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vitfil [10]
3 years ago
13

Victor has 861 marbles he’s putting into bags with twenty five in each bag. How many marbles will have in the bag that isn’t ful

l?
Mathematics
1 answer:
Rashid [163]3 years ago
8 0
11 since you’d divide 861 by 25, but you’d still not get a whole number so you’d get that as a remainder. then you’d divide .44 by 25 and get 11, cause there was 25 marbles in each bag.
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At the end of an experiment, a rat weighed 3.1 times its original weight. If the rat originally weighed 5.8 ounces, about how mu
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B

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natta225 [31]
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\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=2}\int_{v=0}^{v=2\pi}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv
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=\displaystyle\frac{2\pi}{72}\int_{w=1}^{w=145}\sqrt w\,\mathrm dw
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7 0
3 years ago
Can anyone help me to understand how to solve coordinate proofs in Geometry?????
nataly862011 [7]

The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument.The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .For example, the following is a coordinate proof of the Triangle Midsegment Theorem , which states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and exactly half the length.Without loss of generality, we can assume that one side of the triangle lies on the xx -axis with one vertex at (0,0)(0,0) and the other vertex at(a,0)(a,0).Let the third vertex have the coordinates (b,c)(b,c) . We can assume without loss of generality that this third vertex lies in the first quadrant. (If it doesn't, you can just reflect the triangle over the xx - and/or yy -axis until it does.)

Example:

To Prove: XY¯¯¯¯¯¯XY¯ is parallel to PR¯¯¯¯¯PR¯ and

<span><span>XY=<span>12</span>PR</span><span>XY=<span>12</span>PR</span></span>

Proof:

Using the midpoint formula , the coordinates of the midpoints XX and YY are

<span><span><span>X<span>(<span><span><span>0+b</span>2</span>,<span><span>0+c</span>2</span></span>)</span>=X<span>(<span><span>b2</span>,<span>c2</span></span>)</span></span><span>Y<span>(<span><span><span>a+b</span>2</span>,<span><span>0+c</span>2</span></span>)</span>=Y<span>(<span><span><span>a+b</span>2</span>,<span>c2</span></span>)</span></span></span><span><span>X<span>(<span><span><span>0+b</span>2</span>,<span><span>0+c</span>2</span></span>)</span>=X<span>(<span><span>b2</span>,<span>c2</span></span>)</span></span><span>Y<span>(<span><span><span>a+b</span>2</span>,<span><span>0+c</span>2</span></span>)</span>=Y<span>(<span><span><span>a+b</span>2</span>,<span>c2</span></span>)</span></span></span></span>

First note that the <span>slope </span>is <span>00</span> , since

<span><span><span>m=<span>riserun</span></span><span>     =<span><span>(<span><span>c2</span>−<span>c2</span></span>)</span><span>(<span><span>b2</span>−<span>(<span><span>a+b</span>2</span>)</span></span>)</span></span></span><span>     =<span>0<span>(<span><span>b2</span>−<span>(<span><span>a+b</span>2</span>)</span></span>)</span></span></span><span>     =0</span></span><span><span>m=<span>riserun</span></span><span>     =<span><span>(<span><span>c2</span>−<span>c2</span></span>)</span><span>(<span><span>b2</span>−<span>(<span><span>a+b</span>2</span>)</span></span>)</span></span></span><span>     =<span>0<span>(<span><span>b2</span>−<span>(<span><span>a+b</span>2</span>)</span></span>)</span></span></span><span>     =0</span></span></span>

So, <span><span><span>XY</span><span>¯¯¯¯¯¯</span></span><span><span>XY</span>¯</span></span> is parallel to <span><span><span>PR</span><span>¯¯¯¯¯</span></span><span><span>PR</span>¯</span></span> .

Now, compare the lengths of the two segments.

<span><span><span>XY=<span><span>a+b</span>2</span>−<span>b2</span></span><span>        =<span>a2</span></span><span>PR=a−0</span><span>        =a</span></span><span><span>XY=<span><span>a+b</span>2</span>−<span>b2</span></span><span>        =<span>a2</span></span><span>PR=a−0</span><span>        =a</span></span></span>

So,

<span><span>XY=<span>12</span>PR</span><span>XY=<span>12</span>PR</span></span>

Thanks to google for example


hope this helps

8 0
3 years ago
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