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pav-90 [236]
3 years ago
14

Verify the property: a ×( b+c ) = ( a×b ) + ( a×c ) by taking a = 3/5 , b = -2 , c = 10/13

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer:

This is the distributive property

Step-by-step explanation:

You use the distributive property to allocate a number outside of the parentheses to inside the parentheses.

For this example, they distributed a to both b and c making it a*b + a*c

This will result in the same answer:

3/5(-2 + 10/13) = 3/5*-2 + 3/5*10/13

3/5(-1.23..) = -6/5 + 30/65 (..= approx)

approximately- 0.74  = -0.74

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Mateo built the skateboard ramp below and filled it with pebbles to make it more stable.
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Answer:

The shape can be broken into a rectangular prism and a triangular prism.

The volume of the ramp is 24 feet cubed.

Step-by-step explanation:

The ramp has a rectangular prism and triangular prism. The combined shape makes the ramp.

The volume of a rectangular prism = Bh

where

B = base area

B = length × width

h = height

volume = 1.5 × 4.8 × 2 = 14.4  ft³

The volume of a triangular prism = base area + slant height

volume = 1/2 b × h × l

where

b = base of the triangle

h = height of the triangle

l = slant height of the prism

volume = 1/2 × 2 × 2 × 4.8 = 19.2/2 = 9.6  ft³

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