Answer:
x = 25
Step-by-step explanation:
To find the value of x we use the formula:
tan x° = opposite side /adjacent side
Opposite Side = 8
Adjacent Side = 17
tan x° = 8/17
tan x° = 0.4705882352941
of 
x° = 25
Answer:
We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 31.7 milligrams
Sample mean,
= 28.5 milligrams
Sample size, n = 9
Alpha, α = 0.05
Sample standard deviation, s = 2.8 milligrams
First, we design the null and the alternate hypothesis

We use One-tailed t test to perform this hypothesis.
Formula:

Putting all the values, we have

Now,
Since,
We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
Answer:
These two figures are similar because
equals 
Step-by-step explanation:
The figures will be similar if their ratios of the two sides are equal. So we need to check the ratios of the figures to see if they are similar or not.
For the smaller figure the ratio is
, and for the bigger figure the ratio is
which upon simplification reduces to
.
So we see that the ratios are equal. Thus the figures are similar.
Part A: Describe the two factors in this expression. (4 points) The factors are (1) the constant coefficient 9 and (2) the binomial (7+2x).
Part B: How many terms are in each factor of this expression? (4 points) The first factor (multiplicand), 9, has one term. The second factor (multiplicand), (7+2x), has two terms (and is thus called a binomial).
Part C: What is the coefficient of the variable term? (2 points) The only such coefficient is 2.