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charle [14.2K]
3 years ago
12

In HIJ∆ determine the measure of H∠ to the nearest degree.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0
Use the law of sines. The sine of the given angle divided by its opposite side is equal to the sine of that unknown angle at the top left divided by the other given side (it's too small for me to read the diagram you provided). And remember, once you have two of the angles, start with 180, subtract the two angles that you do have and you will get the third angle.
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What are the coordinates of the inflection point on the graph of y=(x+1)arctanx
Dennis_Churaev [7]

Inflection point is the point where the second derivative of a graph is zero.

y = (x+1)arctan xy' = (x+1)(arctan x)' + (1)arctan xy' = (x+1)/(x^2+1) + arctan xy'' = (x+1)(1/(1+x^2))' + 1/(1+x^2) + 1/(1+x^2)y'' = (x+1)(-1/(1+x^2)^2)(2x)+2/(1+x^2)y'' = ((x+1)(-2x)+1+x^2)/(1+x^2)^2y'' = (-2x^2-2x+2+2x^2)/(1+x^2)^2y'' = (-2x+2)/(1+x^2)^2

Solving for point of inflection: y'' = 00 = (-2x+2)/(1+x^2)^20 = -2x+2x = 1y(1) = (1+1)arctan(1) = 2 * pi/4 = pi/2

Therefore, E(1, pi/2).


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

5 0
3 years ago
If c+1/d=5 , what is the value of 30d/2c+2
klemol [59]

Answer:

3

d\in R,\hspace{5}d\neq 0

Step-by-step explanation:

You can solve for any variable. From the first equation, let's solve for c :

\frac{c+1}{d} =5\\\\c+1=5d\\\\c=5d-1

Now, replace the value of c into the other equation:

\frac{30d}{2c+2} \\\\\frac{30d}{2(5d-1)+2} \\

Using distributive property

\frac{30d}{10d-2+2} =\frac{30d}{10d} =3

However, keep in mind that this is true for:

d\in R,\hspace{5}d\neq 0

8 0
3 years ago
True or false: f(x) represents a function.<br> A. True <br> B. False
pav-90 [236]

Answer:

A.) True

Step-by-step explanation:

A set of outputs and inputs becomes a function when there is only one output per input. In this case, each "x" value only has one "y" value, making it a function.

8 0
2 years ago
What be is thw word for a number a variable or a product of a number and one or more variables
Xelga [282]

is the question multiple choice? if not I'd go with absolute value


3 0
3 years ago
Felicia wants to tell her Italian friend, Viviana, how cold it gets in the winter where Felicia lives—down to -17°F. Viviana has
nignag [31]
1°F is equal to -17.2222°C, so -17°F times 17.2222°C would be approximately:
-27<span>°C</span>
8 0
3 years ago
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