The length of side x in simplest radical form with a rational denominator is 8√3
<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>
The given parameters are:
Triangle type = Equilateral triangle
Height (h) = 12
Missing side length = x
The missing side length, x is calculated using the following sine ratio
sin(60) = Height/Missing side length
This gives
sin(60) = 12/x
Make x the subject of the formula
So, we have
x = 12/sin(60)
Evaluate the quotient
So, we have
x = 12/(√3/2)
This gives
x = 24/√3
Rationalize
x = 24/√3 * √3/√3
Evaluate
x = 8√3
Hence, the length of side x in simplest radical form with a rational denominator is 8√3
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Answer:
1
Step-by-step explanation:
doesn't work hard enough
Answer:
-1
Step-by-step explanation:
given f(x)=-4x+7 find f(2)
f(2) means question : if x=2, f(2)=?
f(2)= -4x2+7=-1
Vertex form is
where (h,k) is the vertex.
We can see that the vertex of the graph is at (2,0), and that the graph opens downwards, but does not look stretched at all.
Therefore,
a = -1
h = 2
k = 0
and our vertex form equation is
which is answer A
Answer:
35
Step-by-step explanation:
So the triangle who posses the angle with measurement k=35 is an isosceles. I know this because there are two congruent legs. Those 2 congruent legs tell us the angles opposite of them are all congruent.
So we know one equation to solve is:
x+x+35=180 where x is the base angle in the left triangle picture.
Combine like terms:
2x+35=180
Subtract 35 on both sides:
2x=180-35
Simplify:
2x=145
Divide both sides by 2:
x=72.5
So one of the base angles of the left isosceles triangle is vertical with with another angle in the right. This triangle on the right is also isosceles.
So we know that 72.5+72.5+h=180.
Combine like terms:
145+h=180
Subtract 145 on both sides:
h=180-145
Simplify:
h=35
