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charle [14.2K]
3 years ago
8

PLEASE HELP !! it’s for math ...

Mathematics
2 answers:
Vikentia [17]3 years ago
4 0

Answer:

34 degrees, 68 degrees, 78 degrees

Step-by-step explanation:

All angles in a triangle must add up to 180 degrees.

so

x + 2x + 2x + 10 = 180

(group together all the xs)

5x + 10 = 180

(subtract 10 from both sides)

5x = 170

(divide both sides by 5)

x = 170/5 = 34

Angle 1 = x

x = 34

Angle 1 = 34 degrees

Angle 2 = 2x

x = 34

(multiply both sides by 2)

2x = 68

Angle 2 = 68 degrees

Angle 3 = 2x + 10

x = 34

(multiply both sides by 2)

2x = 68

(add 10 to both sides)

2x + 10 = 68 + 10 = 78

Angle 3 = 78 degrees

CHECK YOUR ANSWERS:

All angles in a triangle must add up to be 180 degrees.

so

34 + 68 + 78 should equal 180

34 + 68 + 78 = 180 degrees

Hope this helps :)

vaieri [72.5K]3 years ago
3 0

Answer:

Step-by-step explanation:

sum of angles of a triangle= 180°

x+2x+2x+10=180

5x+10=180

5x=170

x=170/5

x=34

.:

x=34°

2x=34×2=68°

2x+10=2×34+10=68+10=78°

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Answer:

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When the acceleration is 0 we have:

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And if we replace t=2 in the velocity function we got:

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Step-by-step explanation:

For this case we have defined the following function for the position of the particle:

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Part a

From definition we know that the velocity is the first derivate of the position respect to time and the accelerations is the second derivate of the position respect the time so we have this:

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For this case we need to analyze the velocity function and where is increasing. The velocity function is given by:

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So from this we can see that we have two values where the function is equal to 0, t=3 and t=1, since our original interval is 0\leq t\leq 10 we need to analyze the following intervals:

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1

We have a minimum at t=2 since at this value w ehave the vertex of the parabola :

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And at t=-2 v(2) = -3 that represent the minimum for this function, we see that if we select two values let's say 1.5 and 1.75

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2

We see that the function would be increasing.

3

For this interval we will see that for any two points a,b with a>b we have f(a)>f(b) for example let's say a=3 and b =4

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And if we replace t=2 in the velocity function we got:

v(t) = 3(2)^2 -12(2) +9=-3

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