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3 years ago

If the price of rail season tickets increases by 4% every year, work out the price after 3

Mathematics

1 answer:

Zarrin [17]3 years ago

4 0

Answer:

3048 x 1.04 ^3 = 3428.585474

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Alicia bought a frozen lemonade for $3.71. She gave the clerk a $5 bill. How much change should she receive?

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5 - 3.71 = $1.29
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If AB = 12 and CB = 10, then the height of the triangle is:

Ierofanga [76]

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Elena L [17]

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3 years ago

Find (a) arc length and (b) Area of a sector.

barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

<u>Formula</u>

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

<u>Calculation</u>

Given:

$\theta=\dfrac{5 \pi}{8}$
r = 15 cm

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}$

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2 years ago

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qwelly [4]

Answer:

$120cm^3$

Step-by-step explanation:

120cm^3

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