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3 years ago

Find the volume. 986 m3 3,360 m3 408 m3 1,680 m3

Mathematics

1 answer:

Jobisdone [24]3 years ago

4 0

Answer:

The volume is $1,680\ m^3$

Step-by-step explanation:

we know that

The volume of a triangular prism is

$V=BL$

where

B is the area of the triangular base

L is the length of the prism

we have

$B=\frac{1}{2}(28)(12)=168\ m^2$

$L=10\ m$ ----> perpendicular distance between the two triangular bases

substitute

$V=(168)(10)=1,680\ m^3$

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4 years ago

Analyze the end behavior of each function below. Then, choose one of the functions, and explain how you determined

kumpel [21]

Answer:

End behavior of a polynomial function depended on the degree and its leading coefficient.

1. If degree is even and leading coefficient is positive then

$p(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

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2. If degree is even and leading coefficient is negative then

$p(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

$p(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

3. If degree is odd and leading coefficient is positive then

$p(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

$p(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

4. If degree is odd and leading coefficient is negative then

$p(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

$p(x)\rightarrow \infty\text{ as }x\rightarrow -\infty$

(a)

$f(x)=x^4$

Here, degree is even and leading coefficient is positive.

$f(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

$f(x)\rightarrow \infty\text{ as }x\rightarrow -\infty$

(b)

$g(x)=-x^4$

Here, degree is even and leading coefficient is negative.

$g(x)\rightarrow -\infty\text{ as }x\rightarrow \infty$

$g(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty$

(c)

$h(x)=x^3$

Here, degree is odd and leading coefficient is positive.

$h(x)\rightarrow \infty\text{ as }x\rightarrow \infty$

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$k(x)=-x^3$

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3 years ago

How do you reduce the ratio 4:80

4vir4ik [10]

You reduce by since they are even number you divide each by 2, 2:40, if you can still divide then do so, it simplifies to 1:20

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3 years ago

Britta bought some carrots and apples for $24.80. A carrot and an apple cost .90 cents all together. She bought more carrots tha

MrRissso [65]

Answer:

Step-by-step explanation:

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18/ .90=20 that means she got 20 apples and 20 carrots before she added $6.80 to buy some extra carrots

Thus, the number of apples Britta bought = 20

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3 years ago

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Fiesta28 [93]

Answer:

About 28.26 inches.

Step-by-step explanation:

The formula for circumfrence is c = 2(pi) * r.

We know that r = 4.5 (because the diameter is 9 inches).

So, the equation is c = 2(pi) * 4.5

Let's solve:

c = (2*3.14) * 4.5

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c = 28.26

Therefore, the final answer is 28.26 inches.

Of course, this is not exact because pi is irrational and goes on forever, but the question is asking for an estimate anyways.

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3 years ago

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