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TEA [102]
3 years ago
7

Anyone helppp meee please ....

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0
Yep, this one seems sneaky and confusing.  But it's not so bad if you remember the things you learned about parallel lines.  (It can't be too tough ... I learned them
in 1954 and I still know how to use them.)

Look at the picture.  Line ' l ' is parallel to line ' m ', and the horizontal line on the bottom (which is not labeled) is a transversal that cuts the parallel lines.

Did you learn that interior angles on the same side of the transversal are equal ?
I'm sure you did, although it may have a new name nowadays.

Anyway, with the help of that 'tool', angle-'B' and angle-'D' are equal.  So . . .

(angle-A + angle-B) = 120

angle-B = 65

angle-A = 120 - 65 = <u>55 degrees</u>.
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Use calculus to find the volume of the following solid S:
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S casts a "shadow" on the x-y plane given by the set

S' = \left\{(x,y) ~:~ -1 \le x \le 1 \text{ and } x^2 \le y \le 1\right\}

Each cross section is a square whose side length is determined by the vertical distance between y = 1 and y = x², which is |1 - x²|. But since -1 ≤ x ≤ 1, this distance simplifies to 1 - x².

The volume of an infinitesimally thin section is then (1 - x²)² ∆x (where ∆x represents its thickness), and so the volume of S is

\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = \int_{-1}^1 (1 - 2x^2 + x^4) \, dx

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\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = 2 \int_0^1 (1 - 2x^2 + x^4) \, dx = 2 \left(1 - \frac23 + \frac15\right) = \boxed{\frac{16}{15}}

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2 years ago
Can you provide step by step calculus problem help?
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we need more information

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3 years ago
If a whole number is divisible both by 6 and by 2 is it necessarily divisible by 12
Alexeev081 [22]
The divisibility rule for 12: A number is divisible by 12 if it's divisible by both 6 and 2. The reason for this is because 12 = 6 x 2. 

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Which states the following?
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Answer: its always

Step-by-step explanation:

If a point lies  in between  two end points of a line then the sum of distance between the points in between is always equal to the whole line.

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