Use the Pythagorean Theorem and the square root property to solve the following problem. Express your answer in simplified radical form.

Then find a decimal approximation to the nearest tenth.

A rectangular park is 12 miles long and 4 miles wide. How long is a pedestrian route that runs diagonally across the park? In simplified radical form, the pedestrian route is 10 miles long.

Answers

Answer 1

Answer:

Answer:

12.6 miles.

Step-by-step explanation:

Let L represent the length of the pedestrian.

We have been given that a rectangular park is 12 miles long and 4 miles wide. We are asked to find the length of a pedestrian route that runs diagonally across the park.

We will use Pythagoras theorem to find the length of the pedestrian (Hypotenuse).

$L^2=12^2+4^2$

$L^2=144+16$

$L^2=160$

Now, we will take positive square root of both sides:

$L=√(160)$

$L=√(16*10)$

$L=4√(10)$

$L=12.6491106$

Upon rounding to nearest tenth, we will get:

$L\approx 12.6$

Therefore, the length of the pedestrian is approximately 12.6 miles.

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Answer:

A.) slope= 4 and y intercept= 3

Step-by-step explanation:

y = x4+3

Answer:

y = x4+3

Step-by-step explanation:

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H(x) = −(x − 5)2 + 3g(x) = 4 cos(2x − π) − 2
f(x)

x y
0 −5
1 0
2 3
3 4
4 3
5 0
6 −5
Which function has the largest maximum?

Answers:
f(x)
g(x)
h(x)
All three functions have the same maximum value.

Answers

Answer:

The correct option is 1. The function f(x) has the largest maximum.

Step-by-step explanation:

The vertex form of a parabola is

$y=a(x-h)^2+k$

Where, (h,k) is vertex.

The given functions is

$h(x)=-(x-5)^2+3$

Here, a=-1, h=-5 and k=3. Since the value of a is negative, therefore it is an downward parabola and vertex is the point of maxima.

Thus the maximum value of the function h(x) is 3.

$g(x)=4\cos (2x-\pi)-2$

The value of cosine function lies between -1 to 1.

$-1\leq \cos (2x-\pi)\leq 1$

Multiply 4 on each side.

$-4\leq 4\cos (2x-\pi)\leq 4$

Subtract 2 from each side.

$-4-2\leq 4\cos (2x-\pi)-2\leq 4-2$

$-6\leq 4\cos (2x-\pi)-2\leq 2$

Therefore the maximum value of the function g(x) is 2.

From the given table it is clear that the maximum value of the function f(x) is 4 at x=3.

Since the function f(x) has the largest maximum, therefore the correct option is 1.

Max(f(x)) = f(3) = 4

Max(g(x)) = g(π/2) = 2

Max(h(x)) = h(5) = 3

Of these values, f(3) = 4 is the largest.

The function with the largest maximum is f(x).

Which fraction is equivalent to 0.36

Answers

Answer: 9/25, Percentage: 36%

Final answer:

The fraction equivalent to 0.36 is 36/100, which can be further simplified to 9/25.

Explanation:

In the subject of mathematics, to convert a decimal into a fraction, one must understand the place value of the decimal. In your case, the decimal 0.36 is in the hundredths place, which means you can express this decimal as 36 over 100. Therefore, the fraction equivalent to 0.36 is 36/100. To simplify this fraction, we can divide both the numerator (36) and the denominator (100) by the greatest common divisor, which is 4. This gives us a simplified fraction of 9/25.

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Answers

By definition, the arc length is given by:

S = R * theta

Where,

R: radio

Theta: central angle

Clearing the angle we have:

Theta = S / R

Substituting values:

Theta = 6/4

Simplifying:

Theta = 3/2

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

The graph show\ing the demand (D) and supply (S = MC) curves in the market for hot dogs indicate: Competitive market.

Competitive market

In a market were their is competition, when demand and supply curves intersect this indicate market equilibrium.

Based on the graph the market equilibrium price will be $1.50 per hot dog while on the other hand the market equilibrium quantity will be 250 hot dogs which is the point were demand and supply intersect.

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Answer:IF each vendor has his own price or (ppower) so far every single vendor will have his own price.

Step-by-step explanation:

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