Both angles are complementary and add up to 90 degrees. If you do that in an equation it should be like this:
2x + 14 + x + 7 = 90
Simplify:
3x + 21 = 90
3x = 69
X = 23
Now just plug that into angle CBD and you get:
2(23) + 14 = y
46 + 14 = y
60 = y
Angle CBD is 60 degrees
cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)
So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.
Recall that
cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)
so that
sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)
sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)
Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :
sin(<em>θ</em>) = 1 / √((-2)² + 1)
sin(<em>θ</em>) = 1/√(5)
Answer:
See below
Step-by-step explanation:
9 x 1/8 = 1.125
10 x 1/8 = 1.25
9 1/2 x 1/8 = 1.1875
12 x 1/8 = 1.5
8 1/2 x 1/8 = 0.5
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Answer:
855
Step-by-step explanation:
1.9 seconds is 19 tenths, so that means we add using the information given, which is that the ball travels 5 fewer inches every tenth of a second:
Time | Inches traveled
0.1 | 90
0.2 | 85
0.3 | 80
0.4 | 75
0.5 | 70
0.6 | 65
0.7 | 60
0.8 | 55
0.9 | 50
1.0 | 45
1.1 | 40
1.2 | 35
1.3 | 30
1.4 | 25
1.5 | 20
1.6 | 15
1.7 | 10
1.8 | 5
1.9 | 0
90+85+80+75+70+65+60+55+50+45+40+35+30+25+20+15+10+5+0=855
