Answer:
-16/65
Step-by-step explanation:
Given sinα = 3/5 in quadrant 1;
Since sinα = opp/hyp
opp = 3
hyp = 5
adj^2 = hyp^2 - opp^2
adj^2 = 5^2 = 3^2
adj^2 = 25-9
adj^2 = 16
adj = 4
Since all the trig identity are positive in Quadrant 1, hence;
cosα = adj/hyp = 4/5
Similarly, if tanβ = 5/12 in Quadrant III,
According to trig identity
tan theta = opp/adj
opp = 5
adj = 12
hyp^2 = opp^2+adj^2
hyp^2 = 5^2+12^2
hyp^2 = 25+144
hyp^2 = 169
hyp = 13
Since only tan is positive in Quadrant III, then;
sinβ = -5/13
cosβ = -12/13
Get the required expression;
sin(α - β) = sinαcosβ - cosαsinβ
Substitute the given values
sin(α - β) = 3/5(-12/13) - 4/5(-5/13)
sin(α - β)= -36/65 + 20/65
sin(α - β) = -16/65
Hence the value of sin(α - β) is -16/65
Number of plants planted = 23
with a distance of = 3 m
total distance between the first and the last plant = 22x3 ( because starting from first plant we will not take 23)
ans. = 66m
Step-by-step explanation:
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Answer:
x = 99°
y = 91°
Step-by-step explanation:
For Cyclic quadrilateral, the sum of the opposite angles = 180°
Let's find x :-
x + 81° = 180°
x = 180 - 81
x = 99°
Let's find y :-
y + 89° = 180°
y = 180 - 89
y = 91°
Hope this helps you !
Answer:
20+4x
Step-by-step explanation:
Distributive property is quite easy to learn... its just multiplication in an easier form to visualize once you're used to using it.
To first start this problem you want to use the number 4 in the expression 4(5+x). You then want to multiply 4 by both terms inside of the parentheses. So you would do both 4*5 and 4*x. You would then get 20+4x because 4*5=20 and 4*x is just put together as 4x.
