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3 years ago

Question 2(Multiple Choice Worth 1 points)

Mathematics

1 answer:

abruzzese [7]3 years ago

8 0

Answer:

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

Plzzz help I need help so bad

irinina [24]

The answer is A because both numbers can be divided by 6 to get 5 : 9

5 0

3 years ago

Read 2 more answers

Cameron is trying to ear eleven dollars for some new toys. If he charges three dollars to mow a lawn how many lawns will he need

7nadin3 [17]

Answer:

Cameron need to mow 4 lawns.

Step-by-step explanation:

Cameron needs 11$ for some new toys.

But he charges 3$ to mow a lawn.

So, he needs to mow 11/3= 3.66... lawns

The number of lawns can not be decimal. So, let's round to next whole number as 4.

3 0

3 years ago

A National Retail Foundation survey found households intend to spend an average of $469 during the December holiday season. Assu

vivado [14]

Answer:

The margin of error for a 99% confidence interval. is of $2.25.

Step-by-step explanation:

We have the sample's variance, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 600 - 1 = 599

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 600 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.84.