Pentagons have five sides, so 5x = 20. Only value for x that makes this true is 4, so 4 cm per side.
Answer:
55°
Step-by-step explanation:
sin(x°) =
x° =
Rounded to the nearest degree, the answer is 55°
This problem can be solved by calculating the area of the figure before removing the triangles, then subtracting the combined area of the triangles.
First, we have to find the area of the original composite figure. It appears that the figure consists of a 16 ft by 16 ft square with an 8 ft by 8 ft square cut out:
SA = (16*16) - (8*8)
SA = 256 - 64
SA = 192
The ORIGINAL area of this composite figure is 192 ft². Now we have to find the area of the removed triangles. Triangle area is found using half base times height. The base and height of each triangle appears to be 8, so we can plug in :
The area of each triangle is 32 ft
². Finally, we should subtract the 3 triangles' area from the composite figure's area:
SA - 3(TA)
192 - 3(32)
192 - 96
96
The shaded region's area is 96 ft².
13000000=10000000 (1+0.03)^t
Solve for t
T=log(13,000,000÷10,000,000)÷log(1+0.03)
t=8.9 years round 9 years
Answer:
4
Step-by-step explanation:
f(g(2)) means "put 2 into g(x) and then take that answer and put it into f(x)"
Given:
and
Now, let's find g(2) first:
g(x) = x - 1
g(2) = 2 - 1
g(2) = 1
Now, lets put this into f(x). So we have:
That is f(g(2)) = 4