<span>Find the exact value of sec(-4π/3). Note that one full rotation, clockwise, would be -2pi. We have to determine the Quadrant in which this angle -4pi/3 lies. Think of this as 4(-pi/3), or 4(-60 degrees). Starting at the positive x-axis and rotating clockwise, we reach -60, -120, -180 and -240 degrees. This is in Q III. The ray representing -240 has adj side = -1 and opp side = to sqrt(3).
Using the Pyth. Theorem to find the length of the hypo, we get hyp = 2.
Thus, the secant of this angle in QIII is hyp / adj, or 2 / sqrt(3) (answer). This could also be written as (2/3)sqrt(3).
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Answer:
A) 8 treatments
- Normal sleeper, high school dropout
- Normal sleeper, high school graduate
- .Normal sleeper, college graduate
- Chronic insomnia, college graduate
- Chronic insomnia, high school graduate
- Chronic insomnia, high school dropout
- Normal sleeper, some college
- Chronic insomnia, some college
B) 8 treatments
Step-by-step explanation:
<u>A) determine the number of treatments for this study </u>
The number of treatments for this study can be determined as : 2 * 4 = 8 treatments
and they are :
- Normal sleeper, high school dropout
- Normal sleeper, high school graduate
- .Normal sleeper, college graduate
- Chronic insomnia, college graduate
- Chronic insomnia, high school graduate
- Chronic insomnia, high school dropout
- Normal sleeper, some college
- Chronic insomnia, some college
B) eight (8 ) treatments
Answer:
- 0.25
Step-by-step explanation:
Sine -1/4 is a fraction, you can think of it as quarters in this case. there are 4 quarters in a dollar. 1/4 = 25/100.
Answer:
16 km
Step-by-step explanation:
Given:
Distance from Washington to Stamford = distance from Washington to Salem + distance from Salem to Stamford = 10.3 km + 11.9 km = 22.2 km
Distance from Washington to Oakdele = 6.2 km
Required: the difference between the distance from Washington to Stamford and from Washington to Oakdele
Solution:
Distance from Washington to Stamford = 22.2 km
Distance from Washington to Oakdele = 6.2 km
The difference = 22.2 km - 6.2 km = 16 km
Therefore, from Washington, it is 16 km farther to Stamford than to Oakdele.
Answer:
Step-by-step explanation:
The formula for the volume of a cylinder is V = πr²h.
Here, r = 5cm, and h = 15 cm, and so the volume is:
V = πr²h = π(5 cm)²(15 cm), or:
V = π(25 cm²)(15 cm) = 375π cm³, or approximately 1170 cm³
