Answer:
x = 
Step-by-step explanation:
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>
The answer is 8, because CA and BC are equal
Here is the information we have:
1. The perimeter is at most 130 cm.
2. The length of the rectangle is 4 times the width.
We can let l stand for length and w for width.
The formula for the perimeter of a rectangle is 2l + 2w.
We have to change the formula a bit.
The length of this rectangle is going to be 4 times the width
So, replace 2l with 2(4w).
Then make this equation equal to 130.
2(4w) + 2w = 130 ; Start
8w + 2w = 130 ; Distribute the 2 across the 4w
10w = 130 ; Combine the like terms 8w and 2w
w = 13 ; Divide both sides by the coefficient of w. Which is 10
Answer:
Answer choice d
Step-by-step explanation:
To find the volume of this triangular prism, you first need to find the area of the triangular base. The formula for the area of a triangle is bh/2, which in this case is 3*2/2=3 square units. Multiplying this by the height of the prism, 3.5, you get a total of 10.5 cubic inches, or answer choice d. Hope this helps!