Answer:
Part A: 24 meters
Part B: 33 meters²
Step-by-step explanation:
Part A: We know the length of 4 of the sides. The other two sides are 2 m & 1 m. Now add all of those values up. 3 + 7 + 5 + 6 + 2 + 1 = 10 + 11 + 3 = 21 + 3 = 24 meters. The perimeter of the polygon is 24 meters.
Part B: I'll split this into two rectangles: one is 3 by 7, and the other is 6 by 2. (3 * 7) + (6 * 2) = 21 + 12 = 33 meters². The area of the polygon is 33 meters².
Answer:
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Step-by-step explanation:
8 cos^2 x + 4 cos x-4 = 0
Divide by 4
2 cos^2 x + cos x-1 = 0
Let u = cos x
2 u^2 +u -1 =0
Factor
(2u -1) ( u+1) = 0
Using the zero product property
2u-1 =0 u+1 =0
u = 1/2 u = -1
Substitute cosx for u
cos x = 1/2 cos x = -1
Take the inverse cos on each side
cos ^-1(cos x) = cos ^-1(1/2) cos ^-1( cos x) =cos ^-1( -1)
x = pi/2 + 2 pi n x = pi + 2 pi n where n is an integer
x = 5pi /3 + 2 pi n
Answer:
n = -4
Step-by-step explanation:
You must write and solve a symbolic equation.
n - 6 = 5(n + 2), or
n - 6 = 5n + 10
Combining like terms, we get:
-16 = 4n,
and so n = -4
Answer:
b.
Step-by-step explanation:only reasonable answer if you are subtracting 56 and attempting to estimate to the closest value. my guess, not TOTAL aswer,