Answer:
A
Step-by-step explanation:
Given the sequence
1, 9, 17, 25, 33, 41
Note the difference in consecutive terms
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
33 - 25 = 8
41 - 33 = 8
Since the terms have a common difference d then the sequence is arithmetic
To obtain the next term in the sequence add 8 to the previous term
41 + 8 = 49
49 + 8 = 57
57 + 8 = 65
The next 3 terms are 49, 57, 65
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference, thus
= 1 + (19 × 8) = 1 + 152 = 153
The required solution is 49, 57, 65 ; 153 → A
Answer:
The arc CD is: 114.64°
Step-by-step explanation:
The given triangle inside the circle, we can get the trigonometric ratio such as
sin x = opposite / hypotenuse
Here:
The opposite side of angle x = 36.7/2
The hypotenuse = 21.8
Thus,
sin x = [36.7/2] / [21.8]
sin x = 18.35 / 21.8
sin x = 0.8417
x = arc sin (0.8417)
x = 57.32°
Thus, the angle formed at the center by CD is:
2 x 57.32 = 114.64°
Therefore, the arc CD is: 114.64°
The radius of the water bottle to the nearest hundredth is 2.01 cm
<h3>How to calculate the volume of a cylinder</h3>
A cylinder is a solid figure with circular bases and height.
The volume of a cylinder = πr²h
h is the height = 8.1cm
Volume = 103 cubic cm
Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²
r = 2.01 cm
Hence the radius of the water bottle to the nearest hundredth is 2.01 cm
Learn more on volume of cylinder here: brainly.com/question/9554871
Answer:
x=24
Step-by-step explanation:
Answer:
A. Negative information is given a relatively larger weight than positive information.
Step-by-step explanation:
Among the options enlisted, the fact that negative information is given a relatively larger weight than positive information, signposts the manner in which information is processed by an interviewer.
During the recruitment and/or interview processes, the recruiter is presented with a pool of candidates with varying skills and competencies. The scenario here will be that the recruiter will come up with penciled skills and character to;
1. Streamline and reduce the large number of applicants
2. Ensures that applicants are properly matched with the right jobs
To achieve the foregoing therefore, and considering the large pool of candidates, the interviewer will be highly sensitive to negative information that could pose a threat to the underlying recruitment objective.
