a square tablecloth is 160cm along each side. it hangs over the table edge 30cm on each side.
a) what is the area of the tablecloth?
b) what is the area of the table?

Answer:

96π cu ft.

Step-by-step explanation:

V = Bh      B = area of the base     h = height

The base is a circle, so [tex]B = \pi r^{2} = \pi 4^{2} = 16\pi[/tex]

V = 16π(6) = 96π cu ft.

The volume of the cylinder is 301. 6 cu. ft.

[tex]V=\pi \times r^2\times h[/tex]

where r is the radius of the cylinder and h is the height of the cylinder

For given question,

The radius of a cylindrical water tank is 4 ft, and its height is 6 ft,

[tex]\Rightarrow r=4~ft,~h=6~ft[/tex]

We need to find the volume of the cylinder.

Using the formula of the volume of the cylinder,

[tex]\Rightarrow V=\pi \times r^2\times h\\\\\Rightarrow V=\pi \times 4^2\times 6\\\\\Rightarrow V=\pi \times 16 \times 6\\\\\Rightarrow V =301.6~~cu.ft.[/tex]

Therefore, the volume of the cylinder is 301. 6 cu. ft.

Learn more about the volume of the cylinder here:

https://brainly.com/question/16134180

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Answer:

The slope = 8/3

Step-by-step explanation:

Let's find the slope between your two points.

(−3,−4);(0,4)

(x1,y1) = (−3,−4)

(x2,y2) = (0,4)

Use the slope formula:

m= y2−y1 / x2−x1

= 4 − −4 / 0 − −3

= 8/3

Answer:

m = 8/3

Graph:

hope this helps and is right :)

Answer:

2

Step-by-step explanation:

the distance around a circle

Answer:

(-2,5)

Step-by-step explanation:

because 2 units to left of the y axis makes it a negative and it makes it on the z axis so you get negative 2 then 5 units above the x axis gets just 5 so that's how you get (-2,5)

y = ax^2

If the absolute value of a is <1 the graph is wider than when a = 1

If the absolute value of a is >1 the graph is narrow than when a = 1

The only function that fits that description is  

y = 2x^2

Answer:

41

Step-by-step explanation:

47-6=41

Answer:

you are correct

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

20x + 1 = 720

20x = 719

x = 35.95

Your answer: 35.95

Proof:

(5(35.95))+(35.95-10)+(3(35.95)+5)+(2(35.95)-2)+(5(35.95)+6)+(4(35.95)+2) = 720

Answer:

1.6

Step-by-step explanation:

Answer:

y = - x + 3

or

x + y = 3

Step-by-step explanation:

Line is passing through the points (3, 0) & (0, 3)

y-intercept (b) = 3

Slope of the line (m) = (3 - 0)/(0 - 3) = 3/(-3) = - 1

Now, required equation of line is given as:

y = mx + b

y = - 1*x + 3

y = - x + 3

or

x + y = 3

Answer:

Each student club must contribute $ 33.33 in order to meet the fundraising goal.

Step-by-step explanation:

Given that a school fundraiser has a minimum target of $ 500. Faculty have donated $ 100 and there are 12 student clubs that are participating with different activities, to determine how much money should each club raise to meet the fundraising goal, the following calculation must be performed:

(500 - 100) / 12 = X

400/12 = X

33,333 = X

Thus, each student club must contribute $ 33.33 in order to meet the fundraising goal.

Answer:

30 seconds

Step-by-step explanation:

Speed of person :

72 feets in 9 seconds

Distance = 72 feets ; time = 9 seconds

Speed = distance / time

Speed = 72 / 9 = 8 ft/s

Length of sidewalk = 240 feets

Time it takes to move from one end to the other :

Time = distance / speed

Time = 240 feets / 8 feets /sec

Time taken = 30 seconds

Answer:

-1

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

2.16

Step-by-step explanation:

Answer:

Step-by-step explanation:

x > -7

Open circle means the solution does not include -7 and it is more than -7

Answer:

Step-by-step explanation:

[tex]x^{2} x^{2} \sqrt{x} \neq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Answer: 1. Correct, 2. Incorrect 90° angle not 80° angle answer is 50, 3. Is correct, 4. Is correct

Step-by-step explanation:

Answer:

Hope that answers your question

Volume = (base area x heigh)/3

base area = 160m x 160m

base area = 25600 m²

Volume = (25600 m² x 91 m) / 3

Volume = 776533.333 m³

the volume is 776533.333 m³

Answer:

Step-by-step explanation:

Answer: 19 days

Step-by-step explanation:

Answer:

115 + 10x = 305

x = 19

It will take her 19 days to finish.

I am working on this subject too. I'm gonna get a calculator and help you. The answer is actually 14

Answer:

y = 2x+2

Step-by-step explanation:

y = mx+b

    m = slope = 2

    b = y-intercept = 2

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The base angles of an isosceles triangle are congruent, so ...

  11x +6 = -6x +125

  17x = 119 . . . . . . . . . add 6x-6 to both sides

  x = 7 . . . . . . . . divide by 17

For the first box, you would multiply.

For the second box, you would multiply both sides by 3/2.

For the third box, the answer is 18.

[tex]\frac{2}{3}x=12[/tex]

[tex](\frac{3}{2} )*\frac{2}{3}x=12*(\frac{3}{2})[/tex]

[tex]x = 18[/tex]

If you have any further questions, please reach out to me :)

Answer:

multiply both sides by 3/2. The correct answer is 18

Step-by-step explanation: