Answer:
Make a coordinate plane and you have to solve around the origin say 4,4 and 4,1.
Step-by-step explanation:
mark me brainy plz u do not have to if u do not want to it would be ever so kind if u did so plz do mark me brainy
Answer:
m∠A = 39°
Step-by-step explanation:
From the figure attached,
BE ≅ BC
m∠C = 32°
m∠BFD = 103°
In ΔBCE,
m∠E = m∠C = 32° [Since, BE ≅ BC]
m∠E + ∠C + m∠EBC = 180°
32° + 32° + m∠EBC = 180°
m∠EBC = 116°
m∠EBC + m∠EBA = 180° [Linear pair of angles]
116° + m∠EBA = 180°
m∠EBA = 64°
Similarly, m∠AFB + m∠DFB = 180° [Linear pair of angles]
m∠AFB + 103° = 180°
m∠AFB = 77°
Now in ΔAFB,
m∠A + m∠AFB + m∠FBA = 180° [Sum of internal angles of a triangle = 180°]
m∠A + 77° + 64° = 180°
m∠A = 39°
Answer:
Step-by-step explanation:
Lets remember the following expression:
cos(x-a)= cos(x)*cos(a)+sin(x)*sin(a)
if a= -3 pi /2 then:
cos(x-3 pi/2)= cos(x)*cos(3pi/2) + sin(x)*sin(3pi/2)
Since cos (3pi/2) is located exactly at 'y' axis, its value=0
Moreover sin(3pi/2)= -1 because, that angle is located at 'y' axis, negative side
cos(x-3pi/2)= -sin(x)
But, we can simplify a little more since we now that tan(x)=3/4
That means that sin(x)/cos(x)= 3/4, from that expression we isolate sin(x) and we obtain that sin(x)=cos(x) * 3/4
Using the above conclusion we have that
cos(x-3pi/2)= -cos(x)*3/4
Here is one example of when you would use the friendly number strategy to subtract.
42 - 18
We will turn the 18 into a friendly number, which is going to be 20.
(42 + 2) - (18 + 3)
44 - 20
Now it is easier to subtract 44 - 20 than it is 42 -18. With 42 - 18 we would have to barrow whereas with 44 -20 we do not have to barrow and we can do it in our head easier and makes it faster.