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3 years ago

The diameter of a circle is 2 inches. What is the circle's circumfere

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

8 0

Answer:

6.28in or 6.3in

Step-by-step explanation:

All I did was multiply pie by diameter or multiply it by its radius, which is 1.

C = 2(3.14)(1)

= 6.28

C = (3.14)(2)

= 6.28

Bogdan [553]3 years ago

4 0

Answer:

$6.28\:\mathrm{in}$

Step-by-step explanation:

The circumference of a circle is given by $C=2r\pi$ , where $r$ is the radius of the circle. Since all radii of a circle are exactly half the length of all diameters of a circle, if the diameter is 2 inches, we know the radius is 1 inch.

Therefore, we have:

$C=2(1)\pi=2\cdot 1\cdot 3.14=\boxed{6.28\:\mathrm{in}}$

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3 years ago

Altred is saving up money for a down payment on a house. He currently has $4739, but knows he can get a loan at a lower interest

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Given the word problem, we can deduce the following information:

Principal amount = $4739

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To determine the time to accumulate the $5336, we use the compound interest formula:

$A=P(1+\frac{r}{n})^{nt}$

A=Future amount=$5336

P=Present amount=$4739

r=interest rate = 0.051

n=number of compounding periods =12

t=time in years

We also note that the number of compounding periods must be 12 since the investment is compounded monthly.

We plug in what we know:

$\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ 5336=4739(1+\frac{0.051}{12})^{12t} \\ Simplify\text{ and rearrange} \\ 5336=4739(\frac{12.051}{12})^{12t} \\ 12t=\frac{\ln\frac{5336}{4739}}{\ln\frac{12.051}{12}} \\ t=\frac{\operatorname{\ln}\frac{5,336}{4,739}}{12\operatorname{\ln}\frac{12.051}{12}} \\ Calculate \\ t=2.33 \end{gathered}$

Therefore, the answer is 2.33 years.

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Find the value of b that makes <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2Bbx%2B%5Cfrac%7B9%7D%7B4%7D%20" id="TexFormu

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Perfect square trinomial is like

(x+4)^2=x^2+8x+16
they are represented as such
ax^2+bx+c
so to solve for b you do
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c=9/4
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(√(9/4)) times 2=(3/2) times 2=6/2=3
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x^2+3x+(9/4)
if factored, it gives
(x+(3/2))(x+(3/2)) or
(x-(3/2))(x-(3/2))

if this equation is equal to 0 then x=-3/2 or 3/2

the value is 3

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3 years ago