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2 years ago

34. The diagram shows a sector of a circle of radius 10 cm.

Mathematics

2 answers:

Sergio [31]2 years ago

8 0

Answer:

rc length = 10 * 8pi/5

= 16pi

This is the circumference of the base

(a) 2pir = 16pi where r = radius of base

2r = 16

r = 8 cm

(b) 10^2 = h^2 + 8^2

h^2 = 100 - 64

= 36

h = 6 cm

fiasKO [112]2 years ago

5 0

Answer:

rc length = 10 * 8pi/5

Step-by-step explanation:

= 16pi

This is the circumference of the base

(a) 2pir = 16pi where r = radius of base

2r = 16

r = 8 cm

(b) 10^2 = h^2 + 8^2

h^2 = 100 - 64

= 36

h = 6 cm

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Answer:

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3 years ago

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3 years ago

The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

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$A=l*w$

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$324=4w*w\\324=4w^2$

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$\sqrt{81} =\sqrt{w^2} \\\\w=9$

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We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

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The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

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3 years ago

What is interest earned on 3500 invested at 6% compounded quarterly or 12 years

enyata [817]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3500\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &12
\end{cases}
\\\\\\
A=3500\left(1+\frac{0.06}{4}\right)^{4\cdot 12}\implies A=3500(1.015)^{48}$

so, the interest earned then will be A - 3500.

6 0

3 years ago