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Zinaida [17]
3 years ago
11

A pot of piping hot stew has been removed from the stove and left to cool.

Mathematics
1 answer:
Effectus [21]3 years ago
8 0

Answer: 17.47 minutes

Step-by-step explanation:

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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}

5 0
2 years ago
it costs $36.75 for 3 tickets to visit the science center. it costs $51 for 4 tickets to visit the zoo. which attraction will co
lord [1]

Find the cost for one ticket for the science center.

36.75 ÷ 3 = 12.25

Multiply the product with 12 to get the cost of 12 tickets.

12.25 × 12 = 147

Find the cost of 1 zoo ticket.

51 ÷ 4 = 12.75

Find the cost of 12 tickets by multiplying the product and 12

12.75 × 12 = $153

12 Science Center Tickets cost $147

12 zoo tickets cost $153


The <u><em>Zoo</em></u> costs more than the Science Center.


To find out how much more the Zoo costed, subtract 147 from 153.

153 - 147 = 6

The zoo only costs <u><em>$6 </em></u>more for 12 students.

So, you're answers are Zoo and $6

5 0
3 years ago
Read 2 more answers
Find a recurrence relation for the number of sequences of 1s, 3s, and 5s whose terms sum to n. (b) Repeat part (a) with the adde
Vladimir [108]

Answer:

The solution has been given in the following attachment .

Step-by-step explanation:

3 0
3 years ago
Pleaseeee help im confused best answer will get brainliest.
zepelin [54]

Answer:

17y-9x

Step-by-step explanation:

12y-6x+5y-3x

12y+5y-6x-3x

17y-9x

8 0
2 years ago
Which student types the most words per minute?
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Lucy is the fastest
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