8.5X60 = 510 feet/min
510X60 = 30,600 feet/hour
Answer:
see below
Step-by-step explanation:
1) see attached image
2) <u> bearings from A to B</u>
Note: bearing is always clockwise from A and from North.
(i)
bearing 180° + 67°
247° from N
(ii)
bearing 148 + 180
328° from N
(iii)
bearing 180 - 21
159° from N
(iv)
39° from N
(v)
bearing 90 - 40
50° from N
3) <u>back bearing from each diagram on no. 2</u>
<u />
Note: subtract 200 if bearing is more than 180
add 180 if the bearing is less than 180
(i) 247 - 200 = 47°
(ii) 328 - 200 = 128°
(iii) 159 + 180 = 339°
(iv) 39 + 180 = 219°
(v) 50 + 180 = 230°
Answer:
<h2>
( 2 , - 3 )</h2>
Step-by-step explanation:
Using elimination method:
2x - y = 7
3x + y = 3
--------------
5x = 10
Divide both sides of the equation by 5

Calculate

Now, substitute the given value of X in the equation
3x + y = 3

Multiply the numbers

Move constant to R.H.S and change it's sign

Calculate

The possible solution of this system is the ordered pair ( x , y )
<h3>
( x , y ) = ( 2 , -3 )</h3>
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Check if the given ordered pair is the solution of the system of equation


Simplify the equalities


Since all of the equalities are true, the ordered pair is the solution of the system
<h3>
( x , y ) = ( 2 , - 3 )</h3>
Hope this helps..
Best regards!!
Answer:
I think it's right
but plz let me know if im wrong
Step-by-step explanation:
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β