Answer:
Step-by-step explanation:
Remember that
If angle t belong to the First Quadrant
then
The value of sin(t) and cos(t) are positive values
we know that
---> by trigonometric identity
we have
substitute
The two numbers that have a product of 48 are 6 and 8 or 12 and 4, etc. They can be multiplied together to get 48, which is the product of the two numbers.
The formula for finding the product of two numbers is to multiply them together. For example, if you have two numbers, a and b, the product of these two numbers is a multiplied by b or an a x b.
The two numbers that have a product of 48 and a sum of 16 are 4 and 12. You can multiply 4 and 12 together to get 48, and you can add them together to get 16.
When the product of two numbers is one of each number, the other number is 1. This means that when the product of two numbers is the same as one of the numbers, the other number must be 1, as 1 multiplied by any number is always equal to itself.
Learn more about the product of two numbers with an example:
brainly.com/question/27860917
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Let x represent the number of adult tickets sold.
Let y represent the number of student tickets sold.
We were told that the movie theater sold a total of 205 tickets to a movie. This means that
x + y = 205
Adult tickets were $9 and student tickets were $5. This means that the cost of x adult tickets and y student tickets is 9x + 5y. If the total cost of the tickets was $1621, it means that
9x + 5y = 1621
From the first equation, x = 205 - y
We would substitute x = 205 - y into 9x + 5y = 1621. Thus, we have
9(205 - y) + 5y = 1621
1845 - 9y + 5y = 1621
- 9y + 5y = 1621 - 1845
- 4y = - 224
y = - 224/- 4
y = 56
x = 205 - y = 205 - 56
x = 149
Thus, 56 student tickets were sold
