We have that
<span>y=2sinx-cosx
y=cosx
</span>over the interval 0≤x≤pi/2-------> 0≤x≤1.57
using a graph tool
see the attached figure
the solution in the given interval is the point (pi/4, 0.707)
the y-value of the point of intersection is 0.707 -----> √2/2
the answer is the option <span>
b. (square root of 2)/2</span>
Answer:
1. 10
2. 12
3. Sqrt 130
4. Sqrt 45
Step-by-step explanation:
To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is
where a and b are the legs with a being the smallest and c is the hypotenuse.
1. a=6, b=8, c=?

2. a=5, b=?, c=13

3. a=7, b=9, c=?

4. a=2, b=?, c=7

10 miles=52800 feet (I know for sure)
Answer:the price of one senior citizen's ticket is $4
the price of one student ticket is $10
Step-by-step explanation:
Let x represent the price of one senior citizen's ticket
Let y represent the price of one student ticket.
On the first day of ticket sales the school sold 6 senior citizen tickets and 10 student tickets for a total of $124. This means that
6x + 10y = 124 - - - - - - - - - - 1
The school took in 98 on the second day by selling 12 senior citizen tickets and 5 student tickets. This means that
12x + 5y = 98 - - - - - - - - - - - 2
Multiplying equation 1 by 2 and equation 2 by 1, it becomes
12x + 20y = 248
12x + 5y = 98
Subtracting, it becomes
15y = 150
y = 150/15 = 10
Substituting y = 10 into equation 1, it becomes
6x + 10 × 10= 124
6x + 100 = 124
6x = 124 - 100 = 24
x = 24/6 = 4