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3 years ago

What is the volume of the composite figure? Use 3.14 for π and round the answer to the nearest tenth of a cubic unit.

Mathematics

2 answers:

SSSSS [86.1K]3 years ago

8 0

To calculate for the total volume of the figure above, we add the separate volume of the cylinder and the cone. The volume of a cone is calculated from the product of the area of the circle times its height. The volume of the cone is calculated by 1/3 the product of the area of the base times the height.

V = Vcylinder + Vcone
V = πr²h + πr²h/3
V = π(6)²11 + π(6)²9/3
V = 1583.4 in^3 -------> closest to third option

Yuliya22 [10]3 years ago

5 0

1582.6^3 (choice c) is the best option

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Please help I have a sucky teacher and don’t know what to do

Katyanochek1 [597]

Answer:

1, 4, 3, 6, 2, 7, 5

Step-by-step explanation:

The circle operator in $f\circ g$ means that the function named on the left (f) operates on the result of the function named on the right (g). So, the notation

$(f\circ g)(x)$

means

$f(g(x))$

That is, g(x) is computed and used as input to the function f. When the function definitions are as shown, the evaluation proceeds in these steps.

$(f\circ g)(-4)\\\\=f(g(-4))\quad\text{write as function of a function}\\\\=f(-2(-4)^2)\quad\text{put -4 for x in $g(x)$}\\\\=f(-2(16))\quad\text{evaluate $(-4)^2$}\\\\=f(-32)\quad\text{evaluate $g(-4)$}\\\\=2(-32-1)\quad\text{put -32 for x in $f(x)$}\\\\=2(-33)\quad\text{first step evaluating $f(-32)$}\\\\=-66\quad\text{value of $(f\circ g)(-4)$}$

If your step choices at the bottom are numbered 1 to 7 left-to right, then the sequence is as shown in the Answer section above.

4 0

3 years ago

find the average rate of change from t=2 to t=5 for the velocity function v(t)=t^2-t+10. WILL GIVE THE BRAINLIEST ANSWER--EXPLAI

Elina [12.6K]

Answer: The average rate of change is 6.
First, plug in each value of <em>t</em> into the function, v(t) to find there coordinate pairs.

v(2) = (2)^2 - (2) + 10
v(2) = 4 + 8
v(2) = 12

v(5) = (5)^2 - (5) + 10
v(5) = 25 + 5
v(5) = 30

You can write these values as coordinate pairs, like so: (2, 12) and (5, 30).
The formula for the average rate of change is $A(x) = \frac{f(x)-(f(a)}{x-a}$ . When you plug in the values from this particular case, the average rate of change formula becomes $A(t) = \frac{30-12}{5-2}$ , or $A(t)= \frac{18}{3}$ .

Looking at the equation, you can solve for the average rate of change between t = 2 and t = 5, which equals 6.

8 0

3 years ago

What is the correct answer..

solong [7]

Answer:

64 feet

Step-by-step explanation:

To find the height of the kite we use sin trigonometric ratio.

Let the height of the kite from the ground be x feet.

$\therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet$

3 0

3 years ago

What is the recursive formula for 100, 80, 64, 51.2?

bonufazy [111]

From 100 to 80 is 8/10, so the recursive formula is

an=a(n-1)*1/8

an= a1*1/8(n-1)

an=a1*(n-1)/8

5 0

2 years ago

Buchanan corp. is refunding $10 million worth of 10% debt. the new bonds will be issued for 8%. The corporation's tax rate is 35

Alik [6]

The net cost of call premium can be calculated considering the total amount after taxes deductions times the percentage of the call premium.

Writing the percentage as a decimal number, we get:

10000000 × (1 - 0.35) × 0.09 = 585000

The <span>net cost of the call premium after taxes is 585000$.</span>

5 0

3 years ago