A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so its peak touches the edge of the cylinder’s base. What is the volume of the space remaining in the cylinder after the cone is placed inside it?

Answers

Answer 1

Answer: The volume of the cylinder is:
Vcy = π r2 h

And using the given conditions that the cone has half the radius of and same height with the cylinder, we have:
Vco = (1/3) π (r/2)2 h
Vco = π r2 h / 12

The volume of the space remaining is the difference between the two volumes. So,
Vs = Vcy - Vco
Vs = π r2 h - π r2 h / 12
Vs = 11 π r2 h / 12

The volume of the space is 11 π r2 h / 12

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Sketch a graph of the following inequality and the choose the correct description of the graph: x + y - 5 ≥ 0 Slope is -1, y-intercept is -3, dashed line, shaded below
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Answers

Answer:

Slope -1, y intercept +5.

Bold line, shaded above

Step-by-step explanation:

x + y - 5 ≥ 0

y ≥ -x + 5

2x-4y=2 -2x+3y=0 elimination

Answers

$2x-4y=2 \n\underline{-2x+3y=0} \n-4y+3y=2+0 \n-y=2 \ny=-2 \n \n2x-4y=2 \n2x-4 * (-2)=2 \n2x+8=2 \n2x=2-8 \n2x=-6 \nx=(-6)/(2) \nx=-3 \n \n(x,y)=(-3,-2)$

2x-4y=2

-2x+3y=0

-------------------- (+)

3y-4y=2

-y=2 /*(-1)

y=-2

2x-4y=2

2x-4*(-2)=2

2x+8=2 /-8

2x=-6

x=-3

What number must you add to the polynomial below to complete the square?x^2-x
A. 1/4
B. 1/2
C. 2
D. 1

Answers

(-1/2)^2 = 1/4

So you have to add 1/4 to complete the square.

Answer is A.

Find the missing values in each column.Column A
Column 8
Column C
+3+=12
63 +7=
-63+(-7) = 9
-63-7=
Column D
21 + 7 = 3
-21-7) = 3
-21-7=3
21+(-7) = 3
- 24+4=-6
43 - (-4)= -12
Describe the pattern you see in each column's answers in Problem 1. relating it to the problems divisors and
dividends. Why is this so?
Describe the pattern you see between the answers for Columns A and B in Problem I les compare the first answer
in Column A to the first answer in Column B compare the second answer in Column A to the second answer in
Column B) Why is this so?
Describe the pattern you see between the answers for Columns C and Din Problem 1. Why is this so?

Answers

Answer:

because less

Step-by-step explanation:

f sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

Answers

Sin(x) = opposite over hypotenuse
Cos(x) = adjacent over hypotenuse
Tan(x) = opposite over adjacent

Everything revolves around a right triangle.
From the given equation, "sine of x equals square root of 2 over 2"

Opposite = square root of 2
Hypotenuse = 2
Adjacent = ?

Using the Pythagorean Equation: H^2 = O^2 + A^2
2^2 = (square root of 2)^2 + A^2
A^2 = 4 - 2
A = square root of 2

Cos(x) = square root of 2 over 2
Tan(x) = square root of 2 over square root of 2 = 1

Question 1 (1 point)A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a
cheetah running at a constant speed. In the next question, explain or show your reasoning.
time (seconds) distance (meters) speed (meters per second)
4
120
25
270

Answers

Answer:

ok this was a good one so here

Step-by-step explanation:

time (seconds)

distance (meters)

speed (meters per second)

4 120 30

25 750 30

9 270 30

Honey you’re smart you can figure this out you’re gonna do great things make,

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