2/3(x-7)=-2
2/3x-14/3=-2
2/3x=-2+14/3
2/3x=-6/3+14/3
2/3x=8/3
3/2(2/3x)=8/3(3/2)
6/6x=24/6
x=4
Answer:
(16 + 8√3) in²
Step-by-step explanation:
The ratio of side dimensions for a 30°-60°-90° triangle are 1 : √3 : 2. If we call the horizontal dimension of the triangle its base, then its height (vertical dimension) will be √3×4 in. Of course the area of the triangle is ...
... A = (1/2)bh = (1/2)(4 in)(4√3 in) = 8√3 in²
The total sod area is the sum of the square area (16 in²) and the triangle area, so is ...
... area to cover = (16 +8√3) in²
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<em>Comment on problem dimensions</em>
The area involved here is not much larger than the size of your hand. It would make more sense for the dimensions to be in feet or yards or meters, rather than inches.
Answer:
73.7
Step-by-step explanation:
14 +14 +23+22.7=73.7
Answer:
(a) t = 1.6766
Step-by-step explanation:
n = 50
degree of freedom = n - 1 = 50 - 1 = 49
confidence level = 90%
The critical value corresponding to 90% confidence level and 49 degrees of freedom is obtained by interpolating between 48 and 50 degrees of freedom (df)
Let the critical value at 49 df be y
dof. critical value
48. 1.677
49. y
50. 1.676
(49 - 48)/(50 - 48) = (y - 1.677)/(1.676 - 1.677)
0.5 × -1×10^-3 = y - 1.677
y - 1.677 = -5×10^-4
y = -5×10^-4 + 1.677 = 1.6765
The closest option is (a)