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2 years ago

15 points !!!! Diameter Radius Area Circumference of 84mm

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

6 0

Answer:

$lets \: \: \: find \: \: the \: \: radius \\ = 2\pi \: r \\ = 2\pi \: r = 84 \\ = \frac{2\pi \: r}{2\pi } = \frac{84}{2\pi} \\ = r = 13.37mm$

$lets \: \: \: find \: \: the \: \: \: area \\ = \pi {r}^{2} \\ = \pi \times {13.37}^{2} \\ = 561.55 {mm}^{2}$

$lets \: \: \: find \: \: \: the \: \: diameter \\ = d = 2r \\ = d = 2 \times 13.37 \\ = d = 26.74mm$

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Find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.)

laila [671]

$\bf \textit{area of a circle}\\\\
A=\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
A=452.16
\end{cases}\implies 452.16=\pi r^2\implies \cfrac{452.16}{\pi }=r^2
\\\\\\
\boxed{\sqrt{\cfrac{452.16}{\pi }}=r}\\\\
-------------------------------\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\qquad \qquad \implies C=2\pi \left( \boxed{\sqrt{\cfrac{452.16}{\pi }}} \right)$

so, is just that product, recall to use "<span>3.1416 as the value of π".</span>

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2 years ago

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Name a pair of perpendicular lines: <br>is line BC and AJ perpendicular: explain

wel

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2 years ago

Ms. Lane borrowed $1,000 from her bank for one year at an interest rate of 10 percent. During that year, the price level went up

Lunna [17]

Answer:

Consider the complete question is,

'Ms. Lane borrowed $1,000 from her bank for one year at an interest rate of 10 percent. During that year, the price level went up by 15 percent. Which of the following statements is correct?

a. Ms. Lane will repay the bank fewer dollars than she initially borrowed.

b. Ms. Lane's repayment will give the bank less purchasing power than it originally loaned her.

c. Ms. Lane's repayment will give the bank greater purchasing power than it originally loaned her.

d. Ms. Lane's repayment will give the bank the same purchasing power that it originally loaned her.'

Solution :

We have,

The borrowed amount, P = $ 1,000,

Interest rate, r = 10% = 0.1,

Time, t = 1 year,

Thus, the returned amount,

$A=P(1+r)^t=1000(1+0.1)^1=1000(1.1) = \$ 1100$

∵ A > P

⇒ Ms. Lane will repay the bank greater dollars than she initially borrowed.

Now, the price level went up by 15 percent,

∵ 1000 + 15% of 1000 = 1000 + 150 = 1500

And, 1500 > 1100

⇒ Ms. Lane's repayment will give the bank less purchasing power than it originally loaned her.

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2 years ago