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3 years ago

Triangle LMN is similar to triangle PQR. Which of the following sets of side lengths could be those of triangle LMN.

Mathematics

2 answers:

Svetllana [295]3 years ago

6 0

The answer is B

9in, 12in, 15in
Because similar means that their components are factors of each other.

Neko [114]3 years ago

6 0

Answer:

The correct option is B.

Step-by-step explanation:

The corresponding sides of similar triangles are proportional.

It is given that triangle LMN is similar to triangle PQR. It means

$\frac{LM}{PQ}=\frac{MN}{QR}=\frac{LN}{PR}$

The length of sides of triangle PQR: 3 cm, 4 cm, 5 cm.

$\frac{8}{3}\neq \frac{15}{4}$

Option A is incorrect.

$\frac{9}{3}=\frac{12}{4}=\frac{15}{5}=3$

Therefore the correct option is B.

$\frac{6}{3}\neq \frac{7}{4}$

Option C is incorrect.

$\frac{2}{3}\neq \frac{3}{4}$

Option D is incorrect.

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At a local swimming pool, the diving board is elevated h = 9.5 m above the pool's surface and overhangs the pool edge by L = 2 m

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<h2>Answer:</h2>

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<h2>Step-by-step explanation:</h2>

In the question,

Taking the elevation of pool along the y-axis, and length of the board along the x-axis.

On drawing the illustration in the co-ordinate system we get,

lₓ = 2 m

uₓ = 2.5 m/s

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$h_{y}=9.5\,m$

So,

From the equations of the laws of motion we can state that,

$s_{y}=u_{y}t+\frac{1}{2}a_{y}t^{2}$

So,

On putting the values we can say that,

$s_{y}=u_{y}t+\frac{1}{2}a_{y}t^{2}\\9.5=(0)t+\frac{1}{2}(9.8)t^{2}\\t^{2}=\frac{9.5}{4.9}\\t^{2}=1.93\\t=1.39\,s$

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The <u>equation of the motion in the horizontal</u> can be given by,

$v_{x}=u_{x}+a_{x}t\\v_{x}=2.5+a_{x}(1.39)\\So,\\v_{x}=1.39a_{x}+2.5$

<em><u>Therefore, the equations of the motions in the horizontal and verticals are,</u></em>

$s_{y}=u_{y}t+\frac{1}{2}a_{y}t^{2}\\9.5=4.9t^{2}$

and,

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