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3 years ago

Look at the triangular prism below. Each triangular face or the

Mathematics

2 answers:

Goryan [66]3 years ago

7 0

Answer:

The volume of the triangular prism is $V=72\ cm^3$

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

$V=BL$

where

B is the area of the triangular face

L is the length of the prism

step 1

Find the area of the triangular face

The area of a triangle is equal to

$B=\frac{1}{2} bh$

we have

$b=3\ cm\\h=4\ cm$

substitute

$B=\frac{1}{2}(3)(4)=6\ cm^2$

step 2

Find the volume

we have

$B=6\ cm^2$

$L=12\ cm$

substitute in the formula of volume

$V=6(12)$

$V=72\ cm^3$

Jlenok [28]3 years ago

6 0

Answer:

The volume of the triangular prism is V=72\ cm^3

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Is x + 5 less than 4

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Answer:

Yes, if x < -1

Step-by-step explanation:

Is x + 5 less than 4?

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x < 4 - 5

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Yes, if x < -1

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3 years ago

Please help please please

monitta

Answer:

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Step-by-step explanation:

If X=10, we can put 10 in for x in the equation.

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3 years ago

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n

aliya0001 [1]

Answer:

$f(x)=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}$

Step-by-step explanation:

The Maclaurin series of a function f(x) is the Taylor series of the function of the series around zero which is given by

$f(x)=f(0)+f^{\prime}(0)x+f^{\prime \prime}(0)\dfrac{x^2}{2!}+ ...+f^{(n)}(0)\dfrac{x^n}{n!}+...$

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Now, if we compute the n-th derivative at 0 we get

$f(0)=\ln(1+2\cdot 0)=\ln(1)=0\\\\f^{\prime}(0)=2 \cdot 1 =2\\\\f^{(2)}(0)=2^{2}\cdot(-1)\\\\f^{(3)}(0)=2^{3}\cdot (-1)^2\cdot 2\\\\...\\\\f^{(n)}(0)=2^n\cdot(-1)^{(n-1)}\cdot (n-1)!$

and so the Maclaurin series for f(x)=ln(1+2x) is given by

$f(x)=0+2x-2^2\dfrac{x^2}{2!}+2^3\cdot 2! \dfrac{x^3}{3!}+...+(-1)^{(n-1)}(n-1)!\cdot 2^n\dfrac{x^n}{n!}+...\\\\= 0 + 2x -2^2 \dfrac{x^2}{2!}+2^3\dfrac{x^3}{3!}+...+(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}+...\\\\=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^n\dfrac{x^n}{n}$

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3 years ago

What is the result of gaining 10 pound then losing 20

kiruha [24]

Answer:

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Step-by-step explanation:

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3 years ago