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Margaret [11]
2 years ago
5

How do you know if a net will fold into a pyramid?

Mathematics
1 answer:
Natalka [10]2 years ago
4 0

Step-by-step explanation:

A pyramid is made when 4 triangle meet on square then mate on each together .

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With bases V1, V2 , V3 andw1, w2 , W3, suppose T(v1) = w2 and T(v2) = T(v3) = w1 + w3 . T is a linear transformation. Find the m
Roman55 [17]

Answer:

See picture and explanation below.

Step-by-step explanation:

With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.

A is defined as T=([T(v_1)] [T(v_2] [T(v_3)])\text{ where }[T(v_i)] denotes the vector of coordinates of T(v_i) respect to the basis (we can apply this definition because forms a basis for the domain of T).

The vector of coordinates can be computed in the following way: if T(v_i)=a_1w_1+a_2w_2+a_3w_3 then [T(v_i)]=(a_1,a_2,a_3)^t.

Note that we have all the required information: T(v_1)=0w_1+1\cdot w_2+0w_3 then [T(v_1)]=(0,1,0)^t

T(v_2)=T(v_3)=1\cdot w_1+0w_2+0w_3 hence [T(v_2)]=[T(v_3)]=(1,0,0)^t

The matrix A is on the picture attached, with the multiplication A(1,1,1).

Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:

T(v_1+v_2+v_3)=T(v_1)+T(v_2)+T(v_3)=w_2+w_1+w_1=w_2+2w_1  

In this last case, we can either use the linearity of T or multiply by A.

4 0
3 years ago
Samantha works at a nursery where she pots plants. It takes her 112 hours to pot 12 plants. Question 1 Part A How many plants ca
PolarNik [594]

Answer:

9

Step-by-step explanation:

112/12= 9.3

3 0
3 years ago
The volume of a cuboid is 32cm^2 Two of the lengths are 4cm and 2cm, what is the missing length?
andrew-mc [135]

Answer:

4 cm

Step-by-step explanation:

to find the volume you multiply the lengths of all three sides together:

let 'm' = missing side

32 = 4·2·m

32 = 8m

m = 4

5 0
3 years ago
Read 2 more answers
Consider the following scenario:
shusha [124]

C. The number of times a dessert was offered at a special price.

8 0
3 years ago
Read 2 more answers
(7,-9) and (-3,-6)<br> Find the slope
kow [346]

Answer:

-3/10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-6-(-9))/(-3-7)

m=(-6+9)/-10

m=3/-10

m=-3/10

7 0
3 years ago
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