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3 years ago

A circular pool has a radius of 3.2 meters. which is closest to the area of the pool

Mathematics

1 answer:

almond37 [142]3 years ago

3 0

Answer:

32.17

Step-by-step explanation:

$A= \pi$ × $r^{2}$

A= $\pi$ × $3.2^{2}$ ≈ $32.16991$

A= $32.17$

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What is the probability that a random permutation of the letters in MATHEMATICS contains the word TEA (with those three letters

Wewaii [24]

Answer:

The probability that a random permutation of the letters in MATHEMATICS contains the word TEA is 0.04.

Step-by-step explanation:

First compute the number of permutations of the word MATHEMATICS.

There are a total of 11 letters.

And there are 2 Ms, 2 As and 2 Ts

Number of permutations of MATHEMATICS = $\frac{11!}{2!\times2!\times2!} = 4989600$

Now, if the letters TEA occur together in the same order then the word may be of the form: (TEA)MHMATICS.

There are a total of 9 letters.

The letters TEA is treated as only one letter.

In this case there are 2 Ms.

Number of permutations of (TEA)MHMATICS = $\frac{9!}{2!} = 181440$

The probability that the letters TEA occur together is:

$\frac{Number\ of\ permutations\ of\ MATHEMATICS}{Number\ of\ permutations\ of\ (TEA)MHMATICS} = \frac{181440}{4989600} \\=0.0363636\\\approx0.04$

Thus, the probability that a random permutation of the letters in MATHEMATICS contains the word TEA is 0.04.

5 0

3 years ago

Helpppp how do I do this?

zhannawk [14.2K]

The angles shown are

<QPR
<SPR

PR is the bisector of angle P

<P=<QPR+<SPR or =<QPS

5 0

1 year ago

I will give you extra point and mark you braniest if you give me an explanation on how to find the answer.

EastWind [94]

Answer:

Step-by-step explanation:

The surface area of a cylinder is 2pi *rh + 2pir^2, where r and h are radius and height, respectively. (If you want me to explain this, comment down below). Anyways, we can simply plug in 11 and 8 in the formula, so 2* 8*11*pi + 2* pi * 8^2=304pi. Thus, we do 304 * 3.14=954.56.

4 0

3 years ago

Read 2 more answers

L 4.1.3 Quiz: Trigonometric Ratios According to this diagram, what is sin 28°? 62° 17 8 28° 15 O O A. 17 O B. 17 8 17 O c. 15 OD

MaRussiya [10]

8000*6 =15 multiple all that

6 0

2 years ago

The variable z is directly proportional to x, and inversely proportional to y. When x is 20 and y is 6, z has the value 66.66666

sergejj [24]

Answer:

41.667 to the nearest thousandth.

Step-by-step explanation:

z = kx/y where k is the constant of proportionality.

Inserting the given values:

66.666666666667 = k*20/6

20k = 6*66.666666666667

k = 6*66.666666666667 / 20

= 20

So the equation of variation is z = 20x /y

When x = 25 and y = 12:

z = 20*25/12

= 41.666666666667.

6 0

3 years ago