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vesna_86 [32]
3 years ago
8

In a circle whose radius is 12, find the area of sector, in terms of , whose central angle

Mathematics
1 answer:
Anna11 [10]3 years ago
4 0

Answer:

56.52 units² or 18π units²

Step-by-step explanation:

The formula for the area of a sector is:

A = πr²(x/360°)

where r is the radius and x is the measure of the central angle

Let's substitute the given measures into this equation:

A = πr²(x/360°)

A = (3.14)(12²)(45/360)

Solve:

A = (3.14)(12²)(45/360)

A = (3.14)(144)(45/360)

A = (452.16)(45/360)

A = (452.16)(.125)

A = 56.52

Therefore, the area of the sector is 56.52 units² or 18π units²

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irina1246 [14]
X is just a place holder so it really depends if you know what x is but for right now let’s say it’s 0
Ok so -6 is less than -2 so the larger the negative number is the less it is if that makes sense so the greater number is -2
So x+-2 is greater
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Combine similar terms and apply the operation. Do NOT evaluate or simplify.
Airida [17]
1. 2x+ 4+3x
= (2x+ 3x)+ 4

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3 years ago
For your birthday, you want to take a group of friends to an indoor trampoline
butalik [34]

Answer:

For Skyhigh : 40 friends

For Jump it up : 90 friends

Step-by-step explanation:

Given that :

Maximum spending = $250

SKY HIGH FEES :

Party set up fee = $50 ; Amount paid per person = $2

JUMP IT UP FEES :

Party set up fee = $70 ; Amount paid per person = $2

THEREFORE, the inequality statement to obtain the number of friends for eack trampoline center goes thus:

Party setup fee + Number of persons * fee per person ≤ maximum spending

SKY HIGH:

50 + 5x ≤ 250

5x ≤ 250 - 50

5x ≤ 200

x ≤ 200/5

x ≤ 40

Hence,

Skyhigh can accommodate 90 friends Given the conditions

JUMP IT UP:

70 + 2x ≤ 250

2x ≤ 250 - 70

2x ≤ 180

x ≤ 180/2

x ≤ 90

Jump it up can accommodate up to 90 friends Given the conditions.

4 0
3 years ago
A clock radio phone cost 83.95. Tax is $4.49 for each radio phone how much do 3 clock radio phones cost
zimovet [89]

Step-by-step explanation:

If each clock radio costs $83.95 + taxes ($4.49), each clock radio has the real cost of $88.44

Therefore if you multiply the real cost of the 3 pieces, you'll get the result:

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Answer:

$265.32

5 0
3 years ago
HELP 100 POINTS The population of a city is modeled with the function P=250,000e^0.013t​, where t is the number of years since 2
erma4kov [3.2K]
Pretty difficult problem, but that’s why I’m here.
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
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Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
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Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
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Now just to check our work plug that into original equation which we get:
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So our final solution will be in the 45th year after about 2 and a half months it will reach 450k people.
6 0
2 years ago
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