Tan^-1[cos(pi)] find the exact value without calculator
1 answer:
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Answer:
- m ≈ 8.165
- b ≈ 2.299
Step-by-step explanation:
It is convenient to let technology help out. Some graphing calculators will accommodate a model of your choice. Others are restricted to particular models, of which yours may not be one.
A spreadsheet solver may also offer the ability to optimize two variables at once. For that, you would write a function that gives the sum of the squares of the differences between your data points and those predicted by the model. You would ask the solver to minimize that sum.
If you want to do this "the old-fashioned way," you would write the same "sum of squares" function and differentiate it with respect to m and b. Solve the simultaneous equations that make those derivatives zero. (My solver finds multiple solutions, so the neighborhood needs to be restricted in some way. For example m > 0, b > 0, or sum of squares < 1.)
Answer:
The answer is below
Step-by-step explanation:
The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.
Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x
The nephew height is doubled, therefore his new height is 2y.
Given that Keith is now 34 cm taller than his nephew
1.16x = 2y + 34
but x = (15/7)y
The nephews new height = 2y = 2(70) = 140 cm
Keith new height = 2y + 34 = 140 + 34 = 174 cm
Their total current height = 140 cm + 174 cm = 314 cm