Answer:
912.414
Step-by-step explanation:
The angle
θ
between the directions of motion of planes
θ
=
320
−
200
=
120
∘
The distance
a
traveled by first plane flying at a speed of
150
km/hr
in
3
hrs
a
=
150
⋅
3
=
450
k
m
Similarly, the distance
b
traveled by second plane flying at a speed of
200
km/hr
in
3
hrs
b=
200x3=
600 km
Now, the distance between the planes after 3
hrs will be equal to the side of a triangle opposite to the angle θ=120∘
included by the sides
a
=
450
& b=
600
.
Now, using Cosine rule in the concerned triangle, the distance between the plane after
3
hours is given as
Answer:
42°
Step-by-step explanation:
all triangles have 180 degrees, you are given 48. the symbol above 48 tells you it is 90 degrees. ther fore you can use 180- 90 - 48= 42
First, we have to make sure that the number of columns in the first matrix is equal to the number of rows in the second matrix.
Since this is true, we can continue to solve the problem.
To multiply two matrices, multiply each row element in the first matrix by each column element in the second matrix. For example:
1*2 = 2
-3*1=-3
Then we add them to get our new matrix element.
-3+2=
-1Then we move to the next column of the second matrix.
1*3=3
-3*2=-6
-6+3=
-3Then the final column of the second matrix.
1*4=4
-3*3=-9
-9+4=-5
Our matrix so far:
We do the same for the bottom row of the first matrix.
<em>First Column</em>
2*2=4
0*1=0
4+0=
4<em>Second Column
</em>2*3=6
0*2=0
6+0=
6
<em>Third Column</em>
2*4=8
0*3=0
8+0=
8Our final matrix is:
:)
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