Answer:
Perimeter = 12+4pi
Area = 16+8pi
Step-by-step explanation:
Description of the assumed shape:
A rectangle 2 x 8 superimposed on a semi-circle of radius 4.
Perimeter:
P = 2+8+2+(4)(pi) = 12+4pi
Area :
A = 2*8 +(pi)4^2/2 = 16 + 8pi
Answer:
angle LXZ is 121°
Step-by-step explanation:
Since the sum of same side interior angles equals 180 you just subtract the angle you're given from 180 (180°-59°=121°)
Answer:
6 mm and 9 mm are the dimensions of the piece of plastic.
Step-by-step explanation:
Keep in mind the formulas for the area and perimeter of a rectangle:
A = lw
P = 2 (l + w)
List the factors of 54:
1, 2, 3, 6, 9, 18, 27, 54
POSSIBLE DIMENSIONS of the piece of plastic:
1 mm and 54 mm:
Area - 54 mm^2
Perimeter - 110 mm
2 mm and 27 mm
Area - 54 mm^2
Perimeter - 58 mm
3 mm and 18 mm
Area - 54 mm^2
Perimeter - 42 mm
6 mm and 9 mm
Area - 54 mm^2
Perimeter - 30 mm
The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.
Hope this helps!
Answer:
D. 5/3
Step-by-step explanation:
simplified
Hope this helps
Answer:
measure of angle ABC is 6 degree.
Step-by-step explanation:
After you found x, you'll plug it in the equation of the angle it's asking for.
Measure of angle ABD, and you know measure of angle ABC = 4x-1.
4(1)-1 = 4-1 = 3
Measure of angle CBD = 2x+1.
2(1) +1 = 3
Measure of angle ABC is ABD + CBD
3 + 3 = 6
