Step-by-step explanation:
LHS= sin 3x/sin x - cos 3x/cosx
Taking LCM,
<u>=</u><u>sin3xcosx- cos3xsinx</u>
sinxcosx
<u>=</u><u>sin(3x-x)</u>
sinxcosx
= <u>2sin2x</u>
2sinxcosx
=<u> </u><u>2sin2x</u><u> </u>
sin2x
=2
= RHS.
Proved.
Assume that you only include whole numbers (1,2,3,4,5,6,7,8,9) and not 3.5 and such
so if 1 is odd and less than 5 then it is
1 or 3, since 5 isn't included
then the other number, to be less than 5 when added,
must be
1+x<5
3+x<5
solve each
1+x<5
subtract 1
x<4
set of answers are 1,2,3
3+x<5
subtract 3
x<2
set of answer is 1
so the possible numbers are
1,2,3
that is 3 numbesr out of 9 so
probability=(total desired outcomes)/(total possible outcomes) so
disred outcomes=3
total possible=9
3/9=1/3
the probabiltiy is 1/3
Answer:
x = 2.25
Step-by-step explanation:
-9(x - 5) = x + 22 1/2
Distribute the nine and then add 9x to both sides
-9x + 45 = x +22 1/2
+ 9x + 9x
Then try to get x alone
45 = 10x + 22 1/2
-22 1/2 -22 1/2
22.5 = 10x
2.25 = x
Answer:
A=174
Step-by-step explanation:
Step 1: Separate the figure into two separate shapes, a triangle and a square
Step 2: Find the dimensions of the triangle and square.
Square - l=12 w=12
Triangle - h=5, b=12. (The height was found by subtracting the length of the square (12) from the total length (17).
Step 3: Solve by using formulas
A=(5)(12)/2=30
A=12*12=144
Step 4: Add the parts together
144+30=174
A=174
Answer:
Ratio should be equal so ratio is 3:3
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