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3 years ago

Find the diameter of a circle if the area is 153.86m2. Use 3.14 for pi.

Mathematics

1 answer:

brilliants [131]3 years ago

7 0

Answer:

-Hello Fatema!

The formula to find out the area of a circle is πd so let's plug the known values and then solve for d [ diameter ] :

$\boxed{ \large{ \tt{✺ \: AREA \: OF \: A \: CIRCLE = \pi \: d }}}$

$\large{ \tt{⟶ \: 153.86 = 3.14 \: d}}$

$\large{ \tt{⟶ \: d = \frac{153.86}{3.14} }}$

$\large{ \tt{⟶d = 49 \: m}}$

$\large{ \boxed{ \boxed{ \tt{⤿ \: OUR \: FINAL \: ANSWER : \: 49 \: m}}}}$

Yayy! We're done! Let me know if you have any questions regarding my answer and also , notify me if you need any other help! :)

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.047.0 and

alisha [4.7K]

Answer:

0.025 = 2.5% probability that a given class period runs between 51.5 and 51.75 minutes.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is between c and d is given by the following formula

$P(c \leq X \leq d) = \frac{d - c}{b-a}$

For this problem, we have that:

$a = 47, b = 57, c = 51.5, d = 51.75$ . So

$P(c \leq X \leq d) = \frac{d - c}{b-a}$

$P(51.5 \leq X \leq 51.75) = \frac{51.75 - 51.5}{57 - 47} = 0.025$

0.025 = 2.5% probability that a given class period runs between 51.5 and 51.75 minutes.

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3 years ago

How many solutions does this system of equations have?

victus00 [196]

Infinitely many because if you take the top equation and multiply it by 2 you get the same equation. That means that any number you plug in for x is a solution

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1 year ago

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The same of Kaleigh and Dwaynes age is 30. Three times Kaleighs age minus twice Dwaynes age equals five. How old is César if he

Nitella [24]

Answer:

cesar is 11 1/4 years old

Step-by-step explanation:

k = kaleighs age

d = dwaynes age

3k - 2d = 5

d + k = 30

rewrite

-k -k

d = 30 - k

substitute

3k - 2(30 - k) = 5

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4k - 60 = 5

+ 60 +60

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/4 /4

k = 16.25

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3 years ago

A square ceramic tile has an area of 20.25 square inches. How long is one side?

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area = S^2

so 20.25 = S^2

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tatyana61 [14]

Answer:

Let x represents acres of corn to be planted.

Let y represents acres of soybeans to be planted.

A farmer has a 320 acre farm on which she plants two crops. We get;

$x+y\leq 320$

Other equations as per scenario becomes:

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