Answer:
(3,2)
Step-by-step explanation:
2x+3y=12
substitute x with 3 because x=3
2(3)+3y=12
multiply
6+3y=12
(subtract 6 from both sides)
3y=6
(divide by 3 on both sides)
1y=2
x = 3 and y = 2
The cross-section is a rectangle. Its height is the same as the height of the prism, while its length is not necessarily the same but certainly perpendicular to the height.
Answer:
<BCD = 128, <ECD = 52
Step-by-step explanation:
(3x + 5) + (x + 11) = 180
4x + 16 = 180
4x = 164
x = 41
<BCD is complimentary to <ACE which is (3x + 5). (3 * 41 + 5) = 128
<ECD is complimentary to <ACB which is (x + 11). (41 + 11) = 52.
Answer:
π(5²)(13)+⅓π(5²)(12)
Step-by-step explanation:
You can find the volume of the cylinder by:
V=πr²h
which is V1=π(5²)(13)
and the volume of the crooked cone by:
⅓πr²h
which is V2=⅓π(5²)(12)
and you need the volume of the whole shape. you can find by adding V1+V2
Answer: 192 books
Step-by-step explanation:
2/3 + 1/4 = 11/12
16 remaining books = 1/12
16 x 11 = 176
176 + 16=192
