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3 years ago

Identify the vertex the axis of symmetry ,maximum,minimum and range

Mathematics

1 answer:

RoseWind [281]3 years ago

5 0

Vertex = 1,4
range = ( infinity, 4)
maximum

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Find the sum (the total measure) of the interior angles of an Octagon. Show all of your work

tatiyna

One way to do this is use the fact that the exterior angles of all polygons add up to 360 degrees
So an exterior angle of a regular octagon = 360 / 8 = 45 degrees.
So each interior angle = 180 - 45 = 135 degrees

so total measure of all angles in octagon = 8 * 135 = 1080 degrees

4 0

4 years ago

Read 2 more answers

20 points for this question:<br><br> Find the domain.

Yuliya22 [10]

Answer:

The Domain D = {y ∈ R / y ≠ $\dfrac{b}{2}$ y ≠ 0}

Step-by-step explanation:

Let ,

f(y) = $\dfrac{b^{2} - 4by }{2y^{2} - by }$ - $\dfrac{4y}{b-2y}$

The above function would be defined only when the denominator of anyone or both the terms of the function do not become 0 -

$2y^{2} - by$ ≠ 0 and b - 2y ≠ 0

∴ y(2y - b) ≠ 0 and y ≠ $\dfrac{b}{2}$

Either y ≠ 0 or y ≠ $\dfrac{b}{2}$

∵ The domain of a function consists of only those points where the function is defined -

The Domain D consists of all y ∈ Real numbers such that y ≠ 0 and y ≠ $\dfrac{b}{2}$

7 0

4 years ago

A cutting tool fails due to flank wear while machining. It is observed that the tool life at a cutting speed of 160 m/min is 5 m

Ahat [919]

Answer:

The answer is:

30 minutes.

Step-by-step explanation:

We are given the following information:

at 160 m/min, tool life = 5 min.

at 120 m/min, tool life = 17 min.

This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:

speed = 160 - 120 = 40 m/min

tool life = 17 - 5 = 12 min.

Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.

40 m/min = 12 min

∴ 1 m/min = 12/40 min.

∴ 100 m/min = 12/40 × 100 = 0.3 × 100 =30 min.

8 0

3 years ago

You have a hemisphere with a volume of 6. What is the surface area with a sphere with the same diameter. Round to the nearest th

Vikki [24]

Answer:

(the volume of the hemisphere has no units, so i will suppose that it is 6m^3)

For a sphere of radius R, the volume is:

V = (4/3)*pi*R^3

Where pi = 3.14

And a hemisphere is half of a sphere, then the volume of a hemisphere of radius R is:

V = (1/2)*(4/3)*pi*R^3

We know that the volume of the hemisphere is 6 m^3, then we have the equation:

6 m^3 = (1/2)*(4/3)*3.14*R^3

Now we can solve this for R.

6 m^3 = 2.1*R^3

∛(6 m^3/2.1) = R = 1.41 m

The radius of the hemisphere is 1.41m

Now we want to find the surface of a sphere with this radius (if the radius is the same, then the diameter is the same)

For a sphere of radius R, the surface is:

S = 4*pi*R^2

Then the surface of this sphere is:

S = 4*3.14*(1.41 m)^2 = 24.971 m^2

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3 years ago

At the Planetarium, tickets cost $10 for adults and $5.50 for kids under 12. How

Bezzdna [24]

Answer:

I do not understand 1234

Step-by-step explanation:

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3 years ago