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3 years ago

10

One angle of a triangle has a measure of 3 times as large as the smallest. The measurement of the 3rd angle is 40 degrees more t

han that of the smallest..what is the measurement of the largest angle?

1 answer:

MrMuchimi3 years ago

3 0

The largest of the three angles is 84°.

Hope this helps! :)

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For what value(s) of k is the linear system consistent? (Enter your answers as a comma-separated list.)

AleksAgata [21]

Answer:

Step-by-step explanation:

Given

$6x_1-9x_2=8$

$9x_1+kx_2=-1$

The given system is $AX=B$ can be represented by

$\begin{bmatrix}6 &-9 \\ 9 & k\end{bmatrix}\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}8\\ -1\end{bmatrix}$

The given system is consistent when determinant of A is not equal to zero

$|A|$

$|A|=6k-(-81)=6k+81$

$k\neq \frac{-27}{2}$

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$R-\frac{-27}{2}$

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4 years ago

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7 less than 4 times a number is 5 less than 6 times the same number. Find the number.

Alex73 [517]

Answer: -1

Step-by-step explanation:

(4*X-7) = (6X -5)

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3 years ago

Square root of 648.7209 by division method

SpyIntel [72]

Answer:

$25.47$

Step-by-step explanation:

This root can be rewritten as:

$\sqrt{\frac{6487209}{10000} }$

$\sqrt{\frac{6487209}{100^{2}} }$

$\frac{1}{100}\cdot \sqrt{6487209}$

Since 6487209 is a multple of 3, the expression can be rearranged as follows:

$\frac{1}{100}\cdot \sqrt{3\times 2162403}$

2162403 is also a multiple of 3, then:

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$\frac{3}{100}\cdot \sqrt{720801}$

720801 is a multiple of 3, then:

$\frac{3}{100}\cdot \sqrt{3\times 240267}$

240267 is a multiple of 3, then:

$\frac{3}{100}\times \sqrt{3^{2}\times 80089}$

$\frac{9}{100}\cdot \sqrt{80089}$

80089 is a multiple of 283, then:

$\frac{9}{100}\cdot \sqrt{283^{2}}$

$\frac{9\times 283}{100}$

$\frac{2547}{100}$

$25.47$

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4 years ago

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ss7ja [257]

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