The answer is: " 60° " .
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" m∠A = 60° " .
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Explanation:
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Note: All triangles, by definition, have 3 (three) sides and 3 (three angles).
The triangle shown (in the "image attached") has three EQUAL side lengths. Therefore, the triangle shown is an "equilateral triangle" and has 3 (three) equal angles, as well.
All triangles by, definition, have 3 (three) angles that add up to "180° " .
Since each of the 3 (three) angles is equal; and the three angles are:
"∠A" , "∠B" , and "∠C" ;
We can find the measure of "∠A" ; denoted as: "m∠A" ; as follows:
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m∠A = 180° ÷ 3 = 60° .
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The answer is: " 60° " .
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m∠A = " 60° " .
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The equation gives the height of the ball. That is, h is the height of the ball. t is the time. Since we are looking for the time at which the height is 8 (h=8), we need to set the equation equal to 8 and solve for t. We do this as follows:




This is a quadratic equation and as it is set equal to 0 we can solve it using the quadratic formula. That formula is:

You might recall seeing this as "x=..." but since our equation is in terms of t we use "t-=..."
In order to use the formula we need to identify a, b and c.
a = the coefficient (number in front of)

= 16.
b = the coefficient of t = -60
c = the constant (the number that is by itself) = 7
Substituting these into the quadratic formula gives us:



As we have "plus minus" (this is usually written in symbols with a plus sign over a minus sign) we split the equation in two and obtain:

and

So the height is 8 feet at t = 3.63 and t=.12
It should make sense that there are two times. The ball goes up, reaches it's highest height and then comes back down. As such the height will be 8 at some point on the way up and also at some point on the way down.
Answer:
s + b = $24,000
And,
s = 3b + $6,000
Step-by-step explanation:
Let us assume the stock be s
And, the bonds be b
So according to the question
It is given that
s + b = $24,000
And,
s = 3b + $6,000
The answers are
s + b = $24,000
And,
s = 3b + $6,000
The same would be considered