Supplementary angles add up to 180, so
6x+60+90 = 180 and solve for x
6x= 30
x=5
<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.
If half the sum of the bases is multiplied by the height, then that is the area of the trapezoid.
I believe this is the correct wording.
I am pretty sure these statements are created by taking the last part of the statement and pairing it with the “if” and the first part of the statement and pairing it with a “then” to make a complete statement.
I hope this helps! :)
Answer:
0.00998 Inches
Step-by-step explanation:
Thickness of the light bulb filament = 0.01 Inch
Allowable error = 2%.
2% of 0.01 = 0.02 X 0.01 =0.0002 Inch
Therefore, the allowable thickness of the bulb filament
We can then calculate the least allowable thickness of the filament as:
The least allowable thickness of the filament is 0.00998 Inches.
Answer:
X=1 9/10
Step-by-step explanation:
6X multiply 2 - 2X=19
Calculate the product
12X-2X=19
Collect the like terms
10X=19
Divide both sides of the equation by 10
X=19/10
Simplify the improper fraction
X=1 9/10
