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andrew11 [14]
3 years ago
9

Please help me with this math question.

Mathematics
1 answer:
alex41 [277]3 years ago
5 0

Answer:

275 m^3

Step-by-step explanation:

The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.

First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.

In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.

Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so

V=(1/3)(75/2)*22=275

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Answer:

  9.  ±1, ±2, ±3, ±6

  11.  ±1, ±2, ±3, ±4, ±6, ±12

Step-by-step explanation:

The possible rational roots are (plus or minus) the divisors of the constant term, divided by the divisors of the leading coefficient.

Here, the leading coefficient is 1 in each case, so the possible rational roots are plus or minus a divisor of the constant term.

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9. The constant is -6. Divisors of 6 are 1, 2, 3, 6. The possible rational roots are ...

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11. The constant is 12. Divisors of 12 are 1, 2, 3, 4, 6, 12. The possible rational roots are ...

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A graphing calculator is useful for seeing if any of these values actually are roots of the equation. (The 4th-degree equation will have 2 complex roots.)

8 0
3 years ago
Find the area of a compound shape<br><br> Can you please explain
gtnhenbr [62]

Answer:

A=292.53~m^2

Step-by-step explanation:

<u>Area of a Compound Shape</u>

The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.

The area of a circle of radius r is:

A_c = \pi r^2

The area of a triangle of base b and height h is:

\displaystyle A_t=\frac{b.h}{2}

Calculate the area of the circle:

A_c = \pi 8^2

A_c = 64\pi

Area of half the circle:

A_c/2 = 32\pi~m^2

Area of the triangle:

\displaystyle A_t=\frac{24\cdot 16}{2}

A_t=192~m^2

The area of the shaded shape is:

A=32\pi~m^2+192~m^2

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4 0
3 years ago
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andreyandreev [35.5K]

Answer:

50.24 inches

Step-by-step explanation:

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= 50.24

3 0
3 years ago
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kodGreya [7K]

Answer:

\frac{53}{12} or 4 \frac{5}{12}

Step-by-step explanation:

\frac{6}{1}  \times  \frac{1}{2}  = 3

\frac{3}{1}  +  \frac{2}{3}  +  \frac{3}{4}  = ...

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Now add them

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Simplified version is

4 \frac{5}{12}

3 0
3 years ago
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goblinko [34]

Answer:

30

Step-by-step explanation:

This

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4 0
3 years ago
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