Two adjacent sides of a parallelogram are 3473' and 4822', respectively. The
angle between these two sides is 72.23º.
Find the length of the longer diagonal.
D
4822
3473
b
a
A
72.23
C
B
Round to the nearest foot.
Enter

  6748'

Step-by-step explanation:

The long diagonal is the third leg of a triangle with the given side lengths and an angle between them that is the supplement of the given angle. Its length can be found from the Law of Cosines.

  a^2 = b^2 +c^2 -2bc·cos(A)

  a^2 = 3473^2 +4822^2 -2·3473·4822·cos(180° -72.23°)

  a^2 = 45,535,553.83

  a ≈ 6748.004

The longer diagonal is about 6758 feet long.

fahrenheit

step-by-step explanation:

fahrenheit is more precise than celsius. the ambient temperature on most of the inhabited world ranges from -20 degrees fahrenheit to 110 degrees fahrenheit—a 130-degree range. on the celsius scale, that range is from -28.8 degrees to 43.3 degrees—a 72.1-degree range. this means that you can get a more exact measurement of the air temperature using fahrenheit because it uses almost twice the scale.

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.