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DanielleElmas [232]
4 years ago
11

HELP URGENT I WILL GIVE 20 POINTS

Mathematics
1 answer:
Lunna [17]4 years ago
8 0

h = 9.2 cm

Solution:

Base of smaller triangle = 5 cm

Height of smaller triangle = 2.3 cm

Base of larger triangle = 15 cm + 5 cm = 20 cm

Height of larger triangle = h

$\frac{2.3}{5}=\frac{h}{15+5}

$\frac{2.3}{5}=\frac{h}{20}

Multiply by 20 on both sides.

$20 \times \frac{2.3}{5}=\frac{h}{20} \times 20

$\frac{46}{5}=h

9.2 = h

So that Ryan should have add 15 and 5 to get a denominator of 20 on the right sides of the first line. Doing so gives the correct value, h = 9.2 cm.

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Answer

(a)

A^{-1} = \frac{1}{3493}  \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}

(b)

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Step-by-step explanation:

Remember that when you want to solve a problem like this, you express the equation as following

Ax = b

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For this case

A = \begin{pmatrix} 15 &&  5 && -1 \\ -5 && 18 && -6 \\ -4 && -1 && 12  \end{pmatrix}

Now for this case the inverse of A would be

A^{-1} = \frac{1}{3493}  \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix}

Then when you multiply with the vector solution

A^{-1} b =  \frac{1}{3493}  \begin{pmatrix} 210 && -59 && -12 \\ 84 && 176 && 95 \\ 77 && -5 && 295 \end{pmatrix} * \begin{pmatrix} 2400 \\ 3500 \\ 4000 \end{pmatrix} = \frac{1}{3493}  \begin{pmatrix} 249500 \\ 1197600 \\ 1347300 \end{pmatrix}\\\\\\= \begin{pmatrix} \frac{500}{7} \\\\ \frac{2400}{7} \\\\ \frac{2700}{7} \end{pmatrix}

So from that information you can conclude that  the solution to the system of equations is  x = 500/7   y = 2400/7  and z = 2700/7

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3 years ago
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Answer:

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Step-by-step explanation:

I hope this helps!

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