Answer:
10.5 cm^2
Step-by-step explanation:
Since we have two sides and the angle between those sides, we can use the alternative area formula:
a and b are the two sides while C is the angle in between the two sides.
Plug in the numbers:
Recall the unit circle. Sin(150) is 1/2.
Answer:
u
Step-by-step explanation:
Solution:-
- Claim : pizza shop deliver in 30 minutes or less or it is free.
- Alternate : People who live in on opposite side of town believe it will take the pizza shop longer than 30 minutes to make and deliver the pizza.
- Sample size taken n = 50 > 30
- The sample mean = 32 mins
- The appropriate symbol for sample mean used in test statistics is (u).
Answer:
B
Step-by-step explanation:
2x5=10
4x5=20
8x5=30
Answer:
1/6
Step-by-step explanation:
The probability of an event happening k times in n trials if the probability of the event is called p is the binomial distribution probability:
P(k times in n trials) = (Ckn)pk(1-p)n-k where the 1st term is the combination of n things k at a time or
n!/(k!(n-k)!)
In this case n is 100, k is 25 and P = 1/6
Hope that helps.
1) We calculate the volume of a metal bar (without the hole).
volume=area of hexagon x length
area of hexagon=(3√3 Side²)/2=(3√3(60 cm)²) / 2=9353.07 cm²
9353.07 cm²=9353.07 cm²(1 m² / 10000 cm²)=0.935 m²
Volume=(0.935 m²)(2 m)=1.871 m³
2) we calculate the volume of the parallelepiped
Volume of a parallelepiped= area of the section x length
area of the section=side²=(40 cm)²=1600 cm²
1600 cm²=(1600 cm²)(1 m² / 10000 cm²=0.16 m²
Volume of a parallelepiped=(0.16 m²)(2 m)=0.32 m³
3) we calculate the volume of a metal hollow bar:
volume of a metal hollow bar=volume of a metal bar - volume of a parallelepiped
Volume of a metal hollow bar=1.871 m³ - 0.32 m³=1.551 m³
4) we calculate the mass of the metal bar
density=mass/ volume ⇒ mass=density *volume
Data:
density=8.10³ kg/m³
volume=1.551 m³
mass=(8x10³ Kg/m³ )12. * (1.551 m³)=12.408x10³ Kg
answer: The mas of the metal bar is 12.408x10³ kg or 12408 kg
