Step One
Find AM
Formula
AM = MN - AN
Givens
MN = 67.2
AN = 32
Solution
AM - 67,2 - 32
AM = 35.2
Step Two
Set up a solution
67.2/35.2 = 81.9/x Cross Muliply
67.2 * x = 81.9 * 35.2 Combine the right
67.2 * x = 2882.88 Divide by 67.2
x = 2882.88/67.2
x = 42.9 Answer
Step-by-step explanation:
Since the triangles are right angled and are similar,
by Pythagoras theorem,
(10√3)^2 = (5√3)^2 + a^2
a = 15, a > 0
Topic: Pythagoras theorem
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$39.40 all together. You would multiply the cost of 2.90 by the amount needed which is 6 and get you an answer of 17.4. Then you would multiply the cost of 4.40 by the amount needed which is 5 and get you the answer of 22. You would then add the sums 17.4 and 22 and get you your answer of $39.40
Answer: The parabola has its concavity downwards, so we need a function in the model:
With a negative value of 'a'
The vertex is (0,0), so we have that:
The x-coordinate of the vertex is given by the equation:
So we have a function in the model:
With a < 0
The only option with this format is B:
Step-by-step explanation: