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I am Lyosha [343]
3 years ago
9

What is the volume of the pyramid shown below?

Mathematics
1 answer:
kykrilka [37]3 years ago
3 0

Step-by-step explanation:

Given:

h=7in

w=9in

l=6in

Required:

v=?

Formula:

<em>v</em><em>=</em><em>l</em><em>*</em><em>w</em><em>*</em><em>h</em>

Solution:

v=l*w*h

v=6in*9in*7in

v=54in^2*7in

v=378in^3

Hope this helps ;) ❤❤❤

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Dilation is the process in which the dimensions of a given shape is increased or decreased by a scale factor. Therefore the answers to the questions are:

A. Since the dilation of triangle XYZ do not affect the measure of its internal angles, then the trigonometric ratios of respective internal angles are the same.

B. segment CB = 10

ii. segment AB = 11.18

From the given information in the question, triangle XYZ is an image of triangle ACB. In triangle XYZ, given that Sin X = ; it implies that its hypotenuse is 5.59, and the opposite side as 5. So that;

Sin X =

X =  0.8945

X  =

Thus,

<X + <Y + <Z =

+  + <Z =

<Z =  -

   =

<Z =

So then, the third side can be determined by applying the Pythagoras theorem.

=  +

=  +

=  -

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x =

 = 2.49962

x = 2.5

Thus,

Cos X =

          =

Cos X =

Tan X =

         =

Tan X =

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A. Considering triangles XYZ and ACB, the measure of their respective internal angles are the same.

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   <B ≅ <Z

   <C ≅ <Y

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                    = 2 x 5

segment CB = 10

ii. segment AB = 2 x segment XZ

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