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Crazy boy [7]
3 years ago
8

Who knows this? I need help ASAP

Mathematics
1 answer:
snow_lady [41]3 years ago
6 0

Answer:

A=674.5cm square

Step-by-step explanation:

First, using pythagoras theorem:

Cos x =2/5-90=66.4

This is angle ACD.

Then 1/2 absinC=1/2(5x4)sin66.4

=664.2cm square

Next, find angle DCB by 90-23.578=66.4

And angle CBD by 180-30-66.4=23.578

Use sin23.578=4.58/H

H=11.45cm(length of d)

Now, use 1/2absinC again to find the area of another part of the triangle.

1/2 11.45x4.5sin23.6=10.31cm square

Lastly add them up!

A=664.2-10.31cm =674.5cm square.

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A playing card has an area of 50 square centimeters and a perimeter of 30 centimeters. What are the dimensions of the playing ca
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The dimensions of playing card is L = 10 centimeter and W=5 centimeter, If the playing card has an area of 50 square centimeter and a perimeter of 30 centimeters.

Step-by-step explanation:

The given is,

                  Playing card has an area of 50 square centimeters

                  A perimeter of 30 centimeters

Step:1

                 A playing card is in the shape of rectangle,

                 Formula for perimeter of rectangle is,

                                      Perimeter, P = 2(l+w) .........................(1)

                 Formula for area of rectangle is,

                                             Area, A= lw......................................(2)

                  Where, l - Length of rectangle

                             w - Width of rectangle

Step:2

                From the given values equation (1) becomes,

                                                       30 = 2(l+w)              

                                                       \frac{30}{2}=(l+w)      

                                                       15 =(l+w)

                                                       w=15-l  .............................(3)

                Width value in terms of length is calculated.

Step:2

                Equation (2) becomes,

                                                      50 = (15-l)(l)

                                                      50= 15l -l^{2}

                                      l^{2}-15l+50=0

              Solving the above equation,

                                                          =10

                                                       l=10 cm

Step:3

                 Equation (3) becomes,

                                                       w=15-l

                                                           =15-10

                                                           =5

                                                     w = 5 cm

Result:

           The dimensions of playing card is L = 10 centimeter and W = 5 centimeter, If the playing card has an area of 50 square centimeter and a perimeter of 30 centimeters.

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