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tekilochka [14]
2 years ago
10

3. Find the measure (in radians) of a central angle of a sector of area 16 in squared a circle of radius 3 inches.

Mathematics
1 answer:
stira [4]2 years ago
3 0

Answer:

α = 3.5 rad

Step-by-step explanation:

α = 2*Area/r^2

α = 2*16 in^2/(3in)^2

α = 3.5555 radians

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PLEASE HELP ME!!!!!!
Nata [24]

9514 1404 393

Answer:

  vertex: (2, -3.2)

  axis of symmetry: x = 2

  zeros: x=0, x=4

  formula for axis of symmetry:

  • x = <x-coordinate of vertex>
  • x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +c
  • x = average of zeros, (z1 +z2)/2

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

__

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

  x = 2

__

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

__

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

  x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

  x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

  x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

  y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

  x = h . . . . . . equation of axis of symmetry

8 0
2 years ago
Solve pls brainliest
oee [108]

Answer:

mixed no. 51/10

Improper fraction 5/1/10

3 0
2 years ago
MATH HELP!!!!!<br><br> If y = 15 when x = 2, what is the value of x when y = 7?
Ede4ka [16]

<u>Direct Variation:</u>  \frac{y}{x} = k

\frac{15}{2} = k

when y = 7:      \frac{7}{x} = \frac{15}{2}

14 = 15x

\frac{14}{15} = x

<u>Inverse variation:</u>   y*x = k

15 * 2 = k

30 = k

when y = 7:      7 * x = 30

x = \frac{30}{7}


3 0
3 years ago
Tamia is collecting boxes to help her friend move. She found a box that is 8 ft wide, 2 ft high, and 4 ft long how much space wo
Arada [10]

Answer: 64\ ft^3

Step-by-step explanation:

Given

The dimension of the box is

\text{width w=}8\ ft\\\text{height h=}2\ ft\\\text{length l=}4\ ft

Space occupied by the box is equal to its volume i.e.

\Rightarrow V=l\times b\times h\\\Rightarrow V=4\times 8\times 2\\\Rightarrow V=64\ ft^3

The volume of the box is 64\ ft^3.

4 0
2 years ago
Say you wanted to give someone 35000 berries, but every time you give someone berries, it takes away 30%. How could you calculat
VladimirAG [237]

Answer:

What I understand is that I need to give someone an exact number so that when 30% is taken, they keep exactly 35,000

To make the statement above true, we would need to divide 35,000 by 7 since the answer would be 10% of the number we need. Once we do this we get 5000 which is 10% now we multiply 5000 by 10 to get 100% and we get 50.000 once we give this amount to the person and 30% is taken away they are left with 35,000

5 0
2 years ago
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