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3 years ago

PLEASE HELP I NEEED ANSWER.. ASAP

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

3 0

Answer:

Step-by-step explanation:

Triangle IGH is a right angle triangle.

From the given right angle triangle

GI represents the hypotenuse of the right angle triangle.

With m∠I as the reference angle,

HI represents the adjacent side of the right angle triangle.

GH represents the opposite side of the right angle triangle.

To determine Hl, we would apply the tangent trigonometric ratio

Tan θ = opposite side/adjacent side. Therefore,

Tan 42 = 11/HI

0.9HI = 11

HI = 11/0.9

HI = 12.22

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Answer:

The best estimate of the area of the larger figure is $693\ cm^{2}$

Step-by-step explanation:

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<em>Find the scale factor</em>

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If two figures are similar, then the ratio of its areas is equal to the scale factor squared

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harkovskaia [24]

Answer:

(a)First Row, First Column =1

(b)First Row, second Column =0

(c)Second Row, First Column =0

(d)Second Row, second Column =1

Step-by-step explanation:

Given matrix $M=\left(\begin{array}{ccc}-5&3\\-8&5\end{array}\right)$

The Inverse of a 2X2 matrix

$A=\left(\begin{array}{ccc}a&b\\c&d\end{array}\right)$

can be found using the following:

$A^{-1}=\dfrac{1}{ad-bc} \left(\begin{array}{ccc}d&-b\\-c&a\end{array}\right)$

Therefore:

$M^{-1}=\dfrac{1}{(5*-5)-(3*-8)} \left(\begin{array}{ccc}5&-3\\8&-5\end{array}\right)\\=-1\left(\begin{array}{ccc}5&-3\\8&-5\end{array}\right)\\=\left(\begin{array}{ccc}-5&3\\-8&5\end{array}\right)$

Next, we find the product $M^{-1}M$

$M^{-1}M=\left(\begin{array}{ccc}-5&3\\-8&5\end{array}\right)\left(\begin{array}{ccc}-5&3\\-8&5\end{array}\right)\\=\left(\begin{array}{ccc}-5*-5+3*-8&-5*3+3*5\\-8*-5+5*-8&-8*3+5*5\end{array}\right)\\=\left(\begin{array}{ccc}1&0\\0&1\end{array}\right)$

Therefore:

(a)First Row, First Column =1

(b)First Row, second Column =0

(c)Second Row, First Column =0

(d)Second Row, second Column =1

NOTE: The multiplication of a matrix and its inverse always gives the identity matrix as seen above,

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