Answer: her call lasted for 26 minutes.
Step-by-step explanation:
Let x represent the number of minutes for which her call lasted.
Rachel purchased a prepaid phone card for $30. Long distance calls cost 6 cents a minute using this card. Converting 6 cents to dollars, it becomes 6/100 = $0.06
This means that the cost of x minutes of long distance call is
0.06 × x = $0.06x.
If the remaining credit on her card is $28.44, it means that
0.06x + 28.44 = 30
0.06x = 30 - 28.44
0.06x = 1.56
x = 1.56/0.06
x = 26
Answer:
To convert an angle measure to radians, multiply it by pi/180.
Step-by-step explanation:
310 * pi/180 = 31pi/18 = 5.41 rad
Answer:
First option: cos(θ + φ) = -117/125
Step-by-step explanation:
Recall that cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
If sin(θ) = -3/5 in Quadrant III, then cos(θ) = -4/5.
Since tan(φ) = sin(φ)/cos(φ), then sin(φ) = -7/25 and cos(φ) = 24/25 in Quadrant II.
Therefore:
cos(θ + φ) = cos(θ)cos(φ) - sin(θ)sin(φ)
cos(θ + φ) = (-4/5)(24/25) - (-3/5)(-7/25)
cos(θ + φ) = (-96/125) - (21/125)
cos(θ + φ) = -96/125 - 21/125
cos(θ + φ) = -117/125
Lets focus on what we know first. Natalie can pick 135 Berries in 15 minutes. Lets find out how many berries she can pick per minute.
In order to do so, We have to divide 135 by 15.
135/15=9
This means that Natalie can pick 9 berries per minute. Given that we want her to pick 486, we will need to divide that number by 9 berries to find out how many minutes it will take to get her to that number of berries.
486/9=54
This means that it will take Natalie 54 minutes in order to pick 486 berries.
Answer:
Hey there!
We have tangent 29=h/400
Thus, tangent 29 times 400=h
h=221.7 feet.
The height of the kite is 221.7 feet.
Hope this helps :)
