HEY YOU, PLS HELP ME!!!! Determine the arc of AB. Give your answer to two decimal places.
1 answer:
<h3>Answer: 19.48</h3>
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Explanation:
What you type into that calculator (or any calculator really) is this
(124/360)*2*pi*9
This is because we use this generalized formula
L = (x/360)*2*pi*r
where,
- L = arc length, or distance along the piece of the curve
- x = central angle in degrees
- r = radius
So after typing in that expression, you should get roughly 19.47787445 as shown in the screenshot below.
This then rounds to 19.48
Note: I used the calculator's stored version of pi. If you used something like pi = 3.14, then the answer would be slightly different.
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Let's call a child's ticket and an adult's ticket
. From this, we can say:
,
since 116 tickets are sold in total.
Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus
.
Given these values, we can say:
,
since each adult ticket costs 17,000 and each child's ticket
costs 12,750, and these costs sum to 1,653,250.
Now, we have two equations:
Let's solve:
- Find
on its own, which will allow us to substitute it into the first equation
- Substitute in
for
- Apply the Distributive Property
- Combine like terms
- Subtract 1972000 from both sides of the equation and multiply both sides by -1
We have now found that 75 child's tickets were sold. Thus,
,
41 adult tickets were sold as well.
In sum, 41 adult tickets were sold along with 75 child tickets.