Answer:
yes
Step-by-step explanation:
<h3>
Answer: 375</h3>
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Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
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As a sort of "check", we can add up partial sums like so
- 300+60 = 360
- 300+60+12 = 360+12 = 372
- 300+60+12+2.4 = 372+2.4 = 374.4
- 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88
and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
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Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
Answer:
6
Step-by-step explanation:
Firstly, this is the pythagoreans theorem a^2+b^2=c^2
Now that we know that, we will solve for x.
(x+2)^2+x^2=100 ( The 100 is just 10 squared )
Finally, you solve for x and get 6.
The correct answer is 8.
Hope this helped!
Answer:
See below
Step-by-step explanation:
15)
In the right-angle triangle, once one of the angles is 44º, then, the unknown angle is 
.
The angle 
of the other triangle plus the angle of the right-angle triangle is equal to 90º, therefore they are complementary angles.
So,
To find ?, we have
16)
The sum of the internal angles of the triangle with angles 50º and 25º is equal to 180º, therefore, the other angle is
Once the angles are opposite, they are the same. For the triangle with the 36º angle, we have
