Answer:
In 9, use tan, in 10 use inverse tan
Step-by-step explanation:
in 11 use cos, in 12 use tan
Answers:
In these exercices are ilustrated the representations of the fractions
2) Firstly, we have 3 equal segments, each one representing
, hence:
is <u>3</u> copies of
Let's prove it, taking into account we are adding fractions with the same denominator:

There are <u>4</u> equal parts that make a whole
Four copies of <u>
</u> make
or <u>1</u> whole

3) Here we have a line divided into four segments, each one of
. Hence:
This is
of a line.
is <u>4</u> lengths of

If we draw one more
we will have
or 1 whole.
Then:
<u>5</u> lengths of
make
or <u>1</u> whole.
4) In this part the answer is in the attached image. If we have two equal segments, each one of
we will have as a result
.
If we add another
segment, we will have three segments of
, having as a result 
Stan's heart rate, in beats per minute, was measured 20 times at random. The results are 82, 84, 98, 112, 97, 93, 91, 87, 112, 8
Licemer1 [7]
Answer:
(80.4942, 94.9052)
Step-by-step explanation:
The sample mean is x = 87.7.
The sample standard deviation is s = 11.26.
At 99% confidence and 19 degrees of freedom, the critical value is t = 2.861.
The confidence interval is:
x ± t (s/√n)
87.7 ± 2.861 (11.26 / √20)
87.7 ± 7.2053
(80.4947, 94.9053)
<span>Given that x represents the width of the rectangle and that the length of the rectangle is three times longer than the width. Then the length is 3x. The perimeter of a rectangle is given by 2(length + width) = 2(3x + x) = 2(4x) = 8x. The perimeter of the rectangle is 16 feet. Therefore, the required equation is 8x = 16. </span>
1748 people are expected to stop at the gift shop out of 2300.
Step-by-step explanation:
Given,
Number of random sampled people = 350
Number of people who stopped at shop = 266
Percentage = 
Percentage = 
Therefore,
76% people would stop at the gift stop.
Number of people = 2300
Expected number = 76% of total
Expected number = 
Expected number = 1748
1748 people are expected to stop at the gift shop out of 2300.