Let L, H, W be the length, height, and width.
Using the 3 clues they gave us, we have:
L x W = 12
L x H = 8
W x H = 6
Our goal is to figure out volume: L x W x H
One way of solving this is to just randomly plug in numbers which should be easy to do for this problem.
Another way is to use substitution.
From first equation: L = 12/W
Plug that into second equation:
12/W x H = 8,
H = (8/12)W = (2/3)W
Plug that into the third equation:
W x (2/3)W = 6,
W x W = 9
W must be equal to 3.
And since we know that L x H = 8
Then L x H x W = (8) x 3 = 24 cm^3
A) because it is the probability of something happening given that another event has occured
Answer:
9.106
Step-by-step explanation:
The circumference of a circle with a given diameter is:
We are given the diameter of 2.9 units.
Using 3.14 for pi:
The circumference is about 9.106 units.
Answer:
- height: 9 chi 6 cun
- width: 2 chi 8 cun
Step-by-step explanation:
The factor-of-ten relationship between the different units means we can combine the numbers in decimal fashion. If 1 unit is 1 zhang, then 1 chi is 0.1 zhang and 1 cun is 0.01 zhang. Hence 6 chi 8 cun is 0.68 zhang.
Let x and y represent the width and height, respectively. In terms of zhang, we have ...
y - x = 0.68
x^2 +y^2 = 1^2
Substituting y = 0.68 +x into the second equation gives ...
x^2 + (x +0.68)^2 = 1
2x^2 +1.36x - 0.5376 = 0 . . . . . eliminate parentheses, subtract 1
Using the quadratic formula, we have ...
x = (-1.36 ±√(1.36^2 -4(2)(-0.5376)))/(2·2) = (-1.36 ±√6.1504)/4
x = 0.28 . . . . . the negative root is of no interest
y = 0.28 +0.68 = 0.96
In units of chi and cun, the dimensions are ...
height: 9 chi 6 cun
width: 2 chi 8 cun
Answer:
i think (B) but i am not sure