A circle has the radius of 4 cm. Find the length s of the arc intercepted by a central angle of pie/4 radians.
1 answer:
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Answer:
Step-by-step explanation:
In the diagram below we have
ABCD is a parallelogram. K is the point on diagonal BD, such that
And AK meets BC at E
now in Δ AKD and Δ BKE
∠AKD =∠BKE ( vertically opposite angles are equal)
since BC ║ AD and BD is transversal
∠ADK = ∠KBE ( alternate interior angles are equal )
By angle angle (AA) similarity theorem
Δ ADK and Δ EBK are similar
so we have
( ABCD is parallelogram so AD=BC)
( BC= BE+EC)
( subtracting 1 from both side )
taking reciprocal both side
Answer:
Chan's Bonus amount was $2400.
Step-by-step explanation:
Let the Total amount receive from bonus be 'x'.
Given:
Chan pays 30% in taxes;
So we can say;
Amount paid in taxes will be equal to 30% of total amount receive
framing in equation form we get;
Amount paid in taxes =
Now Given:
Chan pays 30% in Charity;
So we can say;
Amount paid in charity will be equal to 30% of total amount receive.
framing in equation form we get;
Amount paid in Charity =
Also Given:
Chan pays 30% in old debts;
So we can say;
Amount paid in Old debts will be equal 30% of total amount receive
framing in equation form we get;
Amount paid in Old debts =
Money left with him = $600
Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.
framing in equation form we get;
Hence Chan's Bonus amount was $2400.