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algol [13]
3 years ago
10

Find the volume of a triangular pyramid with a base area of 24 ft2 and a height of 18 ft.

Mathematics
2 answers:
lara [203]3 years ago
6 0
The answer to that is 144 ft ^3.
Tems11 [23]3 years ago
4 0
Volume = (1/3) * base area * height
              = 1/3 * 24 * 18
              = 144 ft^3
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What is 30 percent of 2000 dollars?
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10% of $2,000 is $200.

30%=3*10%

Therefore:

30% of $2,000 is $600.
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Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.
galina1969 [7]

Answer:

All potential roots are 3,3 and -\frac{5}{3}.

Step-by-step explanation:

Potential roots of the polynomial is all possible roots of f(x).

f(x)=3x^3-13x^2-3x+45

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

p=All the positive/negative factors of 45

q=All the positive/negative factors of 3

p=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45

q=\pm 1,\pm 3

All possible roots

\frac{p}{q}=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45,\pm \frac{1}{3},\pm \frac{5}{3}

Now we check each rational root and see which are possible roots for given function.

f(1)= 3\times 1^3-13\times 1^2-3\times 1+45\Rightarrow 32\neq 0

f(-1)= 3\times (-1)^3-13\times (-1)^2-3\times (-1)+45\Rightarrow \neq 32

f(-3)= 3\times (-3)^3-13\times (-3)^2-3\times (-3)+45\Rightarrow \neq -144

f(3)= 3\times (3)^3-13\times (3)^2-3\times (3)+45\Rightarrow =0\\\\ \therefore x=3\text{ Potential roots of function}

Similarly, we will check for all value of p/q and we get

f(-5/3)=0

Thus, All potential roots are 3,3 and -\frac{5}{3}.


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3 years ago
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riadik2000 [5.3K]

Answer:

<h2>     no, because the remainder is 126</h2>

Step-by-step explanation:

if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0

calculating remainder:

-3(-3)^3+6(-3)^2+6(-3)+9=-3\cdot(-27)+6\cdot9-18+9=\\\\=81+54-9=126

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3 years ago
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san4es73 [151]

Answer:

18

Step-by-step explanation:

note when dividing the denominator and numerators changes position so when it changes it will be 3×6=18

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3 years ago
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