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Lisa [10]
3 years ago
7

NEED HELP ASAP

Mathematics
1 answer:
Marizza181 [45]3 years ago
4 0
So basically we need to find the volume of this cone-shaped building first.

The formula for the volume of a cone:
V =   \pi r^{2}\frac{h}{3}

Where r is the radius and h is the height.

1.) Plug in 11.4 for h because 11.4 is the height:
V =  \pi  r^{2}  \frac{11.4}{3}

2.) The diameter is 12, and the radius is just half of that. So the radius is 6. Plug in 6 for r because 6 is the radius:
V =  \pi  6^{2}  \frac{11.4}{3}

3.) Plug in 3.14 for π because the directions told you to:
V = 3.14*6^{2} * \frac{11.4}{3}

4.) Simplify:
V = 3.14 * 36 * 3.8

5.) Simplify further:
V = 429.552

So the volume of the building is 429.552 meters cubed. 
If 1 cubic meter = $20, how much money will 429.552 cubic meters cost?

Multiply 429.552 on both sides:
1 cubic meter (*429.552) = $20 (*429.552)

429.552 cubic meter = $8591.04

That means that 429.552 cubic meters will cost a total of $8591.04 :)


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What are all of the factors of 24 and 27
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The factors of a number are <em>all of the positive whole numbers that go into it evenly</em>. For example, 2 is a factor of 6 because 6 ÷ 2 = 3, or equivalently, 6 = 2 x 3. Note that this naturally implies that every whole number has 1 and itself as a factor.

The numbers that go evenly into 24 are 1, 2, 3, 4, 6, 8, 12, and 24. For 27, those numbers are 1, 3, 9, and 27.

The <em>common factors </em>between two numbers are numbers that go into <em>both </em>numbers evenly. Looking through the lists for 24 and 27, we see that 1 and 3 are their common factors. The <em>greatest</em> common factor is, of course, the largest of these, so the greatest common factor of 24 and 27 is 3.

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Explain how to evaluate f(g(0)).
alekssr [168]

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

==================================================

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

8 0
3 years ago
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