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jolli1 [7]
3 years ago
6

Given the triangle below, tell me if it's a right triangle or not. Then, explain your answer with evidence.

Mathematics
1 answer:
padilas [110]3 years ago
6 0
No because the triangle’s angle is less than 90 degrees if it was a right angle triangle it would have a square marking the angle.
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Mary has five-eighths of the total of pencils her and her sister own. Together, they have 96 pencils. How many pencils does Mary
olga55 [171]
60 pencils. It’s a ratio. 60/96 can be simplified down to 5/8
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During a relay, Natasha swam 0.8 km and Kevin swam 500 m. How many meters did they swim in total?
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Read 2 more answers
Which of the following geometric series converges?
Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is

S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}

Multiply both sides by <em>r</em> :

rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n

Subtract the latter sum from the first, which eliminates all but the first and last terms:

S_n-rS_n=a-ar^n

Solve for S_n:

(1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}

Then as gets arbitrarily large, the term r^n will converge to 0, leaving us with

S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

8 0
3 years ago
You roll a number cube twice first roll is a four second roll I roll a even number is that a defendant or independent situation
Katyanochek1 [597]
Independent because the ratio of the second cube is the same (1:6), and it isn't affected by the result of the first cube
7 0
3 years ago
Find all 2-digit natural numbers that have exactly three factors.
natali 33 [55]

Answer:

25,49.

Step-by-step explanation:

8 0
3 years ago
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