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vodka [1.7K]
2 years ago
11

A triangular prism has a base that is 15 cm2. Its height is 6 cm. What is its

Mathematics
1 answer:
Effectus [21]2 years ago
6 0

We know any prism has the below formula if volume

  • Area of base×Height

Here

  • Area of base=15cm^2
  • Height=6cm

\\ \rm\hookrightarrow V=15(6)=90cm^2

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Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se
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Answer:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

Step-by-step explanation:

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The expression to expand is given as:

(x-3)(x-9)(x-4)

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(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

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