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abruzzese [7]
3 years ago
9

The area of a sector of a circle is given by the equation uppercase A = StartFraction pi r squared uppercase S Over 360 EndFract

ion, where r is the radius of the circle and S is the angle measure of the sector.
Mathematics
1 answer:
Ganezh [65]3 years ago
8 0

Answer:360A/pi ^2

Step-by-step explanation:

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During with interval was the bicyclists speed the greatest?
Fudgin [204]

check the picture below.

namely, which of those intervals has the steepest slope, recall slope = average rate of change.

now, from the picture, notice, those two there are the steepest, the other three are leaning too much to the "ground".

so, from those two, which is the steepest anyway?  let's check their slope.


\bf \stackrel{\textit{from the 6th to the 8th hour}}{(\stackrel{x_1}{6}~,~\stackrel{y_1}{104})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{146})} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{146-104}{8-2}\implies \cfrac{42}{2}\implies 21~~\bigotimes \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \stackrel{\textit{from the 1st to the 2nd hour}}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{34})} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{34-12}{2-1}\implies \cfrac{22}{1}\implies 22~~\checkmark

4 0
4 years ago
Below are the heights (in inches) of students in a third-grade class. Find the median height. 39, 37, 48, 49, 40, 42, 48, 53, 47
Nutka1998 [239]

Given:

The heights (in inches) of students in a third-grade class are:

39, 37, 48, 49, 40, 42, 48, 53, 47, 42, 49, 51, 52, 45, 47, 48

To find:

The median height.

Solution:

The given data set is:

39, 37, 48, 49, 40, 42, 48, 53, 47, 42, 49, 51, 52, 45, 47, 48

Arrange the data set in ascending order.

37, 39, 40, 42, 42, 45, 47, 47, 48, 48, 48, 49, 49, 51, 52, 53

Here, the number of observations is 16. So, the median of the given data set is:

Median=\dfrac{\dfrac{n}{2}\text{th term}+\left(\dfrac{n}{2}+1\right)\text{th term}}{2}

Median=\dfrac{\dfrac{16}{2}\text{th term}+\left(\dfrac{16}{2}+1\right)\text{th term}}{2}

Median=\dfrac{8\text{th term}+9\text{th term}}{2}

Median=\dfrac{47+48}{2}

Median=\dfrac{95}{2}

Median=47.5

Therefore, the median height of the students is 47.5 inches.

5 0
3 years ago
Pls help question is in the images
hodyreva [135]
The symbol \displaystyle{ T_{\ \textless \ -4, 2\ \textgreater \ }(\triangle ABC) means that:

we translate ( shift ) the triangle ABC -4 units horizontally and 2 units vertically.

This means that the triangle needs to be shifted 4 units left, and 2 units up.


The only figure which displays such a movement of the triangle (left, up) is the one in the attachment below. That is the answer.

8 0
3 years ago
Please help! I will mark brainliest.
valentina_108 [34]

Answer: A = $1503.6

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1000

r = 6% = 6/100 = 0.06

n = 1 because it was compounded once in a year.

t = 7 years

Therefore,.

A = 1000(1 + 0.06/1)^1 × 7

A = 1000(1.06)^7

A = $1503.6

4 0
4 years ago
Scores on a national math test are Normally distributed, with a mean score of 490 and a standard deviation of 50. Which test sco
alisha [4.7K]

Answer:

532

Step-by-step explanation:

The score that represents the top 20% = A score = 80%

Z score for 80% percentile = 0.842

We solve using the z score formula

z = (x-μ)/σ, where

x is the raw score = ??

μ is the population mean = 490

and σ is the population standard deviation = 50

Hence:

0.842 = x - 490/50

Cross Multiply

0.842 × 50 = x - 490

x = 0.842 × 50 + 490

x = 42.1 + 490

x = 532.1

Approximately = 532

Therefore, the test score = 532

7 0
3 years ago
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