Answer:
A. 82°
B. 144°
C. 75°
D. 150°
E. 241°
F. 80°
Step-by-step explanation:
A circle is 360°
A. 360 - 278 = 82 °
B. 360 - (124 + 92) = 144 °
C. 360 - (255 + 30) = 75 °
D. 360 - (118 + 30 +62) = 150 °
E. 360 - (21 +41 + 57) = 241 °
F. 360 - (30 + 60 + 80 + 110) = 80°
Also, the 80° is congruent so it's the same on both sides.
Answer:
y" = -24 / y³
Step-by-step explanation:
6x² + y² = 4
Take the derivative of both sides with respect to x.
12x + 2y y' = 0
Again, take the derivative of both sides with respect to x.
12 + 2y y" + y' (2y') = 0
12 + 2y y" + 2(y')² = 0
Solve for y' in the first equation.
2y y' = -12x
y' = -6x/y
Substitute and solve for y":
12 + 2y y" + 2(-6x/y)² = 0
12 + 2y y" + 2(36x²/y²) = 0
12 + 2y y" + 72x²/y² = 0
6y² + y³ y" + 36x² = 0
y³ y" = -36x² − 6y²
y" = (-36x² − 6y²) / y³
Solve for y² in the original equation and substitute:
y² = 4 − 6x²
y" = (-36x² − 6(4 − 6x²)) / y³
y" = (-36x² − 24 + 36x²) / y³
y" = -24 / y³
Answer:
the index of 2 is -1
Step-by-step explanation:

=
=
Answer:
ANSWER:D
Step-by-step explanation:
Sana maka help
Step-by-step explanation:
The formula for arc length [for the angle in degrees] is:

here,
= degrees
= radius
using this we'll solve all the parts:
r = 10, n = 20:


from here, it is just simplification:
2 and 360 can be resolved: 360 divided by 2 = 180

10 and 180 can be resolved: 180 divided by 10 = 18

finally, both 20 and 18 are multiples of 2 and can be resolved:

Option (E)
r=3, n=6:


Option (D)
r=4 n=7


Option (C)
r=2 n=x


Option (D)
r=y n=x


Option (E)