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Vikki [24]
2 years ago
11

3. Jalen is a lifeguard at a public swimming pool and is planning to string

Mathematics
1 answer:
m_a_m_a [10]2 years ago
7 0

Answer:

Flag = 55.90m

Step-by-step explanation:

Given

Length = 50m

Width = 25m

Required

Determine the length of the flag

Because the flag crosses through opposite diagonals of the pool. Its length is the length of the diagonal of the pool.

This is calculated using Pythagoras theorem.

Flag^2 = Length^2 + Width^2

Substitute values for Length and Width

Flag^2 = 50^2 + 25^2

Flag^2 = 2500 + 625

Flag^2 = 3125

Take positive square root of both sides

Flag = \sqrt{3125

Flag = 55.90m

<em>Hence, the length of the flag is approximately 55.90m</em>

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8 0
3 years ago
Riley has a farm on a rectangular piece of land that is 200200200 meters wide. This area is divided into two parts: A square are
777dan777 [17]

Answer:

The inequality that models the situation for her to have money to save is

7L² > 3(200L - L²)

On simplifying and solving,

L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

= L(200 - L)

Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.

Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)

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(Amount she earns) > (Amount she spends)

7L² > 3(200L - L²)

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7L² > 3L(200 - L)

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7L > 3(200 - L)

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10L > 600

L > 60 meters

Hope this Helps!!!

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