Area = base * height
Height = area / base
Height = base sin x
Where x = angle between side and the base
Answer:
Summary
Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:
Answer:
Explicit formula is 
.
Recursive formula is 
Step-by-step explanation:
Step 1
In this step we first find the explicit formula for the height of the ball.To find the explicit formula we use the fact that the bounces form a geometric sequence. A geometric sequence has the general formula ,
In this case the first term 
, the common ratio 
since the ball bounces back to 0.85 of it's previous height.
We can write the explicit formula as,
Step 2
In this step we find the recursive formula for the height of the ball after each bounce. Since the ball bounces to 0.85 percent of it's previous height, we know that to get the next term in the sequence, we have to multiply the previous term by the common ratio. The general fomula for a geometric sequene is 
With the parameters given in this problem, we write the general term of the sequence as ,
A whole number is a number that has no fractional representation.
Let's test all the options for the value of x.
When dividing a fraction by another fraction, the divisor will be in its reciprocal form.
1. 3/4 × 2/3
= 6/12 = 1/2
1/2 isn't a whole number.
2. 3/4 × 2/1
= 6/4 = 3/2
3/2 isn't a whole number.
3. 3/4 × 6/1
= 18/4 = 9/2
9/2 isn't a whole number.
4. 3/4 × 8/1
= 24/4 = 6
6 is a whole number.
Hence the answer is 1/8.
Hope it helps. :)
