Answer:
Sam can do the job in 20 min. So he can do the whole job at the rate of 1 job in 20 minutes.
So he does 1/20 of the job per minute.
.
Rob can do the job in 30 min. His rate is 1/30 of the job per minute.
.
Working together how does it take?
.
1/20*x + 1/30*x = 1 job done
, where x = minutes.
.
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
The two angles are alternate exterior and has same measurement
15(x+1) = 150 divide both sides by 15
x + 1 = 10 subtract 1 from both sides
x = 9
9514 1404 393
Answer:
7.4 . . . . between 7 and 8
Step-by-step explanation:
55 is between the perfect squares 49 = 7² and 64 = 8². Using linear interpolation, the square root is approximately 7 +(55-49)/(64-49) = 7 6/15 = 7.4
√55 ≈ 7.4 . . . . approximate root by linear interpolation
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<em>Additional comment</em>
A way to improve the estimate of the root is to use the "Babylonian method" of iterating the root. Divide the original number (55) by the estimate of the root, and average that result with the estimate:
next best guess = (55/7.4 +7.4)/2 = 7 77/185 ≈ 7.4162_162(repeating)
This matches the actual root when rounded to 4 decimal places. The number of accurate decimal places approximately doubles with each iteration.
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Another way to improve the estimate is to modify the fractional portion. (The above method converges on a root more quickly.) For this, the iteration of the fractional part of the root is ...
next fractional part = 6/(14 +(fractional part))
where 6/14 is the linear estimate fractional value with 1 subtracted from its denominator.
For one iteration, the new estimate of the fractional part is 6/(14 +6/15) = 5/12, so the root estimate is about 7.4167 compared to the above 7.4162.
Distance formula is derived from the Pythagorean theorem. To find the distance between two points (x1,y1) and (x2,y2), all that you need to do is use the coordinates of these ordered pairs and apply the formula to those points. So the formula would be:D=square root symbol(X1-X2)2+(Y1-Y2)2. Hope I've helped you any
Answer:
A
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
- 12 ÷ - 3 = - 48 ÷ - 12 = - 192 ÷ - 48 = 4
this indicates the sequence is geometric with nth term
= a₁ 
where a₁ is the first term and r the common ratio
here a₁ = - 3 and r = 4 , then
a₈ = - 3 × 
= - 3 × 16,384 = - 49,152
