If c is the longest side, then c must be equal to 10 in order to have a right triangle. This is due to the pythagorean theorem
a^2+b^2 = c^2
6^2+8^2 = c^2
36+64 = c^2
100 = c^2
c^2 = 100
sqrt(c^2) = sqrt(100) ... apply square root to both sides
c = sqrt(100)
c = 10
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So if we know that c = 10, then the side lengths 6,8,c form a right triangle.
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)
nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165
This will be used in the formula below
Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624
The final answer here is choice C) -624
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Answer:
Red is 3/10
yellow is 1/3
Step-by-step explanation:
since there is 10 marbles all together it will be out of 10
and since there is 3 red marbles the probability is 3/10
but when you take out one of the marbles the total amount of marbles in the bag is 9. since there is 3 yellow marbles in the bag it would be 3/9 which can be simplified to 1/3
