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Yuliya22 [10]
3 years ago
8

The chart given here lists the amount of rainfall received in centimeters in each month. By how much is the combined rainfall re

ceived in January and February less than the combined rainfall received in the months of April and May?
A. 34 cm
B. 23 cm
C. 18 cm
D. 12 cm
I will give brainliest if you answer this question under 2 minutes
And btw, NO FILES OR I WILL REPORT YOU

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0
It is B:23 centimeters 54+56=110. 63+70=133 133-110= 23c
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Find two unit vectors orthogonal to both 8, 5, 1 and −1, 1, 0 .
Elina [12.6K]
In order to do this, you must first find the "cross product" of these vectors. To do that, we can use several methods. To simplify this first, I suggest you compute:

‹1, -1, 1› × ‹0, 1, 1›

You are interested in vectors orthogonal to the originals, which don't change when you scale them. Using 0,-1,1 is much easier than 6s and 7s.

So what methods are there to compute this? You can review them here (or presumably in your class notes or textbook):
http://en.wikipedia.org/wiki/Cross_produ...

In addition to these methods, sometimes I like to set up:
‹1, -1, 1› • ‹a, b, c› = 0
‹0, 1, 1› • ‹a, b, c› = 0

That is the dot product, and having these dot products equal zero guarantees orthogonality. You can convert that to:

a - b + c = 0
b + c = 0

This is two equations, three unknowns, so you can solve it with one free parameter:

b = -c
a = c - b = -2c

The computation, regardless of method, yields:
‹1, -1, 1› × ‹0, 1, 1› = ‹-2, -1, 1›

The above method, solving equations, works because you'd just plug in c=1 to obtain this solution. However, it is not a unit vector. There will always be two unit vectors (if you find one, then its negative will be the other of course). To find the unit vector, we need to find the magnitude of our vector:

|| ‹-2, -1, 1› || = √( (-2)² + (-1)² + (1)² ) = √( 4 + 1 + 1 ) = √6

Then we divide that vector by its magnitude to yield one solution:

‹ -2/√6 , -1/√6 , 1/√6 ›

And take the negative for the other:

‹ 2/√6 , 1/√6 , -1/√6 ›
7 0
3 years ago
Mindy and Troy combined ate 99 pieces of the wedding cake. Mindy ate 3 pieces of cake and Troy had 1/4 of the total cake.
Allushta [10]

It doesn't give the entire question,  Do they want to know how many pieces were in the total cake?  If so, I think it would be 384.  You subtract the 3 pieces that Mindy ate and that leaves 96 that Tony had which was supposed to be 1/4 of the cake.  Dividing the cake into 4 sections of 96 and multiplying would give you 384.


If they want to know how many slices of cake were left after Tony ate the fourth (96 slices), it would be 288

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3 years ago
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The answer should be y=3x+18
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