Answer:
12/25
Step-by-step explanation:
If you got 26 tails, that means you got 50 - 26 or 24 heads. The experimental probability can be represented by the desirable flips over the total number of flips. We are looking for heads, so the amount of heads is the amount of desirable flips, and the total is 50. From this, we get the fraction 24/50 which simplifies to 12/25.
This problem can be modeled by the picture shown below. We notice that we are given to side lengths, specifically legs, of the triangle. Therefore, we can use the Pythagorean Theorem, which states that a^2+b^2=c^2, where a and b are legs and c is the hypotenuse. So we can do:
16^2+12^2=c^2
256+144=c^2
400=c^2
The square root of 400 is
20, which is our hypotenuse.
(You might wonder why we used 12, that is because the whole base length is 24, but we only need half of the base to use the Pythagorean Theorem. 24/2 is 12).
:)
KE = 1/2(m * v^2)
KE = 1/2(1350 * 12^2)
KE = 1/2(1350 * 144)
KE = 1/2(194,400)
KE = 97,200 Joules
I want more points next time....Hehehee!
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<em>Solution in attachments!</em>
a perfect square trinomial, (x + y)² = x² + 2xy + y²
so, if we have the x of the bx, what is left is the b
the expression would have to be (x + 7)², since we have the 49 and the x²
so, what's left: x² + 14x + 49,
b = 14
<em>hope it helps :)</em>