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3 years ago

Use a scale of 2km to 1cm to find the length of a road

Mathematics

1 answer:

noname [10]3 years ago

8 0

<h2>First Question:</h2><h3>Given: </h3>

2 km = 1 cm

The length of the road of 15 km.

<h3>Solution:</h3>

2 km = 1 cm

1 km = 1/2 = 0.5 cm

15 km = 0.5 × 15 = 7.5

<h2>Answer: </h2>

The length of the road is <u>7.5 cm</u>.

Therefore, <u>Option D. 7.5 cm</u> is correct.

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3 years ago

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Furthermore, the area of the enclosed land is given by

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Substituting into the equation for the area,

$\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}$

To find the maximum possible area, solve A'(y)=0, as shown below

$\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}$

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1 year ago

45°<br> 9<br> X<br> Find the value of x. Write your answer in simplest form.

kap26 [50]

9514 1404 393

Answer:

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Step-by-step explanation:

We know the hypotenuse of an isosceles right triangle is √2 times the length of the side:

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9√2 = 2x . . . . multiply by √2

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3 years ago