The ratios of sin x° and cos y° are 15/8.
We have given that,
Use the image below to answer the following question.
We have to determine to find the value of sin x° and cos y°.
By applying Pythagoras theorem in the triangle given in the picture,
<h3>What is
the Pythagoras theorem?</h3>
(Hypotenuse)² = (leg 1)² + (leg 2)²
PO² = (15)² + 8²
PO² = 225 + 64
PO = √289
PO = 17
By applying the sine rule in the given triangle,
sin(x°) = Opposie side/hypotenous
= 15/17
cos(y°) = Adjucent side/hypotenous
= 8/17
The relation between the ratio of sin(x) and cos(x) will be,


Therefore the ratios of sin x° and cos y° are 15/8.
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Answer:216
Step-by-step explanation:
The solution to the system of inequalities is (-3.375, 1.75)
<h3>How to graph the inequalities?</h3>
The system of inequalities is given as:
3y > 2x+12
2x+y < -5
Next, we plot the graph of the system using a graphing tool
From the graph, both inequalities intersect at
(-3.375, 1.75)
Hence, the solution to the system of inequalities is (-3.375, 1.75)
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Answer:
m = 4√2
Step-by-step explanation:
This is a right angled isosceles triangle whose sides are in the ratio 1:1:√2.
So = 8 / √2
= 8 *√2 / 2
= 4√2
take father's age as x
if it is doubled i.e 2x .we get the answer as 20 less than 100 which means 100-20=80
accordingly the equation will be 2x=80
x=40
given that ,
son is 1/4 th of his father
hence ,
son = 1/4×(x)
I.e, 1/4×40 =10
Hope it helps