A = area of the circle
A = pi*r^2
A = pi*11^2
A = 121pi
-----
B = area of the rectangle
B = length*width
B = 6*4
B = 24
-----
C = blue shaded area
C = A - B
C = 121pi - 24 which is the exact area in terms of pi
C = 356.1327 is what you'd get if you used a calculator
C = 356.13 is the result after rounding to the nearest hundredth
<h3>The final answer is 356.13</h3>
Answer:
D. Subtract 4 from both sides
Explanation:
I just learned about quadratic equations in school. The first step of solving quadratic equations is to make sure it is in standard form and equal to 0.
Standard form:
ax^2 + bx + c = 0
Answer:
5.83 or E
Step-by-step explanation:
Use Pythagorean theorem. 5^2+3^2=c^2 because the diameter is perpendicular it cuts the chord in half.
25+9=c^2
34=c^2
5.83
Answer:
the answer is A because if it is raised to the power greater than one and is added it will be greater than1
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
