-6(1-5v)=54. solve using distributive property

Mathematics

1 answer:

Rainbow [258]3 years ago

4 0

Answer:

v=2

Step-by-step explanation:

-6(1-5v)=54

distribute

-6 * 1 -6 *5v = 54

-6 + 30v =54

add 6 to each side

-6+6 + 30v = 54+6

30v = 60

divide by 30

30v/30 = 60/30

v =2

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The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases.

kolezko [41]

The correct question is
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. What is the volume of the composite figure?

the complete question in the attached figure

we know that
[volume of a cone]=[area of the base]*h/3
[area of the base]=22*10/2-------> 110 units²
h=19.5 units
[volume of a cone]=[110]*19.5/3------> 715 units³

[volume of a triangular prism]=[area of the base]*h
[area of the base]=110 units²
h=25 units
[volume of a a triangular prism]=[110]*25------------> 2750 units³

[volume of a the composite figure]=[volume of a cone]+[volume of a a triangular prism]

[volume of a the composite figure]=[715]+[2750]-------> 3465 units³

the answer is
The volume of a the composite figure is 3465 units³