Answer:
0.15 for each message
Step-by-step explanation:
The charge per message can be found by dividing the charge by the number of messages. Using the first line of the table, we get ...
charge per message = (total charge)/(number of messages) = $38.40/256
charge per message = $0.15
Alyssa is charged 0.15 for each text message.
_____
We can check other lines of the table to see if charges are really proportional:
$26.55/177 = $0.15
$31.35/209 = $0.15
Hope this helps but I think the answer is $8.91.
Hi there! You have to remember these 6 basic Trigonometric Ratios which are:
- sine (sin) = opposite/hypotenuse
- cosine (cos) = adjacent/hypotenuse
- tangent (tan) = opposite/adjacent
- cosecant (cosec/csc) = hypotenuse/opposite
- secant (sec) = hypotenuse/adjacent
- cotangent (cot) = adjacent/opposite
- cosecant is the reciprocal of sine
- secant is the reciprocal of cosine
- cotangent is the reciprocal of tangent
Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.
What we have now are:
- Trigonometric Ratio
- Adjacent = 12
- Opposite = 10
Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!
Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite
Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.
- 10²+12² = c²
- 100+144 = c²
- 244 = c²
Thus, the hypotenuse is:

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:
- cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = <u>(6√61) / 61</u>
- sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = <u>(5√61) / 61</u>
- cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = <u>√61/5</u>
- secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = <u>√</u><u>61</u><u>/</u><u>6</u>
Questions can be asked through comment.
Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.
Hope this helps, and Happy Learning! :)
Answer: 29.7 degrees
Step-by-step explanation:
Good, I can see the diagram now!
First calculate circumference of the circle.
C=2πr
C=2π(27)
C=54π in ==> 360 degrees
54π/14=12.11757
360/12.11757=
29.709=29.7 degrees
22,000 x 2= 44,000
120%
So I think it would equal to 345,600,0
I am not sure
P.S. I am not good at math sorry if it is wrong...