Answer: 60 pounds
Step-by-step explanation:
Answer:
1. sinα = +2√5/5 2. cosα = +√5/5 3. cotα = +1/2 4. secα = +√5 5. cosecα = +√5/2.
Step-by-step explanation:
1. Since tan(α) = 2 and 1 + cot²α = cosec²α
1 + 1/tan²α = 1/sin²α
1 + 1/2² = 1/sin²α
1 + 1/4 = 1/sin²α
5/4 = 1/sin²α
sinα = ±√(4/5)
sinα = ±2/√5
sinα = ±2√5/5
Since 0<α<π/2, sinα = +2√5/5
2. sin²α + cos²α = 1
(2/√5)² + cos²α = 1
4/5 + cos²α = 1
cos²α = 1 - 4/5
cos²α = 1/5
cosα = ±1/√5
cosα = ±√5/5
Since 0<α<π/2, cosα = +√5/5
3. cotα = 1/tanα = 1/2
Since 0<α<π/2, cotα = +1/2
4. secα = 1/cosα = 1/±1/√5 = ±√5
Since 0<α<π/2, secα = +√5
5. cosecα = 1/sinα = 1/±2/√5 = ±√5/2
Since 0<α<π/2, cosecα = +√5/2
Answer:
108 points in 9 games!
Step-by-step explanation:
hope this helps!! :D
The last one : y - 5 =
(x - 6)
the equation of a line in point- slope form is
y - b = m(x - a )
where m is the slope and (a, b ) a point on the line
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(- 2, - 1 ) and (x₂, y₂ ) = (B(6, 5 )
m =
=
= ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
using (a, b ) = (6, 5 ), then
y - 5 =
(x - 6 ) ← in point- slope form
1/3 would you like an explanation