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vova2212 [387]
3 years ago
13

Please help me!! I don’t know how to do this

Mathematics
1 answer:
Hatshy [7]3 years ago
3 0
If you look at the rectangle properly, you can see that the diagonal creates two triangles, and if we only focus on one triangle, we can see that the bad of the triangle is 7 and the perpendicular height is 4

Using Pythagorean theorem we can figure out the hypotenuse, or the diagonal
C squared is equal to a squared plus b squared

7^2+4^2 is 65

Square root of 65 is 8.1
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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
We draw a card from a standard deck. What is the probability that it is a Jack, Queen, King or it is red.
enyata [817]

Answer:

8/13 chance to get a jack, Queen, King or Red

3 0
3 years ago
Please help 21 points!!!!!
harina [27]

Step-by-step explanation:

The measure of angle y is 62°.

I solve this by

We know: Measures of interior angles in a triangle add up to 180°.

Therefore we have the equation:

60° + 58° + y = 180°

118° + y = 180°         <em>subtract 118° from both sides</em>

118° - 118° + y = 180° - 118°

y = 62°

The measure of angle x is 122°.

I solve this by

Angles 58° and x are supplementary angles.

Supplementary angles add up to 180°.

Therefore we have the equation:

x + 58° = 180°            <em>subtract 58° from both sides</em>

x + 58° - 58° = 180° - 58°

x = 122°

8 0
3 years ago
Which savings account can a financial institution end?
nataly862011 [7]
<span>The correct answer is 'callable certificate of deposit’. Financial institutions can recall these before they reach maturity. This avoids financial institutions having to pay more if interest rates go down.</span>
7 0
3 years ago
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I got shot in the Hebrew morning I was going on the same day lol I was going on the balls in
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