Ryan and Caiden both bought roses from the market. If Ryan paid $174.93 for 7 dozen roses, how much did Caiden pay for 4 dozen r
2 answers:
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Answer:
angle CAB = 113.8 degree
angle ABC = 35.6 degree
angle BCA = 30.6 degree
Step-by-step explanation:
Given data:
A(1, 0, −1),
B(5, −3, 0),
C(1, 5, 2)
calculate the length of side by using the distance formula
so
AB = (5,-3,0) - (1,0,-1) = (4,-3,1)
AC= (1,5,2) - (1,0,-1) = (0,5,3)
|AB|
|AC| =
From following formula, calculate the angle between the two side i.e Ab and AC
AB.AC = |AB|*|AC| cos ∠CAB
(4,-3,1).(0,5,3)
4*0 -3*5 +1*3
-12 =
cos ∠CAB = - 0.404
angle CAB = 113.8 degree
BA =B- A = (1,0,-1) - (5,-3,0) = (-4,3,-1)
BC = (1,5,2)-(5,-3,0) = (-4,8,2)
|BA| = \sqrt{(26)}
|BC|
BA.BC = |BA|*|BC|* cosABC
(-4,3,-1).(-4,8,2) =
16+24-2
cos ∠ABC = 0.813
angle ABC = 35.6 degree
we know sum of three angle in a traingle is 180 degree hence
sum of all three angle = 180
angle BCA + 35.6 + 113.8 = 180
angle BCA = 30.6 degree
Answer: 30° and 330°
<u>Step-by-step explanation:</u>
sec θ =
sec θ =
=
cos θ =
cos θ =
cos θ =
cos θ =
Look at the Unit Circle to see that cos = at 30° and 330° ( which is equivalent to π/6 and 11π/6)
Answer:
Step-by-step explanation:
The formula for arc length in terms of degrees is
and we have everything we need to fill in to find the angle measure.
which is the same as
and
and
so
θ = 253°