Answer:
Option c) 118 is correct
That is
Step-by-step explanation:
Given problem can be written as
To find the sum of the series:
First expand the given series
(adding the terms)
(adding the terms)
Therefore
Therefore option c) 118 is correct
That is
The evaluated sum is 118.
Answer:
5.0
Step-by-step explanation:
The data in order looks like so:
98.6, 99.7, 100.2, 101.8, 102.9, 103.6
Take the greatest value and subtract it from the least value to get the range of the data:
103.6-98.6=5
5 is your answer
Hope this helps!
Answer:
d. 1/4
Step-by-step explanation:
The common ratio will be the ratio of any two adjacent terms:
(3/12)/(3/3) = (1/4)/1 = 1/4
Let's take l and w as the length and the width of the rectangle.
According to the given information the length is 3 less than twice the width:
And the area, which is the product of the length times the width is 14. Using the equation above, we can re write the formula for the area, this way:
Now, we have to solve the quadratic equation using the quadratic formula:
w has 2 values, but for this context, the logic value is 7/2. It means that the width of the rectangle is 7/2.
Now, we can use this value and the first equation to find the length:
The length of the rectangle is 4 and the width is 7/2.
Answer:
6√2.
Step-by-step explanation:
Triangles CDE and DBE are similar.
Therefore:
a / 18 = 4 / a
a^2 = 4*18
a^2 = 72
a^2 = 36*2
a = √36*√2
a = 6√2.