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2 years ago

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The number 3.14 is a rounded value of the mathematical quantity π. If you replace 3.14 with π, what is the exact formula for the

circumference in terms of the diameter, d, and in terms of the radius, r?

2 answers:

KonstantinChe [14]2 years ago

6 0

Answer:

Circumference of a circle is given by:

$C = 2\pi r$

where

C represents the circumference of a circle.

r represents the radius of a circle.

As per the statement:

Use $\pi = 3.14$ and diameter(d) = 2r units

Circumference in terms of diameter (d) is:

$C = 2 \pi r = \pi (2r) = \pi d$

Substitute the value of $\pi = 3.14$ we have;

$C = 3.14d$ units

Now:

find the circumference in terms of radius r.

$C = 2 \pi r$

$C = 2 \cdot 3.14 \cdot r = 6.28r$ units

Therefore, the exact formula for the circumference in terms of the diameter, d is, C = 3.14d and in terms of r is C= 6.28r.

lorasvet [3.4K]2 years ago

5 0

Exact formula of circumference in diameter in 3.14*d=3.14d
and in terms of radius= 3.14*2r=6.28r

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Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest compounded semiannually he made

il63 [147K]

Answer:

The amount in the account is $3062.4 (Approx) and compound interest is $162.4 .

Step-by-step explanation:

Formula for compounded semiannually

$Amount = P(1 + \frac{r}{2} )^{2t}$

Where P is the principle , r is the rate in decimal form and t is the time.

As given

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest .

Here

Principle = $2,900

5.5% is written in the decimal form.

$= \frac{5.5}{100}$

= 0.055

Time = 1 year

Put in the formula

$Amount = 2900\times (1 + \frac{0.055}{2} )^{2\times 1}$

$Amount = 2900\times (1 + 0.0275 )^{2\times 1}$

$Amount = 2900\times (1.0275)^{2}$

$Amount = 2900\times 1.056\ (Approx)$

Amount = $ 3062.4 (Approx)

Thus the amount after 1 years is $3062.4 (Approx) .

Now find out the compound interest .

Amount = Principle + Compound interest

Here

Amount = $ 3062.4

Principle = $2,900

Put in the above

$3062.4 = $2,900 + Compound interest

Compound interest = $3062.4 - $2,900

Compound interest = $162.4

8 0

2 years ago

rusak2 [61]

ANSWER TO QUESTION 1

The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.

These natural numbers are;

{ $1,2,4,5,10,20$ }

Therefore the correct answer is D

ANSWER TO QUESTION 2

Given that the universal set U has elements

{ $1,2,3,4,5,6,7,8,9,10$ }

and the set P also has elements

{ $2,4,6,8,10$ }

The elements of P' are the elements that are in the universal set but are not in set P.

These elements are;

{ $1,3,5,7,9$ }

The correct answer is C

ANSWER TO QUESTION 3

The distance is given by the absolute value equation

$d=|130-25t|$

If the is 15 feet away then $d=15$

This implies that;

$15=|130-25t|$

We now split the absolute value sign to obtain,

$15=130-25t$

or

$-15=130-25t$

We now solve for t to obtain;

$15-130=-25t$

or

$-15-130=-25t$

$\frac{115}{25}=t$

or

$\frac{145}{25}=t$

This gives us

$4.6=t$

or

$5.8=t$

The correct answer is C

ANSWER TO QUESTION 4

Given

P={ $0,1,2,3,4,56,7,8,9$ }

and

V={ $2,4,6,810,1216,18,20$ }

P $\cap$ V={2,4,6,8}

P\V are elements in P only .

This means that we have to take out the elements of the intersection of the two sets from P.

P\V ={0,1,3,5,5,7,9}

The correct answer is B

ANSWER TO QUESTION 5

The correct answer is B.

In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.

Blueberry is repeating in both sets but we have to list it once.

ANSWER TO QUESTION 6.

The correct answer is 220

We were told that 250 play basket ball

If 120 play both sports, then

250-120=130

play only basketball

Now the number of people who play only baseball

$350-250=100$

But the number of people who play baseball

$120+100=220$

see diagram

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2 years ago

Use a table of numerical values of f(x,y) for (x,y) near the origin to make a conjecture about the value of the limit of f(x,y)

grigory [225]

Seems to be that the limit to compute is

$\displaystyle\lim_{(x,y)\to(0,0)}\frac{xy}{x^2+2y^2}$

Consider an arbitrary line through the origin $y=mx$ , so that we rewrite the above as

$\displaystyle\lim_{x\to0}\frac{mx^2}{x^2+2m^2x^2}=\lim_{x\to0}\frac m{1+2m^2}=\frac m{1+2m^2}$

The value of the limit then depends on the slope $m$ of the line chosen, which means the limit is path-dependent and thus does not exist.

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2 years ago

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Suppose a population of 250 crickets double in size every 3 months how many crickets will there be after 2 years

Hitman42 [59]

if they double in size every 3 months and there are 12 months in a year, just multiply 250x4=1000 then multiply that by 2. 1000x2=2000

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2 years ago

C) look at the scale factor for parts a and b. do they represent a reduction or enlargement of the empire state building? How do

ruslelena [56]

Answer:

Enlargement

Step-by-step explanation

It is enlargement, because it went up by three. Instead of reducing.

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2 years ago

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