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ira [324]
3 years ago
5

Triangle angle- sum theorem help!!!​

Mathematics
2 answers:
PIT_PIT [208]3 years ago
8 0

Answer:

222555413`125431534

Step-by-step explanation:

ella [17]3 years ago
4 0

9514 1404 393

Answer:

  s = 2°

Step-by-step explanation:

The triangle sum theorem tells you the sum of angles in a triangle is 180°. This fact can be used to write an equation that can be solved for s.

  s +38° +34s +72° = 180°

  35s = 70° . . . . . . . . . . . . . subtract 110°

  s = 2° . . . . . . . . . . . . . divide by 35

_____

<em>Check</em>

The triangle angle measures are (s+38°) = 40°, 34s = 68°, and 72°. These total 180°, as they should.

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Evaluate the indefinite integral. (Use C for the constant of integration.) sin(10x) 1 cos2(10x) dx
Schach [20]

Answer:

The result of the integral is -\frac{\cos^3{10x}}{30} + C

Step-by-step explanation:

We are given the following integral:

\int \sin{(10x)}\cos^{2}{(10x)} dx

I am going to solve by substitution, using u = \cos{10x}, so du = -10\sin{10x}dx, dx = -\frac{du}{10\sin{10x}}. So, we have

-\frac{1}{10} \int u^2 du

Which has the following result:

-\frac{u^3}{30} + C

Going back to x, the result of the integral is

-\frac{\cos^3{10x}}{30} + C

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3 years ago
What are the solutions of 4x2 - 8x +5 = 0 ?
MrRissso [65]

Answer:

x= {2+ i}/2 , {2- i}/2 = C

Step-by-step explanation:

4x² - 8x +5 = 0

using quadratic formula

x= {-b±√b²-4ac}/2a

x= [-(-8)±√(-8)²-4(4)(5)] /2x4 = [8±√64-80]/8= [8±√-16]/8 = {8±4 i}/8

x= {8+4 i}/8 , {8-4 i}/8

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How do you create an expression where the distributive property needs to be applied.
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3 years ago
What is the equation, in standard form of the parabola that contains the following points? (-2,18), (0,2), (4,42)
Vladimir79 [104]

Answer: y = 3x^{2} - 2x + 2

Step-by-step explanation:

The equation in standard form of a parabola is given as :

y = ax^{2}  + bx + c

The points given are :

( -2 , 18 ) , ( 0,2) , ( 4 , 42)

This means that :

x_{1} = -2

x_{2} = 0

x_{3} = 4

y_{1} = 18

y_{2} = 2

y_{3} = 42

All we need do is to substitute each of this points into the equation , that is , x_{1} and y_{1} will be substituted to get an equation , x_{2} and y_{2} will be substituted to get an equation and x_{3} , y_{3} will also be substituted to get an equation also.

Starting with the first one , we have :

y = ax^{2}  + bx + c

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Therefore :

4a - 2b + c = 18 ................ equation 1

substituting the second values , we have

2 = a (0) + b ( 0) + c

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also substituting the third values , we have

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16a + 4b + c = 42  ........... equation 3

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