Henry swims at 1.6 laps per minute, Larry swims at 1.8 laps per minute. Larry swims faster
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
Using the distance formula, 
, what is the distance between point (-2, 2) and point (4, 4) rounded to the nearest tenth?
Using the points given, plug them into the equation.
Plug this into a calculator and you get 6.32455532
Since you only need it up to the tenth (0.1), round up 6.32
<em>Five or more, let it soar. Four or less, let it rest.</em>
Since two is lower than four, we drop it.
Therefore, the distance between points (-2, 2) and (4, 4) is 6.3
Hope this helps ^w^
Perfect squares are:
1,4,9,16,25,36,49,64,81,100,....
the sum of the digits of our biggest number is 16 so any perfect square bigger than 16 doesn't work for us
1-
1+0=1 so any number containing the digits will work(keep in mind we only will look into whole numbers because digits can't be negative or have fractions or be irrational)
thereful 10 works for our category
2-
0+4=4
1+3=4
2+2=4
22 13 31 and 40 will work two
3-
0+9
1+8
2+7
3+6
4+5
90 18 81 27 72 36 63 45 54
4-
0+16
1+15
2+14
3+13
4+12
5+11
6+10
7+9
8+8
79 97 88
so our set of numbers contain:
10 22 13 31 40 90 18 81 27 72 36 63 45 54 79 97 88
Answer:
perimeter = 30 ft
Step-by-step explanation:
13 + 5 + 12 = perimeter = 30 ft
