Answer:
x = 4 radical 3 / 3
Step-by-step explanation:
this is a 30-60-90 triangle
the side across from the angle 30 is L
the side across from the angle 60 is L√3
the side across from the angle 90 is 2L
we are given the side across from 60⁰ so we know that:
2 = L√3
we want to solve for L, so we must divide both sides by √3 (radical three)
2/√3 = L√3/√3
you would get 2/ √3 = L, because the radical three cancels out on the L side.
but you can't have a radical in the denominator, so you have to multiply 2/√3 by radical 3
2 times √3 and √3 times √3
you get 2√3/√9
radical nine can simplify
2radical3/3 or 2√3/3
we found L, but that would equal the thirty degree angle, not the 90, 90 = 2L
multiply the number infront of the radical by two and get
4√3/3
x=4 radical 3 divided by 3
<h3>
Answer: A) Dashed line, shaded below</h3>
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Explanation:
2x + 4y < 16 solves to y < -0.5x+4 when you isolate y. The inequality sign does not change direction because we divided both sides by a positive value (in this case, 4).
The graph of y < -0.5x+4 will be the same as the graph of 2x+4y < 16
To graph y < -0.5x+4, we graph y = -0.5x+4 which is a straight line that goes through the two points (0,4) and (2, 3). This is the boundary line of the inequality shaded region. The boundary line is a dashed line because we are not including points on the boundary that are part of the solution set. We only include these boundary points if the inequality sign has "or equal to".
We then shade below the dashed boundary line to indicate points below the boundary line. The shading is done downward due to the "less than" sign.
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Perhaps another method to find what direction we shade is we can try out a point like (0,0). The point cannot be on the boundary line.
Plug those coordinates into either equation. I'll pick the second equation
y < -0.5x+4
0 < -0.5*0+4
0 < 0+4
0 < 4
The last inequality is true, so the first inequality is also true when (x,y) = (0,0). Therefore, the point (0,0) is in the shaded region. The point (0,0) is below the boundary line y = -0.5x+4
So this is another way to see that the shaded region is below the boundary line.
Answer:
This is Isosceles Right
Step-by-step explanation:
An Isosceles is a triangle that has two sides the same length and one side longer or shorter
An Right is an triangle with a 90˚
Hope this helps!
Answer:
3
Step-by-step explanation:
