Answer:
3√15/4
Step-by-step explanation:
sin x = 2/8
- from the trigonometric rule sin²x+cos²x = 1
- cos²x = 1-sin²x
sinx = 2/8
sin²x = (2/8)² = 2²/8² = 4/64
1- sin²x = 1-4/64 = 64 -4/64 = 60/64 = 15/16
cos x = √(15/16) = √15 /4
3 x cos x = 3 x √15/4 = 3√15/4
Answer:
They purchased 11 Packets
Step-by-step explanation:
C=11p + 30
After plotting the data, we get a linear line and the right region represents the solution to the inequality.
<h3>What is inequality?</h3>
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have an inequality:
x - 2y > -6
As we can see in the inequality, there is a greater than sign, which shows at the boundary there will be a dotted line.
The x-intercept will be at x = -6
The y-intercept will be at y = 3
Thus, after plotting the data, we get a linear line and the right region represents the solution to the inequality.
Learn more about the inequality here:
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The price of one senior citizen ticket is 8$ and one student ticket is 12$.
<h3>What is the equation?</h3>
The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let the price of one senior citizen ticket = x
And the price of one student ticket = y
Given that, on the first day of ticket sales, the school sold 13 senior citizen tickets and 13 student tickets for a total of $260
The school took in $212 on the second day by selling 13 senior citizen tickets and 9 student tickets.
13x +13y = 260
13x + 9y = 212
Subtract the equation from first
13x +13y - (13x + 9y) = 260 - 212
4y = 48
y = 48/4
y = 12
Substitute the value of y in the equation 13x + 9y = 212
13x + 9(12) = 212
13x + 108 = 212
13x = 212 - 108
13x = 104
x = 104/13
x = 8
Hence, the price of one senior citizen ticket is 8$ and one student ticket is 12$.
Learn more about the equation here:
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Answer:
The package where they charge the same must cost $2
Step-by-step explanation:
Given
UPS
FedEx
Required
What pound do both charges are the same
Represent the charges with x;
For UPS, it can be written as:
For FedEx:
It is:
Equate these charges together
Collect Like Terms
<em>Hence, the package where they charge the same must cost $2</em>