geno3141

Draw a picture of this rectangle with its diagonals.

This picture contains four triangles. You know that two sides of each of these interior triangles are each 6 cm long. In two of the triangles, the angle contained between these sides is 30° and in the other two triangles, the angle is 150°.

One formula for the area of a triangle is:  Area  =  ½ · a · b · sin(C)  Where  a  and  b  are the lengths of the two sides that contain  ∠C.

So the area of two of the triangles is each:               Area  =  ½ · 6 · 6 · sin(30°) 

while the area of each of the other two triangles is:   Area  =  ½ · 6 · 6 · sin(150°) 

Add these four triangular areas to get the area of the rectangle.

Start by drawing a picture of a rhomus with its diagonals.

The diagonals of that rhombus are perpendicular to each other; therefore, you have a picture that contains 4 congruent right triangles.

Since the diagonals are 6 cm and 8 cm, the sides of each of the right triangles are 3 cm and 4 cm. Calculate the hypotenuses of the right triangles (they are all the same size) and add these four sides together to get the perimeter of the rhombus.

One formula for the area of a parallelogram is:  Area  =  a · b · sin(C)  where  a  and  b  are two consecutive sides of the parallelogram and  ∠C  is the enclosed angle.

One formula for the area of a parallelogram is:  Area  =  a · b · sin(C)  where  a  and  b  are two consecutive sides of the parallelogram and  ∠C  is the enclosed angle.

Area  =  15 · 16 · sin(60°)

The area of a trapezoid can be found by using:  Area  =  ½·h·(b₁ + b₂)

--->   180  =  ½ · h · (16 + 14)

Can you take it from here?

One formula for the area of a parallelogram is:  Area  =  a · b · sin(C)  where  a  and  b  are two consecutive sides of the parallelogram and  ∠C  is the enclosed angle.

Since a rhombus is a type of parallelogram:  Area  =  6 · 6 · sin(42°) 

Since π is an irrational number, it will remain an irrational number if it is multiplied by a non-zero integer (8) and divided by an integer (3).

A rational number is a number that is (or can be placed into) a fraction of integers (but the denominator cannot be zero). Although 8π/3 is a fraction, it is not a fraction of integers.

Instead of "shift log"  use the  10^x  key;  you will see "10^x(" on the display.  

Then enter  0.93  and hit the equal sign.

Set up a proportion:  2.20 / 4  =  x / 1

Cross multiply:                 4x  =  2.20

Divide by 4:                       x  =  0.55

Since 193 is a prime number, the common fraction 193/100000 is in lowest terms.