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makkiz [27]
3 years ago
9

What will be the measure of exterior angle of regular pentagon give reason of you answer

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0

Answer and Step-by-step explanation:

We~know~that~a~pentagon~has~5~sides. So, to~find~ each~exterior~angle~of~a~regular~pentagon,we'll~have~to~use~the~formula which~is:

\frac{350}{number~of~sides}

Now,~that~we~know~to~use~the~formula~let's~answer~your~question.

\frac{360}{5}= 72

Now,72~is~the~angle~for~each~exterior~angle.~To~check~whether~it's correct~multiply~72~by~5~you'll~get~it~as~360.~So~it's~the~correct~answer!

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The distributions of X and of Y are described here. If X and Y are independent, determine the joint probability distribution of
max2010maxim [7]

Answer:

The joint probability distribution of X and Y is shown below.

Step-by-step explanation:

The distributions of X and of Y are described as follows:

    X :    0           1

P (X) : 0.23      0.77

     Y :    1            2          3

P (Y) : 0.40     0.22     0.38

It is provided that X and Y are independent.

That is:

P (X ∩ Y) = P (X) × P (Y)

Compute the joint probability distribution of X and Y as follows:

P(X=0,Y=1)=P(X=0)\times P(Y=1)=0.23\times 0.40=0.92\\\\P(X=0,Y=2)=P(X=0)\times P(Y=2)=0.23\times 0.22=0.0506\\\\P(X=0,Y=3)=P(X=0)\times P(Y=3)=0.23\times 0.38=0.0874\\\\P(X=1,Y=1)=P(X=1)\times P(Y=1)=0.77\times 0.40=0.308\\\\P(X=1,Y=2)=P(X=1)\times P(Y=2)=0.77\times 0.22=0.1694\\\\P(X=1,Y=3)=P(X=1)\times P(Y=3)=0.77\times 0.38=0.2926

      X       0                  1

<u>Y                                              </u>

1           0.9200        0.3080

2          0.0506        0.1694

3          0.0874         0.2926

6 0
3 years ago
A blimp is 1500 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those
grigory [225]
Let stadium 1 be the one on the left and stadium 2 the one on the right.

Angle above stadium 1 is 72.9° and the angle above stadium 2 is 34.1° using the angle property of alternate angles(because both the ground and the dotted line are parallel).

For the next part we need to use the trigonometric function of tangent.

As tan x = opposite / adjacent,
Tan 72.9°=1500/ adjacent ( the ground from O to stadium 1)

Therefore the adjacent is 1500/tan 72.9°= 461.46 m( to 5 s.f.)

Same for the next angle,
Tan 34.1°=1500/ adjacent ( the ground from O to stadium 2)

Therefore, the adjacent is 1500/tan 34.1° = 2215.49 m (to 5 s.f.)

Thus, the distance between both stadiums is 2215.49-461.46= 1754.03 m

Correcting the answer to whole number gives you 1754 m which is the option C.
4 0
3 years ago
What is |–93|?<br> i need help
Angelina_Jolie [31]

Answer:

93

Step-by-step explanation:

The absolute value of any number will always be positive. Therefore, it is automatically 93.

5 0
3 years ago
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