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
4x+4y=12
(-4y) (-4y)
4x= 12-4y
Divide 4
12-4y/4= x
I really hope it makes sense
Answer:
m = 32g
Step-by-step explanation:
The proportion between m and g can be written ...
m = kg
where k is the constant of proportionality.
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We can find its value by dividing by g:
k = m/g
Using any pair of corresponding values from the table, we find ...
k = 64/2 = 32
The relationship between m and g can be expressed by the equation ...
m = 32g
Answer:
A) There is a strong relationship showing that as the number of days increases, the height of the plants increases.
Step-by-step explanation:
Because the correlation coefficient of 0.85 is very close to 1, there's going to be a strong, positive linear correlation between the two variables. Therefore, option A is correct.
Step-by-step explanation:
√(m + n) = √m + √n
Square both sides:
m + n = m + 2√(mn) + n
Simplify:
0 = 2√(mn)
mn = 0
The equation is only true if either m or n (or both) is 0.
