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2 years ago

8

Find the length of GI in the triangle below. Please explain how you got the answer if possible because I'm super confused, thank

s!!

1 answer:

Katyanochek1 [597]2 years ago

5 0

Answer:

90

Step-by-step explanation:

From the question given above, the following data were obtained:

Length GH = i = 60

Lenght HI = g = 42

Angle H = 123°

Length (GI) = h =?

Thus the length GI (i.e h) can be obtained by using the cosine rule formula as shown below:

h² = i² + g² – 2ig Cos H

h² = 60² + 42² – 2 × 60 × 42 × Cos 123

h² = 3600 + 1764 – (5040 × –0.5446)

h² = 5364 – (–2744.784)

h² = 5364 + 2744.784

h² = 8108.784

Take the square root of both side

h = √8108.784

h = 90

Thus, the Lenght of GI is 90

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Answer:

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Step-by-step explanation:

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3 years ago

(12x + y + z = 26

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Option D. D has the matrix of constants [[12], [11], [4]].

Step-by-step explanation:

Step 1:

With the given equations, we can form matrices to represent them.

The coefficients of x, y, and z form a matrix of order 3 ×3, the variables x, y, and z form a matrix of order 1 ×3 and the constants form a matrix of order 1 ×3.

Step 2:

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$\left[\begin{array}{ccc}12&1&1\\1&-11&0\\1&-1&4\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ $= \left[\begin{array}{ccc}26\\17\\23\end{array}\right]$ .

Step 3:

The linear system B is represented as

$\left[\begin{array}{ccc}4&1&1\\1&-11&0\\1&-1&12\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ $= \left[\begin{array}{ccc}23\\17\\26\end{array}\right]$ .

Step 4:

The linear system C is represented as

$\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ $= \left[\begin{array}{ccc}4\\11\\12\end{array}\right]$ .

Step 5:

The linear system D is represented as

$\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right]$ $\left[\begin{array}{ccc}x\\y\\z\end{array}\right]$ $= \left[\begin{array}{ccc}12\\11\\4\end{array}\right]$ .

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2 years ago

The national mean sales price for a new one-family home is $181,900. A sample of 40 one-family homes in the south showed a sampl

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Answer:

a

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The alternative hypothesis is $\mu < \$ 181.900$

b

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c

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d

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Step-by-step explanation:

From the question we are told that

The population mean is $\mu = \$ 181, 900$

The sample size is $n = 40$

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The sample standard deviation is $s= \$ 33, 500$

The null hypothesis is $\mu = \$181,900$

The alternative hypothesis is $\mu < \$ 181.900$

Generally the test statistics is mathematically represented as

$t = \frac{ \= x - \mu }{ \frac{s}{\sqrt{n} } }$

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=> $t = -2.92$

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=> $p-value = 0.0016948$

From the calculation we see that

$p-value > \alpha$ hence we fail to reject the null hypothesis

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