there are 6 girls and 7 boys in a class. a team of 10 players is to be selected from each class. how many different combinations
1 answer:
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Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
we have the points (2,14) and (4,28)
Find out the constant of proportionality k
For (2,14) ---->
For (4,28) ---->
so
the value of
therefore
The equation is
Answer:
60 degrees
Step-by-step explanation:
To first solve this problem, we need to figure out the size of an interior angle for a regular hexagon.
This can be done with the formula :
, with n being the number of sides
A hexagon has 6 sides so here is how we would solve for the interior angle:
, with n= 6 sides
Now that we know that each interior angle in the hexagon is 120 degrees, we can now turn our attention to the rhombus.
The opposite angles of the rhombus are congruent, so the two larger obtuse angles are congruent, and so are the two smaller acute angles.
It is also important to note that a rhombus is a quadrilateral, so all of its interior angles add up to 360 degrees.
Looking at the rhombus, we already know one of the angles because it is shared by the interior angle of the hexagon, so the two larger angles in the rhombus are both 120 degrees.
But what about the smaller angles? All we need to do is subtract the two larger angles form 360 and divide by 2 to find the angle.
, so the smaller angle in the rhombus is 60 degrees.
Now that we know both the interior angle and smaller angle of the rhombus, we can find x.
Together, angle x and the angle adjacent to it makes up an interior angle of the hexagon, so x plus that angle is going to equal to 120 degrees.
All we need to do is solve for x:
x = 60 degrees
the discriminant is a negative value, thus no solution for such quadratic, meaning if we use h=64.5 like we did, there's no "t" seconds at which point the ball hits the batting cage.