Answer:
Length of Bar JK=l
Bar (JK) is dilated by a scale factor of n, having origin as the center of dilation.
New line segment formed named bar (J'K').
As given slope of bar(JK) =m
When we dilate a line segment with respect to origin , having origin as the center of dilation, there is no effect of slope on Dilation.
Length of bar (J'K')= (Length of bar JK)×(Scale factor)
= l×n Or n×l
Option (D) is correct.
Answer:
D. The area to the left of 7.5
Step-by-step explanation:
If fewer than 8 passengers do not show up for a flight, then at most 7 passengers do not show up for a flight. Therefore, applying continuity correction, the area under the curve must comprehend from zero to seven passengers not showing up, but not the 8th passenger. Thus, the area must be to the left of 7.5.
The answer is D. The area to the left of 7.5.
Answer:
34.43
Step-by-step explanation:
A differential of length in terms of t will be ...
dL(t) = √(x'(t)^2 +y'(t)^2)
where ...
x'(t) = 4cos(4t)
y'(t) = 7cos(7t)
The length of c(t) will be the integral of this differential on the interval [0, 2π].
Dividing that interval into 10 equal pieces means each one has a width of (2π)/10 = π/5. The midpoint of pieces numbered 1 to 10 will be ...
(π/5)(n -1/2), so the area of the piece will be ...
sub-interval area ≈ (π/5)·dL((π/5)(n -1/2))
It is convenient to let a spreadsheet or graphing calculator do the function evaluation and summing of areas.
__
The attachment shows the curve c(t) whose length we are estimating (red), and the differential length function (blue) we are integrating. We use the function p(n) to compute the midpoint of the sub-interval. The sum of sub-interval areas is shown as 34.43.
The length of the curve is estimated to be 34.43.
Answer:
$26 each
Step-by-step explanation:
To find the price of shirt 5 and 6, we first need to get the total amount spent for the first 4 shirts.
Initial amount = 4 x 14
Initial amount = $56
Now that we have the total price of the first 4 shirts, we then find the price of the shirts including the 5th and 6th shirt if the average cost per shirt shifted to $18.
Total amount = 6 x 18
Total amount = $108
We now then subtract the new amount to the initial amount to find the price of the 5th and 6th shirt together.
Total Shirt Price = $108 - $56
Total Shirt Price = $52
Now we divide the Shirt Price by two since there are two additional shirts.
Shirt Price = 52 / 2
Shirt Price = $26 each
So the 5th and 6th shirt both cost $26 each.
Answer:24=3+x i believe this correct
Step-by-step explanation:
