Answer:
x = 4
Step-by-step explanation:
sin 30 = x/8
0.5 = x/8
x = 4
Answer:
Step-by-step explanation:
we have

Equate to zero


The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
Remember that

so
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Step-by-step Solution for Part-a:
<u>We know that:</u>
- Row-1: 20 seats
- Row-2: 20 + 11
- Row-x: 20 + (11x - 11)
Since the number of rows in rows x is 20 + (11x - 11), the formula to calculate the number of seats in each row is 20 + (11x - 11).
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Step-by-step Solution for Part-b:
<u>We know that:</u>
- y rows = 174 seats
- Obtained rule from part-a: 20 + (11y - 11)
<u>Solution:</u>
- 20 + (11y - 11) = 174 rows
- => 20 + 11y - 11 = 174 rows
- => 9 + 11y = 174 rows
- => 11y = 174 - 9 rows
- => 11y = 165
- => y = 165/11
- => y = 15
Hence, the row which has 174 seats is row 15.
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This is relatively simple because both have the same common denominator. All you must do is add 3 and 9 together. That gives you 12/14. To simplify we can half both numbers down to 6/7.
Hope that helps !
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