Answer:
3rd one and last one
Step-by-step explanation:
First one:
4 × 3 × 4 = 48
Second one:
1 × 2 × 4 = 8
Third one:
2 × 3 × 5 = 30
Fourth one:
2 × 5 × 4 = 40
Fifth one:
2 × 2 × 4 = 16
Process of elimination:
The first one is itself greater than 47 units³, so this is definitely not one of the two;
A combination of the fourth prism and the smallest one as the second will give a volume of 48 units³, which is greater than 47 so this prism is also not one of the two we are looking for;
This leaves the second, third and fifth;
The second and third sum to 38, which is less than 42 so it is not the correct combination;
Similarly, the second and last gives only 24 so it is not the correct combination;
This leaves the only remaining option of the third and fifth;
30 + 16 = 46, which confirms this to be the correct combination.
Constant: 3x;linear: -6; quadratic: 4x2
Answer:
Answer is 18
Step-by-step explanation:
18x3=54
54+54=108
18+2=20
20+20=40
108+40=148
Answer:
- π/3 radians, 3600 English minutes
- π/6 radians, 333,333 1/3 French seconds
Step-by-step explanation:
An English minute is (1/60)(π/180) radian = π/10800 radian.
A French second is (1/100)(1/100)(π/200) radian = π/2000000 radian.
So, the ratio of angle sizes in common units will be ...
27(π/10800) : 2500(π/2000000) = (2/800) : (1/800) = 2 : 1
Since the total of these ratio units is 2+1 = 3, we need to divide the right angle into 3 parts. The English part will be 2 of those; the French part will be 1 of them. A 1/3 part of a right angle is π/6 radians, so the right angle division will be ...
English : French = π/3 radians : π/6 radians
= 3600 English minutes : 333,333 1/3 French seconds
= 27 : 2500
