Answer:
39.9
Step-by-step explanation:
a/sinA = c/sinC
a/sin(77) = 16/sin(23)
a = sin(77) × 16/sin(23)
a = 39.89935764
Answer:
Resultant vector of two vectors is (0, 0).
Step-by-step explanation:
in this question two vectors having ordered pair (-6, 5) and (6, -5) have been given.
We can represent these vectors in the form of

and 
Now the resultant of these vectors will be = A + A'
A + A' =
+ 
So the resultant vector = (0 + 0)
Therefore the resultant will be (0, 0)
Answer:
The concentration of hydrogen ions in moles per liter (M) is 
Step-by-step explanation:
As we know
The hydrogen ion concentration of any solution at pH is given by

Substituting the given values in above equation, we get -
mol/l
The concentration of hydrogen ions in moles per liter (M) is 
The area of the circle is 314.16
The formula is a= pi times the radius squared
Answer:
<h2>A 16mm</h2>
Step-by-step explanation:
An equilateral triangle is a triangle that has all of its sides equal.
Perimeter of an equilaterial triangle = 3s where;
s is one side of the triangle.
Given the perimeter of ABC = 96mm
Substituting into the formula above to get s;
96 = 3s
s = 96/3
s = 32mm
Hence the length of one side of the triangle is 32mm
If a perpendicular bisector is drawn from angle A to side Line segment B C at point M, then MC will be half of BC and ΔAMC will be a right angled triangle.
Since all the sides of the triangle are equal, hence BC = 32mm. Since MC is the half of BC, then MC = 1/2 of 32mm
MC = 1/2 * 32mm
MC = 16mm
<em>Hence the length of Line segment MC is 16mm</em>
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