Answer:
2.65 feet
Step-by-step explanation:
Each revolution corresponds to a central angle of 2π radians, so 12 revolutions represent an arc of 24π radians. That means the arc length of 1 radian is ...
(1 rad)(200 ft)/(24π rad) ≈ 2.65 ft
The length of the arc with a central angle of 1 rad is about 2.65 feet.
Answer:
Step-by-step explanation:
Area of wall = lh + lh + bh + bh = 2lh + 2bh = 2h *(l + b)
Area of ceiling = lb
Area of wall and ceiling = 2h(l +b) + lb
= 2*8* (20 +15) + 20*15 = 16*35 + 20*15
= 560 + 300 = 860
Cost of painting per m^2 =20/10 = 2
Cost of painting 860 m^2 = 860 * 2 = 1720
Volume = l * b *h = 20 * 15 * 8 = 2400 m^3
The distance Nadia already walked is less because 3.4 - 1.6 = 1.8, and 1.6 < 1.8 which is the correct answer would be an option (C).
<h3>What is the
distance?</h3>
Distance is calculated as the product of a person's movement and time.
Nadia took a rest after covering 1.6 miles of walking.
This indicates that she had the following distance to cover on the mile trail:
⇒ 3.4 - 1.6 = 1.8 miles
Nadia had already walked 1.6 miles, but she still had another 1.8 miles to go.
Therefore, the distance Nadia has already traveled is less than the distance that needs to be covered.
Hence, the correct answer would be an option (C).
Learn more about the distance here:
brainly.com/question/13269893
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Answer:
45
Step-by-step explanation:
(3)(7)−(6)(−4)
=21−(6)(−4)
=21−(−24)
=45
Using the z-distribution, the test statistic is:
c) -2.63.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:
At the alternative hypothesis, we test if they are different, hence:
<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
.
.
For the distribution of differences, it is given by:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:
In which 
is the value tested at the null hypothesis.
Hence:
z = -2.63.
More can be learned about the z-distribution at brainly.com/question/13873630
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