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pochemuha
3 years ago
13

Find the radius of a circle in which a central angle of StartFraction pi Over 7 EndFraction radian determines a sector of area 7

7 square meters. Round to the nearest hundredth.
Mathematics
1 answer:
QveST [7]3 years ago
5 0

Answer:

Step-by-step explanation:

The formula for determining the the area of a sector is expressed as

Area of Sector = θ/360 × πr²

Where

θ represents the central angle.

π is a constant whose value is 3.14

r represents the radius of the circle.

From the information given,

The central angle is π/7 radian. Converting to degrees, it becomes

π/7 × 180/π = 180/7 = 25.714 degrees.

Area of sector = 77 square meters

Therefore

77 = 25.714/360 × 3.14 × r²

77 = 0.2243r²

r² = 77/0.2243 = 343.29

r = √343.29 = 18.53 meters

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cestrela7 [59]
The only correct answer is C.) 9

✓16 = 4
5+4= 9
x = 9
8 0
3 years ago
What is 5% added to $194?
leva [86]

Answer:

203.7

Step-by-step explanation:

5% of 194 added to 194 =

= 5% * 194 + 194

= 0.05 * 194 + 194

= 9.7 + 194

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6 0
3 years ago
You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site
tino4ka555 [31]

Answer:

Equation: 810= (90 + 24y)

y = 30 hours

Step-by-step explanation:

Given:

Site visit = $45 per site

cost per hour worked = $24

for <u>each </u>work site, the total amount of money earned

= site visit fee + cost for working

But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.

Therefore for TWO sites, the total amount of money earned

= site 1 visit fee + site 2 visit fee + cost for working

= (2 x site visit fee) +  cost for working  ------ Equation 1

We are further given that we worked y hours at the hourly work rate of $24 per hour.

Hence the cost for working

= y hours x hourly rate

= y   x   $24

= $24y   (substituting this into equation 1 above)

for TWO sites, the total amount of money earned

= (2 x site visit fee) +  cost for working

= (2 x $45) +  $24y

= $90 + $24y

= $(90 + 24y)

We are also given that we have to earn $810 for two sites, hence

810 = 90 + 24y    

810 - 90 = 24y

24y = 720

y = 720/24

y = 30 hours

8 0
3 years ago
used to have a square garage with 296 ft of floor space. recently built an addition to it. The garage is still a​ square, but no
wel

Answer:

230 ft

Step-by-step explanation:

5 0
3 years ago
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Answer:

24cm^{2}

Hope This Helps! :) Please give Brainliest if it does!

3 0
2 years ago
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