Answer:
6²
Step-by-step explanation:
Use the rule of exponents ...
(a·b)^c = a^c·b^c
Your expression has a=3, b=2, c=2.
3²·2² = (3·2)² = 6²
_____
If you want to get more sophisticated than that, logarithms can get involved.
Step-by-step explanation:
Equating,
Placing it,
Answer:
Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°
Step-by-step explanation:
To find the measure of Angle a, we add 55 and 45, then subtract the sum from 180.
180 - 100 = 80
Angle a is 80°.
Then, we solve for Angle b. Line segment CD is congruent to Line AB, so Angle b is congruent to 55°.
After that, we find Angle c. Line segment AC is congruent to Line segment BD, so Angle c is congruent to 45°.
Lastly, we solve for Angle d using the same method we used for Angle b and Angle c. Angle d is congruent to Angle a, so it measures 80°.
So, Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°.
#2:
Find the total surface area of the capped cylinder.
2 times the area of the base would be 2[pi*(3 cm)^2, or 18pi.
The circumference of the base is C = 2pi*r, which here is 6pi.
The area of the sides is C times height, or 6pi*(11 cm) = 66pi cm^2
Add this to the 18pi cm^2 previously found.
Total area of cylinder, including top and bottom, is 84 cm^2.
Answer:
$555.51
Step-by-step explanation:
511.99 + 8.5%(43.52) = 555.51
