Answer:
Pair 1: 10 cm and 2 cm. and the sum is 12 cm.
Pair 2: 20 cm and 4 cm. and the sum is 24 cm.
Step-by-step explanation:
Area of a rectangle is given by A = LW, where L is the length and W is the width of the rectangle.
Pair 1:
For the first rectangle W = 4 cm and A = 40 sq, cm
Then
cm.
For the second rectangle W = 4 cm and A = 8 sq, cm
Then
cm.
Therefore, the sum of two unknown lengths = 10 + 2 = 12 cm. (Answer)
Pair 2:
For the first rectangle W = 4 cm and A = 80 sq, cm
Then
cm.
For the second rectangle W = 4 cm and A = 16 sq, cm
Then
cm.
Therefore, the sum of two unknown lengths = 20 + 4 = 24 cm. (Answer)
(4x100)+(1x10)+(2x1)+(6x1/10)+(3x1/100)+(8x1/1000)
Answer:
A whole number first term to render as fifth term a value larger than 10000, should be at least 121
Step-by-step explanation:
The formula is given as recursive since it involves the previous number of the sequence, and defined as:

we also know that the first term is 4
Then in this case, the first five terms are:

So if we want to find the first term in the case that the fifth one is greater than 10,000 using this recursive formula, now we have to start backwards, and say that the fifth term is "> 10000" and what the fourth one is.
Notice that if you have this definition for the nth term, we can obtain from it, what the previous term is to find the general rule:

So the rule is to subtract 6 from he term, and divide the subtraction by 3. Then working backwards:

therefore, the starting first term should be at least about 121 to give a fifth term larger than 10,000
Answer:
sqrt(146)
Step-by-step explanation:
The distance between these two points can be the hypotenuse of our right triangle.
We can create a right triangle with two legs of length 11 and 5. To solve for the hypotenuse, we apply the pythagorean theorem
sqrt(5^2+11^2)=sqrt(146)
I attached a graph to help you visualize the triangle and how it works.