What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid?

Mathematics

1 answer:

lana66690 [7]2 years ago

3 0

Answer:

The effect of doubling all the dimensions of a triangular pyramid will have on the volume of the pyramid is to increase it by 8 times.

Step-by-step explanation:

i) volume of triangular pyramid = $\frac{1}{3}$ $\times$ Area $\times$ height

= $\frac{1}{3}$ $\times$ (Base of triangle $\times$ perpendicular height of triangle) $\times$ height

ii) if we double all the dimensions then the three variables((Base of triangle, perpendicular height of triangle, height of pyramid) will be doubled

and the volume of the new pyramid will be 8 times that of the original one.

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AURORKA [14]

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2 years ago

Line segment TS is tangent to circle O at point N.

garik1379 [7]

Answer:

148°

Step-by-step explanation:

The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.

arc QN = 2(74°) = 148°

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<em>Comment on the question and answer</em>

Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.

We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.