cos A is 0.8511 and tan B is 1.6
Step-by-step explanation:
Find the 3rd length or the hypotenuse.
<u>Pythagoras theorem</u>
=
+ 
=
+ 
= 64 + 25
hypotenuse = 
hypotenuse = 9.4
a) Cos A
<u>Data:</u>
Adjacent = 8
Hypotenuse = 9.4
<u>Formula:</u>
Cos (Angle) = 
Cos A = 
Cos A = 0.8511
A =
(0.8511)
A = 31.7°
b) Tan B
<u>Data: </u>
Opposite = 8
Adjacent = 5
<u>Formula:</u>
Tan (Angle) = 
Tan B = 
Tan B = 1.6
B =
(1.6)
B = 58°
Therefore, cos A is 0.8511 and tan B is 1.6.
Keyword: cos, tan
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2:3. 2+3=5. So 45 divided by 5 equals 9
9x2 ( the ratio number of country music is 2)
So there are 18 country albums in the collection
FW = PW(1+i)^N
= $6900(1+0.039)^1
solve for FW
(sorry don't have a calculator on me rn)
Answer:
x=1
Step-by-step explanation:
-2x + 4 = 5 - 3x
Add 3x to each side
-2x+3x + 4 = 5 - 3x+3x
x +4 =5
Subtract 4 from each side
x+4-4 =5-4
x =1
Step-by-step explanation:
Starting with f(x)
f(x)
f(-x) ...... reflection in the y - axis
f(-x+2) ..... horizontal translation by 2 units in the negative x-direction
f(-x+2) + 6 ...... vertical translation by 6 units in the positive y-direction
4f(-x+2) + 6 ..... scaling (or dilation) by a factor of 4
-4f(-x+2) + 6 ..... reflection in the x-axis