# Two rhombuses have sides with lengths of #4 #. If one rhombus has a corner with an angle of #(7pi)/12 # and the other has a corner with an angle of #(3pi)/8 #, what is the difference between the areas of the rhombuses?

Difference in areas between two rhombus = 4.9947

Diagonals bisect each other at right angles.

Diff. in areas between the Rhombus = 6.2925 - 1.2978 = 4.9947#

By signing up, you agree to our Terms of Service and Privacy Policy

To find the area of a rhombus, you can use the formula: Area = (diagonal1 * diagonal2) / 2.

First, let's find the diagonals of the rhombuses. Since all sides of a rhombus are equal, the diagonals bisect each other at right angles, forming four congruent right-angled triangles.

Using trigonometry, we can find the lengths of the diagonals.

For the rhombus with the angle (7π)/12:

The diagonal forms two right-angled triangles with angles (7π)/12 and (5π)/12 (since the sum of angles in a triangle is π radians). Using trigonometric functions, we can find the length of the diagonal.

For the rhombus with the angle (3π)/8:

The diagonal forms two right-angled triangles with angles (3π)/8 and (5π)/8. Using trigonometric functions, we can find the length of the diagonal.

Once we have the lengths of the diagonals for both rhombuses, we can plug them into the area formula to find the areas of each rhombus. Then, we subtract one area from the other to find the difference.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- If a shape is called a rhombus, then is it automatically also called a kite. why or why not?
- Two rhombuses have sides with lengths of #9 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #pi/3 #, what is the difference between the areas of the rhombuses?
- A parallelogram has sides with lengths of #16 # and #9 #. If the parallelogram's area is #120 #, what is the length of its longest diagonal?
- Two opposite sides of a parallelogram have lengths of #3 #. If one corner of the parallelogram has an angle of #pi/12 # and the parallelogram's area is #14 #, how long are the other two sides?
- A parallelogram has sides with lengths of #16 # and #9 #. If the parallelogram's area is #21 #, what is the length of its longest diagonal?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7