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GenaCL600 [577]
3 years ago
9

Can someone pls help ASAP

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
3 0

Answer:

89.44

Step-by-step explanation:

using the Pythagorean Theorem: a^{2} +b^{2}=c^{2}

80^{2} +b^{2} =120^{2} \\6400+b^{2} =14400\\b^{2}  = 8000\\b = 40\sqrt{5}

120 is the hypotenuse so it would be c in the equation.

To solve, I simplified and isolated the variable. I got the square root of 8000 simplified (but idk how to write that out lol)

This answer is closest to 89.44

*Hope this helped! Have a great day/ night wherever you are! : )*

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soldi70 [24.7K]

Answer:

dim L = dim U = \frac{n(n+1)}{2}

Step-by-step explanation:

We can do it only for the lower-triangular matrices, the case of the upper-triangular matrices is similar. We might caracterice nxn the lower-triangular matrices, as the nxn matrices A=(a_{ij}) such that the entry a_{ij}=0 if i<j.

Now let A=(a_{ij}) and B=(b_{ij}) be two lower triangular matrices, now if

C=A+\lambda  B for some \lambda \in \mathbb{F}

then the entry c_{ij} of C is equal to

c_{ij}=a_{ij}+\lambda b_{ij}

Now, if i<j, it must hold that a_{ij}=0 \quad \text{and} \quad b_{ij}=0. Therefore, if this is the case we must have that c_{ij}=0 and so we get that C is also a lower triangular matrix. This showa that L is closed under sum and scalar multiplcation, hence it is a linear subspace.

To find the dimension, note that all the entries of a lower-triangular matrix over the diagonal must be equal to zero. However, each entry of the matrix under the diagonal and in the diagonal might be any element of \mathbb{F}, any entry that can be choosen add up to the dimension of L, we n such elemnts for the first column, (n-1) for the second column, (n-2) for the third column etc.... Therefore,

\dimL=n+(n-1)+(n-2)+...+2+1=\dfrac{n(n+1)}{2}

5 0
2 years ago
How much money will she have if she doesn't buy any<br> packs of baseball cards?
nignag [31]

Answer:

20

Step-by-step explanation:

I just took test let me know if I’m wrong but I’m 100 perfect I’m right

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3 years ago
A railway engine starts shunting wagons by first going 1000m north of railway station. It reverses and travels 1250m and then it
Ainat [17]

Answer:

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Step-by-step explanation:

Total distance traveled Northward :

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8 0
2 years ago
Help me plz!!!!! I have no ideia how to do this
BlackZzzverrR [31]

Answer:

<h2>x² = -3</h2>

Step-by-step explanation:

In algebra, the goal is always to isolate the variable, so its value can be determined.

<h3>Step 1: Subtract 21</h3>

7x² = -21

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4 0
3 years ago
What is the interest you will pay if you borrowed $120 at 5% interest for 6 years?
kobusy [5.1K]

Answer:

Hope this helps!

Step-by-step explanation:

We will need the loan payment formula:

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Since the principal you borrowed is $120 the total interest =

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6 0
3 years ago
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