4 congruent kites and connected an inscribed within a rectangle. The rectangle is 4 inches wide and 8 inches long. A greeting ca
2 answers:
Given:
A rectangular greeting card uses a geometric design containing 4 congruent kites.
Consider the below figure attached with this question.
Length of card = 8 inches
Width of card = 4 inches
To find:
The area of one kite.
Solution:
The kites are connected to each other as shown below.
The length of a kite is:
inches
The width of a kite is:
inches
Area of a kite is:
Where, are diagonals of the kite.
Length and width of a kite are 4 inches and 2 inches respectively. So, the diagonals of a kite are 4 inches and 2 inches.
Using the above formula, we get
The area of a kite is 4 sq. in.
Therefore, the correct option is A.
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Answer:
249,900
Step-by-step explanation:
This is called selecting a <u>combination </u>of 4 numbers from 51. In math, it is called a combination because the order you pick them in does not matter.
The formual for this is:
for a combination of 'n' things taken 'r' at a time,
nCr = n! ÷ { r!(n -r)! }
Part of understanding this is knowing what n! means.
It is called "n factorial" and is n * n-1 * n-2 * n-3 * ... until you get down to 3 * 2 * 1.
So 5!, for instance, is 5*4*3*2*1 = 120
For this example,
51 C 4 = 51! ÷ {4! 47! }
If you do this on a calculator, by figururing all the factorials and doing the dividing, you get insanely big numbers for 51! and 47!
Most calculators <u>do </u>have a way to solve these problems without you really doing any of the math, but you should understand the math first.
So you can do it manually, like in the picture I attached.
You should get 5,997,600 ÷ 24 = 249,900
Hope this helps
