f(-1) is -3</em>
From the graph, we have the following observations
- <em>When x = -1, y = -3</em>
- <em>When x = -1, y = -4</em>
Notice that there is a closed circle at the point where x = -1 and y = -3.
This means that y = -3 is inclusive of the values of y on that particular function
However, there is an open circle at the point where x = -1 and y = -3.
This means that y = -4 is exclusive of the values of y on that particular function
The correct corresponding value of y is when y is inclusive.
Hence, the value of f(-1) is -3
See attachment for the graph of the piece-wise functions
Read more about piece-wise functions at:
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