Answer:
She can make 16 necklace and beads left 4
Step-by-step explanation:
Emma has 148 beads
Each necklace has 9 beads
148 ÷9 =16. 44 necklace
16 necklace
Beads left
16 *9
144
148 - 144
4 beads left
Diameter(d)=8 in.
radius(r)= d/2= 4 in.
height(h)= 3r = 3(4) = 12 in.
Volume=
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
<u /><em>
r </em>²
<em>h
=</em>(3.14)(4)²(12)
=(3.14)(16)(12)
=602.88 in.
Therefore, the volume of the cylinder is 602.88 in.
Answer:
x = 19
Step-by-step explanation:
∠ YWX = ∠ ZYW = 2x ( alternate angles )
The sum of the 3 angles in Δ WXY = 180° , that is
3x - 5 + 2x + 90 = 180
5x + 85 = 180 ( subtract 85 from both sides )
5x = 95 ( divide both sides by 5 )
x = 19
The ratio of height : shadow =44/1313
Therefore height of the tree,x=3434*(44/1313)
=115.08 ft
If you meant 13 and 34 as the length of shadows respectively, then also x=115.08 ft