Answer:
The value of y is 14.
Step-by-step explanation:
To find this, we first can replace the angle written as 2x with 50. Since the sides leading to that point are congruent, we know that they have the same angle.
Now given that fact, we can put the 2 - 50s along with the final angle and set equal to 180 (the measure of the combined angles in all triangles).
50 + 50 + 5y + 10 = 180
110 + 5y = 80
5y = 70
y = 14
Substitute the known values of p p and k k into the formula and simplify. Use the properties of the parabola<span> to analyze and </span>graph the parabola<span>. Select a few x x values, and plug them into the equation to find the corresponding </span>y y<span> values. The x x values should be selected around the vertex.</span>
Answer:
C. -8
Step-by-step explanation:
We have to solve the inequality by isolating x.
-5x - 12 < 33
Add 12 to both sides.
-5x < 45
Divide both sides by -5 (remember to flip the sign when dividing by a negative).
x > -9
The least possible value for x that satisfies this inequality is -8.
-The area of A is 647 beacuase 16*12 is 192 and 13*35 is 455 and 455+192 is 647.The perimeter is A is 120 because 16+25+12+19+35+13 is 120.
-The area of B is 192 because 8*12+8*12 is 192.The perimeter of B is 70 because 8+12+8+7+8+12+8+7 is 70.
Answer:
The rate of change of volume of the cone with respect to radius is .
Step-by-step explanation:
radius of come = r
height of cone = h
Volume of cone
As the height is constant, the rate of change of volume with respect to radius is given by the derivative of volume with respect to radius.