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NeX [460]
4 years ago
7

Please help. I need an explanation with the answer in the pictures is the question.

Mathematics
1 answer:
WITCHER [35]4 years ago
5 0

Answer:

4, 1, 6, 2, 3, 5

Step-by-step explanation:

When you have so many to do, it is convenient to let a calculator or spreadsheet do the math for you. The attached calculated the sums. Then the magnitudes needed to be calculated from those.

The numbers listed in the answer section are the order in which the resultant vectors appear in the ascending order list. That is, (u+2v-w)/6 appears first in the list.

_____

Each resultant is found by adding the given vectors with the given coefficients. For example, consider the first one on the list:

... -1/2u +5v = (-1/2)(9, -2) + 5(-1, 7)

... = (-9/2 -5, +1 +35) = (-19/2, 36)

Then the magnitude of it is found by adding the components according to the Pythagorean theorem. For the resultant just computed, the magnitude is ...

... √((-19/2)² +36²) = √(90.25 +1296) = √1386.25 ≈ 37.23

_____

In the attached, matrix multiplication is used to compute all 6 resultants at once. The 6 resultant vectors are the answer to that multiplication. The magnitudes are computed from these results as above.

I get the magnitudes of the resultants (to 2 decimal places) to be ...

37.23, 3.89, 42.04, 28.50, 32.04, 41.10

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7 0
3 years ago
The bar chart shows all the eye colours of students in a class. What fraction of the students have blue eyes? Give your answer i
Burka [1]

Answer:

1/29

Step-by-step explanation:

There are 29 students in total, and the students with blue eyes is only 1.

The fraction would be 1/29 and this is its simplest form.

5 0
3 years ago
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Zepler [3.9K]
= 3x(x^2-9)
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7 0
3 years ago
Confused, what am I supoosed to be doing here? x+10=18
Vanyuwa [196]

<u><em>Answer: x=8</em></u>

Step-by-step explanation:

subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

subtract by 10 from both sides of an equation.

x+10-10=18-10

simplify

18-10=8

<u><em>x=8</em></u>

Hope this helps!

Thanks!

Have a great day!

8 0
4 years ago
Read 2 more answers
Suppose you want to place a shelf that is 30 1/3 inches long in the center of a wall that is 45 3/4 inches wide. About how fare
mrs_skeptik [129]

Answer:

7.71 inches far from each edge of the wall you should place the shelf.

Step-by-step explanation:

Given:

\textrm{size of a shelf}=30\frac{1}{3} =\frac{91}{3}=30.33\ inches\\\textrm{size of a wall}=45\frac{3}{4} =\frac{183}{4}=45.75\ inches\\

Let,

AB = distance between the edges or distance of wall.

ED = size of the shelf.

C is the centre of the wall.

To Find:

Distance from the edge of the wall to the shelf, when the shell is placed at the center of the wall.

AE = DB = ?

Solution:

As we need to place the shelf exactly in the center.

First we will calculate the  distance from the center of the wall to the edge.

So the distance from the centre of the wall to the edge will be exactly half of the size of the wall.

CB = \frac{1}{2}\times AB\\ =\frac{1}{2}\times 45.75\\\therefore CB=22.875\ inches

now the distance from the centre to the end of the shelf will be exactly half of the size of the shelf.

CE = \frac{1}{2}\times DE\\ =\frac{1}{2}\times 30.33\\\therefore CB=15.165\ inches

Now we want to calculate the distance from the edge of the wall to the shelf,that is the distance from the end of the shelf to the edge of the wall.

AE=BD= BC-CD\\=22.875-15.165\\=7.71\ inches\\\therefore AE = BD = 7.71\ inches

Therefore, 7.71 inches far from each edge of the wall you should place the shelf.

5 0
3 years ago
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