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3 years ago

In the Changing Dimensions of 3D Figures

Mathematics

1 answer:

den301095 [7]3 years ago

7 0

Answer:factor of 9

Step-by-step explanation:

Given

prism were changed by a scale factor of 3

Suppose prism is rectangular in shape

So surface are is $S.A.=2(lw+wb+lb)$

Where l=length

w=width

b=breadth

So new length,breadth and width is

$l'=3l$

$w'=3w$

$b'=3b$

$S.A.=2(3\times 3lw+3\times 3wb+3\times 3lb)$

$S.A.=2\times 3^2(lw+wb+lb)$

$S.A.=3^2\times 2(lw+wb+lb)$

So new surface area would change by a factor of 9

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amid [387]

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Step-by-step explanation: To solve this problem, it's important to understand that the diagonals of a parallelogram bisect each other.

This means that E is the midpoint of diagonal SQ.

So we can setup the equation x² + 9x = 4x + 6.

To solve this polynomial equation, set it equal to zero first.

So we have x² + 5x - 6 = 0 and we get (x + 6)(x - 1) = 0

when we factor the left side of the equation.

So this means that x = -6 or x = 1.

However, -6 will give us a negative length when we plug it in

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slavikrds [6]

Answer: I think this is right

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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oksian1 [2.3K]

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Step-by-step explanation:

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3 years ago

Please answer and explain how you did it.

alukav5142 [94]

Refer to the attached image.

Given: $m \angle A = 65^\circ$ and measure of exterior angle at C = $117^\circ$ .

We have to determine the measure of angle B and angle BCA.

By applying exterior angle property of the triangle which states:

"An exterior angle of a triangle is equal to the sum of the opposite interior angles".

So, exterior angle C = $m \angle A + m \angle B$

$117^\circ = 65^\circ+ m \angle B$

$m \angle B = 52^\circ$

Now, applying angle sum property in triangle ABC which states:

"The sum of all the angles of a triangle is 180 degrees".

$m \angle A + m \angle B + m \angle BCA = 180^\circ$

$65^\circ + 52^\circ + m \angle BCA = 180^\circ$

$117^\circ + m \angle BCA = 180^\circ$

$m \angle BCA = 180^\circ - 117^\circ$

$m \angle BCA =63^\circ$

Therefore, the measure of $m \angle B = 52^\circ$ and $m \angle BCA =63^\circ$ .

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3 years ago