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enyata [817]
3 years ago
6

What are the values of m and 0 in the diagram below?

Mathematics
1 answer:
Lelu [443]3 years ago
7 0

Answer:The correct answer is m= and θ = 30º.

Step-by-step explanation:First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is  and the angle is theta.

First, we calculate the angle with theta's breast:

sin (θ) =  

where H is the hypotenuse, in this case, the radio.

θ =  ()

θ = 30º

Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:

cos (θ) =  

m = cos 30º * H

m =  

m =  

Have a nice day!

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cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r
iragen [17]

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

                 Volume of cylindrical vase = 8038.4 cubic centimeters

                 Height of the cylindrical vase = 40 centimeters

Step:1

                Formula for volume of cylindrical vase,

                                     Volume, V=\pi r^{2} h......................(1)

               Where, r - Radius of cylindrical vase

                           h - Height of cylindrical vase  

                From the given,

                                      V = 8038.4 cubic centimeters

                                      h = 40  centimeters  

                Equation (1) becomes,

                             8038.4 = \pi r^{2}  40

                                          =(3.14)(40)r^{2}                               (∵ \pi = 3.14 )

                               8038.4 = 125.6 r^{2}

                                      r^{2} = \frac{8038.4}{125.6}            

                                       r =\sqrt{64}

                                       r = 8 centimeters

Result:

           The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

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3 years ago
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Answer:

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The total number of books is 2 + x.

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