2 years ago

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Mathematics

2 answers:

m_a_m_a [10]2 years ago

7 0

Answer:

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Step-by-step explanation:

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Arada [10]2 years ago

6 0

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Choose the correct simplification of the expression (−2x 8y)(9x − 3y).−18x2 78xy − 24y218x2 78xy − 24y2−18x2 − 78xy 24y2−18x2 72

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Find the distance between the point (3,1) and the line with the equation y=2x-5

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Answer:

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Step-by-step explanation:

Note that (3, 1) satisfies the equation y = 2x - 5:

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B is the correct answer.

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In triangle PQR, PR = 23mm, QR = 39mm, and m<R = 163 degrees. Find the area of the triangle to the nearest tenth.

Schach [20]

Answer: 131.1287 square mm (approx)

Step-by-step explanation:

The area of a triangle,

$A=\frac{1}{2} \times s_1\times s_2\times sin \theta$

Where $s_1$ and $s_2$ are adjacent sides and $\theta$ is the include angle of these sides,

Here PR and QR are adjacent sides and ∠R is the included angle of these sides,

Thus, we can write,

$s_1 = PR= 23\text{ mm}$ , $s_2=QR=39\text{ mm}$ and $\theta = 163^{\circ}$ ,

Thus, the area of the triangle PQR,

$A=\frac{1}{2} \times 23\times 39\times sin163^{\circ}$

$A=\frac{262.257419136}{2} = 131.128709568\approx 131.1287\text{ square mm}$

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2 years ago