Answer:
three sides measuring 4 ft, 8 ft, and 10 ft
Step-by-step explanation:
To choose which dimensions that can create more than one triangle, we consider the given values carefully and how possible it will be to construct.
The only dimensions given in the option that will be possible to create more than one triangle from it, is three sides measuring 4 ft, 8 ft, and 10 ft.
4 ft, 8 ft, and 10 ft are in simple multiple of 2
4 ft, 8 ft, and 10 ft = 2 (2 ft, 4 ft, and 5 ft ), with this we can construct two triangles with three sides measuring 2 ft, 4 ft, and 5 ft.
Jade can make 403 necklaces.
1/5 of 121024 = 1/5(121024) = 0.2(121024) = 24204.8 = 24204 glass beads
1/10 of 121024 = 1/10(121024) = 0.1(121024) = 12102.4 = 12102 pony beads
To find the number of marbled beads, we add the fraction of the other two kinds together:
1/5 + 1/10
We will use 10 as the denominator:
2/10 + 1/10 = 3/10
The fraction that the marbled beads represents will make up 100%, or the whole number 1:
1-3/10 = 7/10
7/10 of 121024 = 7/10(121024) = 0.7(121024) = 84716.8 = 84716 marbled beads
Since it takes 20 glass beads to make a necklace, we divide the number of glass beads, 24204, by 20:
24204/20 = 1210 necklaces
It takes 30 pony beads to make a necklace. We divide the number of pony beads, 12102, by 30:
12102/30 = 403 necklaces
It takes 50 marbled beads to make a necklace. We divide the number of marbled beads, 84716, by 50:
84716/50 = 1694 necklaces
We must go with the smallest number, in order to ensure we have enough beads; this means she can make 403 necklaces.
We need to find the height of the cylinder
pythagorean theorem
15 is the bottom leg (30/2=15)
17 is hypotonuse
b=height
15^2+b^2=17^2
225+b^2=289
minus 225 both sides
b^2=64
sqrt both sides b=8
Vcone=(1/3)hpir^2
d/2=r=30/2=15
h=8
V=(1/3)8pi15^2
V=(1/3)8pi225
V=8pi75
V=600pi
aprox pi=3.14159256
V=1884.955536 in^3
round if nececary
Answer:
684 tickets were sold for each performance
Step-by-step explanation:
8,208 divided by 12 = 684
