Answer:
width = 15 inches
length = 36 inches
Step-by-step explanation:
To solve you need to find the width...
width = w
length = 2w + 6
the perimeter is all the way around the area, so..
2w + 2(2w + 6) = 102
because there are 2 widths and 2 lengths in a perimeter.
Solve for w:
2w + 4w + 12 = 102
subtract 12 from both sides and combine like terms...
6w = 90
divide both sides by 6...
w = 15
the width = 15, and the length = 2(15) + 6 = 36
The volume of the cone is 2880 m3.
The scale factor is 1/4.
The volume of the cone has the formula (1/3)π r² h.
A scale factor of 1/4 will reduce the dimensions by 1/4 which will result to a total volume reduction of (1/4)³ = 1/64
The new volume will be 45 m3
80 * 250 =20,000
The iPod can hold 250 songs per gigabyte.
Answer:
ntersecting lines DA and CE.
To find:
Each pair of adjacent angles and vertical angles.
Solution:
Adjacent angles are in the same straight line.
Pair of adjacent angles:
(1) ∠EBD and ∠DBC
(2) ∠DBC and ∠CBA
(3) ∠CBA and ∠ABE
(4) ∠ABE and ∠EBD
Vertical angles are opposite angles in the same vertex.
Pair of vertical angles:
(1) ∠EBD and ∠CBA
(2) ∠DBC and ∠EBA