1,2, and 3 is the correct answer.
Answer:
Step-by-step explanation:
radius of circle=4
diameter=4×2=8
width=2 half circles means diameter=8
length=2 diameters=2×8=16
area=16×8=128
4 half circles make two circles
area of two circles=2×π r^2=2×π×4²=32 π
reqd . area=128-32 π=32(4-π)
Answer:
x = 62 degrees
Step-by-step explanation:
Since this is a right angle, we can use trig functions
cos theta = adjacent/ hypotenuse
cos x = 3.7/7.9
Taking the inverse cos of each side
cos ^ -1 ( cos x) = cos ^-1 (3.7/7.9)
x =62.07246803
To the nearest degree
x = 62 degrees
Answer:
a = 1/2 (1 ±sqrt(47))
Step-by-step explanation:
a^2-a+12=0
We will complete the square
Subtract 12 from each side
a^2-a+12-12=0-12
a^2-a=-12
The coefficient of a = -1
-Divide by 2 and then square it
(-1/2) ^2 = 1/4
Add it to each side
a^2 -a +1/4=-12 +1/4
(a-1/2)^2 = -11 3/4
(a-1/2)^2= -47/4
Take the square root of each side
sqrt((a-1/2)^2) =sqrt(-47/4)
a-1/2 = ±i sqrt(1/4) sqrt(47)
a-1/2= ±i/2 sqrt(47)
Add 1/2 to each side
a-1/2+1/2 = 1/2± i/2 sqrt(47)
a = 1/2± i/2 sqrt(47)
a = 1/2 (1 ±sqrt(47))
