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2 years ago

The ratio of the volumes of two similar solid polyhedra is equal to the square of the ratio between their edges. True or False?

Mathematics

2 answers:

Svetllana [295]2 years ago

5 0

Answer:

The given statement is false.

Step-by-step explanation:

The ratio of the volumes of two similar solid polyhedra is equal to the square of the ratio between their edges.

This statement is false.

A polyhedron is a shape that has no gaps between their edges or vertices. Like - a cube, prism, or pyramid.

Take in consideration, the cube.

Volume of cubes is given by = $side\times side\times side$ = $side^{3}$

A similar cube will be the one with same dimensions. So, in no way, their volume can be equal to the square of the ratio between their edges.

ad-work [718]2 years ago

3 0

Answer:

true

Step-by-step explanation:

t is true that; the ratio of the volumes of two similar solid polyhedra is equal to the cube of the ratio between their edges.

Explanation;

The ratio of the corresponding edges or sides or lengths of given similar solids is called the linear scale factor.

The linear scale factor can be used to determine the area scale factor which is the ratio of the area of the similar solids. such that; Area scale factor is given as the square of the linear scale factor; that is A.S.F = (L.S.F)².

Additionally, the linear scale factor can also be used to find the ratio of the volumes of similar solids, or what is called the volume scale factor; such that the volume scale factor is given by the cube of area scale factor.

Read more on Brainly.com - brainly.com/question/3947569#readmore

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Elena-2011 [213]

Answer:

503634

Step-by-step explanation:

The formula for calculating future value:

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2 years ago

Find the slope of a line parallel to the given line. y=4/5x+5

xeze [42]

Answer:

y = 4/5x

Step-by-step explanation:

Her ya go!

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2 years ago

Using the midpoint method, calculate the price elasticity of demand of Good Z using the following information: When the price of

exis [7]

Answer: (B) The price elasticity of demand for good Z = 0.86

Step-by-step explanation:

The formula for determining elasticity of demand by using the midpoint method is

(Q2 - Q1)/[(Q2 + Q1)/2] / (P2 - P1)/[(P2 + P1)/2]

Where

P1 is the initial price of the item.

P2 is the final price of the item.

Q1 is the initial quantity demanded for the item.

Q2 is the final quantity demanded for the item.

From the information given,

P1 = 10

P2 = 15

Q1 = 85

Q2 = 60

The price elasticity of demand for good Z = (60 - 85)/[(60 + 85)/2] / (15 - 10)/[(15 + 10)/2]

= (-25/72.5) / (5/12.5) = -25/72.5 × 12.5/5

= - 312.5/362.5 = - 0.86

6 0

3 years ago

Can i please get help with these

Kryger [21]

Answer:

7. x=3, 8. x=7, 9. x=15.

Step-by-step explanation:

7. If lines m and n are congruent, then angles DCF and CFE are congruent. 15x+3=18x-6. Solve for x. --> 15x+9=18x-->3x=9-->x=3

8.If line m is parallel to line n, then the corresponding angles are congruent. So, 20x+1=22x-13 Solve for x. 20x+14=22x-->14=2x-->x=7.

9. The supplementary angle of 110 is 70. Note that all of the inner angles of a triangle are equal to 180. Form an equation using the the values: (4x+8)+(2x+12)+70=180. Simplify; 6x+90=180. Solve for x: 6x+90=180-->6x=90-->x=15.

Hope this helps!

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2 years ago

What are the solutions to the quadratic equation -2x^2 + 6x + 3 = 0?

mario62 [17]

For this, we will be using the quadratic formula, which is $x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}$ , with a=x^2 coefficient, b=x coefficient, and c = constant. Our equation will look like this: $x=\frac{-6+/-\sqrt{6^2-4*(-2)*3}}{2*(-2)}$

Firstly, solve the multiplications and the exponents: $x=\frac{-6+/-\sqrt{36+24}}{-4}$

Next, do the addition: $x=\frac{-6+/-\sqrt{60}}{-4}$

Next, your equation will be split into two: $x=\frac{-6+\sqrt{60}}{-4},\frac{-6-\sqrt{60}}{-4}$ . Solve them separately, and your answer will be $x=-0.436,3.436$

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3 years ago