The sum of the angles in a triangle is 180 degrees, so
x = 180 - 95 - 57 = 28°
V = pi * r^2 *h
where r is the radius and h is the height of the cylinder
V = pi * 7^2 *4
V = pi* 49*4
pi is approximated by 3.14 or 22/7
V = 22/7 * 49 * 4
V = 616 units ^3
Y/x=k 48/8=6=k k is the constant y/4=6 y=24
Answer:
A
Step-by-step explanation:
Recall that for a quadratic equation of the form:
The number of solutions it has can be determined using its discriminant:

Where:
- If the discriminant is positive, we have two real solutions.
- If the discriminant is negative, we have no real solutions.
- And if the discriminant is zero, we have exactly one solution.
We have the equation:

Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.
In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

Substitute:

Solve for <em>k</em>. Simplify:

Solve:

Thus, our answer is indeed A.