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3 years ago

3) You have a giant, giant hot tub. The hot tub just so happens to be a perfect cylinder. You cannot fill it

Mathematics

2 answers:

sweet [91]3 years ago

6 0

Answer:

Step-by-step explanation:

Nikitich [7]3 years ago

4 0

Answer:

Probably 8!

Step-by-step explanation:

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Please give me the answers to all three I will mark u brilliant

elixir [45]

Answer:

First know the formula for the area of a circle;

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.

For the first problem, we can see that 12 is our diameter.

And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;

D/2 = R

Replace with actual values;

12/2 = 6, 6 is our radius.

Now we plug this into our formula:

A = π $r^{2}$

A = 3.14(6^2)

A = 3.14(36)

A = 113.04 centimetres is the area of the circle.

For the second problem, we can see that 18 is our diameter.

And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.

So;

D/2 = R

18/2 = 9, 9 is our radius.

Now we plug this into our formula:

A = π $r^{2}$

A = 3.14(9^2)

A = 3.14(81)

A = 254.34 inches is the area for this circle.

For the third problem, we can see that our radius is already given, 5.

So now we just simply and easily plug this into our formula;

A = π $r^{2}$

A = 3.14(5^2)

A = 3.14(25)

A = 78.5 meters is the area for this circle.

4 0

2 years ago

What is the coefficient of the x9y-term in the binomial expansion of (2y 4x3)4?

Sonbull [250]

The binomial expansion: $T_{k+1}= \frac{n!}{(n-k+1 )!}a^{n-k} b^{k}$
a = 2y, b = 4 x^3, n = 4
( x )^3k = x^ 9
k = 3
$T_{4}= \frac{24}{6}(2y) ^{3-1} (4x^{3} )^{3}$
$T4=512 x^{9} y$
Answer: the coefficient is 512.

4 0

3 years ago

Read 2 more answers

PLEASE PLEASE HELP ME

Setler79 [48]

$62.9 - 22.11$

7 0

3 years ago

Read 2 more answers

What is the image of (8,-6) after a reflection over the line y = x?

wlad13 [49]

Answer:

Step-by-step explanation:

Interchange x and y: (-6, 8) is the image of (8, -6) after a reflection over y = x.

6 0

3 years ago

Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...

Strike441 [17]

Answer:

The 13th term is 81x + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

$\displaystle -3x -1, \, 4x +4, \, 11x + 9 \dots$

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference d. In other words:

$\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}$

Find the common difference by subtracting the first term from the second:

$d = (4x+4) - (-3x - 1)$

Distribute:

$d = (4x + 4) + (3x + 1)$

Combine like terms. Hence:

$d = 7x + 5$

The common difference is (7x + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

$\displaystyle x_n = a + d(n-1)$

Where a is the initial term and d is the common difference.

The initial term is (-3x - 1) and the common difference is (7x + 5). Hence:

$\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)$

To find the 13th term, let n = 13. Hence:

$\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)$

Simplify:

$\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}$

The 13th term is 81x + 59.

3 0

3 years ago