Please help me ASAP

Mathematics

1 answer:

lutik1710 [3]3 years ago

8 0

9514 1404 393

Answer:

30°

Step-by-step explanation:

Consecutive interior angles are supplementary when the lines are parallel:

2x +4x = 180°

x = 180°/6

x = 30°

_____

<em>Comment on units</em>

A lot of times the angles are assumed to be measured in degrees. Using that assumption, x=30 (degrees). When no units are specified, the angle measure defaults to radians. In radians, x = π/6. (We rarely see problems of this nature where the angles are expected to be measured in radians. More often, we see poorly edited questions where angles need to be assumed to be measured in degrees.)

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Identify the relative maximum value of g(x) for the function shown below.<br> G(x)=x^3-3x^2+2

Sunny_sXe [5.5K]

Answer:

To find the relative maximum value of the function we need to find where the function has its first derivative equal to 0.

Its first derivative is -7*(2x)/(x^2+5)^2

7*(2x)/(x^2+5)^2 =0 the numerator needs to be eqaul to 0

2x=0

x=0

g(0) = 7/5

The relative maximum value is at the point (0, 7/5).

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Please show full solutions! Will mark brainliest for the best answers! Thanks. Question is attached.

Rzqust [24]

9514 1404 393

Answer:

a square 175 m on a side

Step-by-step explanation:

Let x and y represent the sides of the rectangle. Then the perimeter is ...

P = 2(x + y) = 700

x + y = 350 . . . . . . . divide by 2

y = 350 -x . . . . . . . . subtract x

The area of the fenced field is ...

A = xy

A = x(350 -x)

This is a quadratic function that has zeros at x = 0 and x = 350. The axis of symmetry is x = (0 +350)/2 = 175. The vertex (maximum area) is on the axis of symmetry, so corresponds to x = 175. The y-value there is ...

y = 350 -x = 350 -175 = 175

That is, the maximum area will be obtained when the fenced area is a square. Each side of the square is 175 m, which is 1/4 of the total length of the fence.

The dimensions of the space are 175 m by 175 m.