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:
Only one circle can be drawn through three non nonlinear points, No circle can be drawn through three nonlinear points
Step-by-step explanation:
A circle has a curve. As long as the three non nonlinear points both have the same amount of distance from the center of the circle it can be a circle drawn. No circle can be drawn through three points on the line.
The general equation for a linear equation is 
- y is the y-coordinate
- x is the x-coordinate
- m is the gradient of the slope
- c is where is passes through the y axis
So if you breakdown this equation (
) you are able to see that 2/3 is in the same spot as 'm' which is the gradient or slope of the line.
Also if there was a negative infront of 'm' then the gradient would slope down '\' instead of up '/'
Answer:
5
Step-by-step explanation:
x^2-7x=30
x^2-7x-30=0
a = 1, b = -7, c = -30
sqrt(b^2-4ac)
sqrt(49+120)
sqrt(169)
13
-b +/- 13
7 + 13 = 20
7 - 13 = -6
2a = 2
20/2 = 10
-6/2 = -3
we know x>0, so it cant be -3. so now its just 10 - 5
The simplest way to find this number is to add your two known values (7 and 6) which should be 13. Now you should subtract it from 18. (18-13). That should equal to 5, which is your answer.