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Leni [432]
3 years ago
8

Pls help this is due in an hour!! thank you

Mathematics
1 answer:
NemiM [27]3 years ago
4 0

Well, we know that it costs $60 plus 5 per month for Alpha Fitness Club.

We also know that it costs $20 plus 10 per month for Omega Fitness Club.

In order to find out which one would cost the most, we must add the additional costs to the original join cost.

(NEVER add the join cost, just do the join cost at the beginning or else the clubs will never become the same cost.)

Club      M1  M2  M3  M4  M5  M6  M7  M8  M9

Alpha:   60   65  70   75   80   85   90  95  100

Omega:20   30  40   50   60   70   80  90  100

If you look above, you realize that there is a time when they both cost the same.

Summary sentence:

After 9 months, the cost to belong to either fitness club would be $100.

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A circular pool of radius r m has a path 2 m wide around its perimeter. If the area of the pool is four-fifths of the total area
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9514 1404 393

Answer:

  pool radius is 8+4√5 ≈ 16.94 meters

Step-by-step explanation:

Let r represent the radius of the pool. Then r+2 is the radius to the outside of the walkway. The ratio of areas is given as 4/5, so we have ...

  πr²/(π(r+2)²) = 4/5

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  r² -16r +64 = 80 . . . . . add 80 to complete the square

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The radius of the pool is 8+4√5 ≈ 16.94 meters.

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The area of a circle of radius r is given by the formula ...

  A = πr²

4 0
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Dont just say a random percentage to get brainliest i actually need help​
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What's the approximate area of a segment of a circle with a height 6 m and the length of the chord is 20 m? Round your answer to
yuradex [85]
Hello!

The Correct Answer to this would be 100%:

Option "85.4".

(Work Below)

Given:
height = 6m
chord = 20 m

We need to find the radius of the circle.

20 m = 2 √ [ 6m( 2 x radius - 6 m ) ] 
20 m / 2 = 2 √[ 6m( 2 x radius - 6 m ) ] / 2 
10 m = √ [ 6m( 2 x radius - 6 m ) ] 
(10 m)² = √[ 6m( 2 x radius - 6 m ) ] ² 
100 m² = 6 m( 2 x radius - 6 m ) 
100 m² = 12 m x radius - 36 sq m 
100 m² + 36 m² = 12 m x radius - 36 m² + 36 m² 
136 m² = 12 m x radius 
136 m² / 12 m = 12 m x radius / 12 m 
<span>11.333 m = radius 
</span>
the area beneath an arc: 

Area = r² x arc cosine [ ( r - h ) / r ] - ( r - h ) x √( 2 x r x h - h²<span> ). 
</span>
r² = (11.333 m)² = 128.444 m² 
r - h= 11.333 m - 6 m = 5.333 m 
r * h = 11.333 m x 6 m = 68 m²

Area = 128.444 m² x arc cosine [ 5.333 m / 11.333 m ] - 5.333 m x √[ 2 x 68 m² - 36 m² ] 

Area = 128.444 m² x arc cosine [ 0.4706 ] - 5.333 m x √ [ 100m² ] 

Area = 128.444 m² x 1.0808 radians - 5.333 m x 10 m 

Area = 138.828 m² - 53.333 m² 

Area = 85.4 m<span>²
</span>

Hope this Helps! Have A Wonderful Day! :)


And as Always...

7 0
3 years ago
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