Answer:
Step-by-step explanation:
<u>Property of regular polygons:</u>
- Sum of Interior Angles = (n−2) × 180°, where n is number of sides
<u>In our case we have:</u>
- 158.8×n = (n - 2)×180
- 180n - 158.8n = 360
- 21.2n = 360
- n = 360/21.2
- n = 17
Answer:
43.5 % decrease
Step-by-step explanation:
Take the original price and subtract the new price
850-480
370
Divide by the original price
370/850
.435294118
Change to percent form by multiplying by 100
43.5294118 % decrease
43.5 % decrease
Based on the ratio of boys/girls We can infer that the only possibility for Ellen's math class would be answer B. 14/21
Answer: C. (k + 12)(k + 1)
Step-by-step explanation:
Answer:
D. π/30 + n(π/15)
Step-by-step explanation:
The given equation can be solved by isolating the cosine function and using the inverse function to find the angles.
<h3>Solution</h3>
30cos(30x) +14 = -16
30cos(30x) = -30 . . . . . . subtract 14
cos(30x) = -1
This is an extreme value of the cosine function that first occurs where the argument is π, and repeats every 2π after that:
30x = π +2nπ
x = π/30 +n(π/15) . . . . . odd multiples of π/30
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<em>Additional comment</em>
The answer choices other than D include <em>all</em> multiples of π/30, or <em>only even</em> multiples of π/30. Either way, they are not part of the correct answer.