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Answer:
Sin x = 0.56976744186
Step-by-step explanation:
Sin x = 4.9/8.6
Answer:
(a) LM=12 units, LN=35 units, MN=37 units
(b)8 84 units
(c) 210 square units
Step-by-step explanation:
(a)
Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane
Length 
Length 
Length
Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where
Therefore, the lengths LM=12 units, LN=35 units and MN=37 units
(b)
Perimeter is the distance all round the figure
P=LM+LN+MN=12 units+35 units+37 units=84 units
(c)
Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units
Therefore, A=0.5*12*35= 210 square units
Answer:
A 2
Step-by-step explanation:
When we divide x by 9 there is some whole number we will call y plus a remainder of 4
x/9 = y remainder 4
Writing this in fraction form
x/9 = y + 4/9
Multiplying each side by 9
9*x/9 = 9* y + 4/9 *9
x = 9y +4
Multiply each side by 2
2x = 2*(9y+4)
2x = 18y +8
Add 3 to each side
2x+3 = 18y +8+3
2x+3 = 18y +11
Divide each side by 9
(2x+3)/9 = 18y/9 +11/9
= 2y + 9/9 +2/9
=(2y+1 + 2/9)
We know y is a whole number and 1 is a whole number so we can ignore 2y +1 when looking for a remainder)
2/9 is a fraction
Taking this back from fraction form to remainder from
(2y+1) remainder 2
Thwre are 28 clients who don not play any of the instrument using the principle of Venn distribution.
<u>Using a Venn diagram analogy</u> :
- Total number of client, U = 108
- Piano, P = 42
- Guitar, G = 51
- Piano and Guitar, (PnG) = 13
- None =?
<u>From the information given</u> :
- P only = 42 - 13 = 29
- G only = 51 - 13 = 38
<u>The total number of clients can be related thus</u> :
- Total = P only + G only + PnG + None
108 = 29 + 38 + 13 + None
108 = 80 + None
None = 108 - 80
None = 28
Therefore, the number of clients who do not play any of the instruments is 28
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