The number of a two dollar bill i need to pay for a purchase is 9 more than the number of 5 dollar bills i need to pay for the s
1 answer:
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Let's begin noting that a triangle is isosceles if and only if two of its angles are congruent. We can thus find the angle <ABP, recalling that the sum of the interior angles of a triangle is equal to 180°.
Finally, let point K be the intersection between segments BC and PQ, and let's note that the triangle PQB is a right isosceles triangle, since all the angles in a square are equal to 90°, and the two triangles APB and BQC are congruent.
Therefore, the angle BKQ is equal to 180-50-45=85°.
Of course angle BKP=180-85=95°.
Hope this helps :)
Answer:
C. Isosceles Triangle
Step-by-step explanation:
An Isosceles triangle is a type of triangle in geometry that has two sides of equal length.
From the figure attached, triangle STR has two sides of equal length which are;
1.) ST and
2.) TR
The two equal sides (ST and TR) are called legs while the third side is called the base of the triangle.
*P.S: I believe your question is based on the image attached
Answer:
a)
b)
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is , where
is the rate of salt entering and
is the rate of salt going outside.
Then we have, , and
So we obtain. , then
, and using the integrating factor
, therefore
, we get
, after integrating both sides
, therefore
, to find
we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions
, so
Finally we can write an expression for the amount of salt in the tank at any time t, it is
b) The tank will overflow due Rin>Rout, at a rate of , due we have 500 L to overflow
, so we can evualuate the expression of a)
, is the salt concentration when the tank overflows