We know that
in the right triangle
<span>sinθ=opposite side/hypotenuse
</span><span>cosθ=adjacent side/hypotenuse
</span><span>tanθ=opposite side/adjacent side
in this problem
opposite side angle </span>θ=8
adjacent side angle <span>θ=15
hypotenuse=17
so
</span>sinθ=8/17
cosθ=15/17
tanθ=8/15
Answer:

Step-by-step explanation:
The general equation for a circle is

Where a and b are the x and y values of the centre. So comparing to your equation you can see that a is 2/3 and b is 0
Since he sells 5 large cards for every 2 small, we can multiply the number of small cards he needs to sell by 2.5 to find how many large cards he needs to sell.
So let x=the number of small cards sold, and 2.5x=the number of large cards sold
The equation is:Total profit=x+(2.5x)
Since a small card is $2.5, a large card is $4, and the total profit will be $10,000 plug those in to make the equation:
10,000=2.5x+4(2.5x)
We can combine the x's to get 10,000=12.5x and then divide both sides by 12.5 to get x=800.
So he needs to sell 800 small cards.
Multiply that by that 2.5.
And he needs to sell 2000 large cards.
Answer:

Step-by-step explanation:
Given:
An isosceles triangle ABC with AB = AC.
∠A = 
∠B = 
∠C = 
We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.
Therefore, ∠B = ∠C
⇒ 
⇒ 
∴ ∠C =
°
Now, the sum of all the interior angles of a triangle is always 180°.

Therefore, the value of 'y' is 5.