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3 years ago

I need help for this problem.

Mathematics

2 answers:

Lelechka [254]3 years ago

7 0

Answer:

Step-by-step explanation:

Equation

12x + (8x + 5) + 15x = 180 All triangles have 180o for their interior angles.

12x + 8x + 5 + 15x = 180 Combine like terms on the left

35x + 5 = 180 Subtract 5 from both sides

35x =175 Divide by 35

x = 5

It's not clear what you want. x = 5 is one possibility

12x = 60

15x = 75

8x+5=45

is another possiblity

Harrizon [31]3 years ago

3 0

Answer:

Step-by-step explanation:

12x+15x+8x+5=180 degree(being sum of interior angles of a triangle)

35x=180-5

x=175/35

x=5

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netineya [11]

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Value of the limit is 0.5.

Step-by-step explanation:

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$F(x)=\frac{e^x-1-x}{x^2}$

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$x=1,F(1)=frac{e^1-1-1}{1}=e-2=0.718281$

$x=0.5, F(0.5)=\frac{e^0.5-1-0.5}{(0.5)^2}=0.594885$

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$x=0.01, F(0.01)=\frac{e^0.01-1-0.01}{(0.01)^2}=0.501670 \hfill (1)$

Correct upto six decimal places.

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$\lim_{x\to 0}F(x)=\lim_{x\to 0}\frac{e^x-1-x}{x^2}$ $(\frac{0}{0})$ form, applying L-Hospital rule that is differentiating numerator and denominator we get,

$\lim_{x\to 0}F(x)$

$=\lim_{x\to 0}\frac{e^x-1}{2x}$ $(\frac{0}{0})$ form.

$=\lim_{x\to 0}\frac{e^x}{2}=\frac{1}{2}=0.5\hfill (2)$

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