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3 years ago

Find the area of the shaded sector. Leave your answer in terms of π.

Mathematics

2 answers:

bearhunter [10]3 years ago

8 0

Answer:

d=10m

r=10/2=5m

The Area is:

(πr^{2}) /2

(π5^2) / 2

=25π/2

=12.5π

iogann1982 [59]3 years ago

3 0

Answer:

Step-by-step explanation:

radius is 5m

Area of a sector is: pi * r^2 * angle/360

Area = 25/2 * pi

You might be interested in

How many yards are in 33.9 feet? Round to 2 decimal places if necessary.

NNADVOKAT [17]

There are 11.3 yards in 33.9 feet!

Step-by-step explanation:

8 0

3 years ago

Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y<35x−1.5 y>35x−1.5

Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

$\boxed{ \mathsf{ \red{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1}) }}}$

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is (0, -1.5) which lies on the y axis(the point where the dotted line touches the y axis)

other point is (2.5, 0) and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

$\mathsf{\implies y - ( - 1.5) = \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}$

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

$\mathsf{\implies (y + 1.5) = \frac{0 + 1.5}{2.5 } (x )}$

$\mathsf{\implies y + 1.5 = \frac{ 1.5}{2.5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ 3}{5 } x }$

multiplying both sides by 5

$\mathsf{5y + 7.5 = 3x}$

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

replacing x and y with 0

$\mathsf{\implies5(0) + 7.5 = 3(0)}$

$\mathsf{\implies0 + 7.5 = 0}$

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

$\mathsf{\implies7.5 > 0}$

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

$\mathsf{5y + 7.5 > 3x}$

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

that is the last option

5 0

3 years ago

Miles sells 3 raffle tickets for $18 and 4 tickets for $24. The pattern for the price of the tickets is the same. How much money

serg [7]

Answer:

If Miles sells 6 tickets the money he will collect be $36.

Step-by-step explanation:

Given:

Miles sells 3 raffle tickets for $18 and 4 tickets for $24.

The pattern for the price of the tickets is the same.

Now, to find the money miles will collect if he sells 6 tickets.

Let the money Miles will collect be $x.$

The ticket if sells will be 6.

As, Miles sells 3 tickets for $18.

And the pattern for the price is same.

So, 3 is equivalent to 18.

And, 6 is equivalent to $x.$

Now, to get the money by using cross multiplication method:

$\frac{3}{18} =\frac{6}{x}$

By cross multiplying we get"

$3x=108$

Dividing both sides by 3 we get:

$x=36.$

The money MIles will collect = $36.

Therefore, if Miles sells 6 tickets the money he will collect is $36.

5 0

3 years ago

What is the square root of 5000

valentinak56 [21]

the square root of 5000 is 71 (rounded to the nearest)

3 0

3 years ago

Read 2 more answers

What is x^2=7x number 9

ipn [44]

Let's do this in steps, show your work!

#1. We need to move all terms to one side.

x^2 - 7x = 0

#2. Then factor out the common term x.

x(x - 7) = 0.

#3. Simplify to get..

x = 0, 7.

If you need help with any other question let me know.

8 0

3 years ago