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Irina18 [472]
3 years ago
7

Before radar and sonar, sailors would climb to the top of their ships to watch for land or changes in weather. If the lookout at

the top of the mast can see an island seven miles away, about how tall is the mast? Round your answer to the nearest whole number if necessary. Use the formula for the relationship between height (h) and visibility - how far you can see, (d):
Mathematics
2 answers:
Rudiy273 years ago
8 0
D = 5/6 sqrt(h)
7 = 5/6 sqrt(h)
42/5 = sqrt(h)
h = (42/5)^2 = 1,764/25 = 70.56

The height of the mast is 70.56 miles
Simora [160]3 years ago
7 0

Answer:

71 miles

Step-by-step explanation:

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Give an odd function which of following transformations would result in an odd function
tamaranim1 [39]

Answer: Reflection across the x-axis and Vertical stretch are the ones that return an odd function.

Step-by-step explanation:

An odd function f(x) is a function such that:

f(-x) = -f(x).

So let's analyze the options:

A) Horizontal translation.

An horizontal translation of A units to the right (A > 0) is written as:

g(x) = f(x  - A)

Now, let's see if g(x) is also odd.

g(x) = f(x - A)

g(-x) = f(-x - A)

Now, f(-x - A) is equal to -f( x + A)

then:

g(-x) = f(-x - A) ≠ -g(x) = -f(x - A)

This is not an odd function.

B) Reflection over the x-axis.

When we have a point (x, y), a reflection over the x-axis changes the sign of the y-variable.

Then we have that:

g(x) = -f(x).

Then:

g(x) = -f(x)

g(-x) = -f(-x) = -(-f(x)) = f(x)

then:

g(x) = -f(x) = -g(-x)

This is an odd function.

C) Vertical stretch:

We can write a vertical stretch of factor scale A as:

g(x) = A*f(x).

Let's see if g(x) is odd:

g(-x) = A*f(-x) = A*(-f(x)) = -A*f(x) = -g(x)

this is a odd function.

C) Vertical translation:

A vertical translation of A units up (A > 0) is written as:

g(x) = f(x) + A.

Similar to the case of the horizontal translation, so it is easy to see that g(x) is not an odd function.

8 0
4 years ago
I'm stumped on this one. it's homework and I need help. thanks
qaws [65]
Okay so in order to find the circumference we would first need to find either the diameter or radius of the circle. The perimeter of the square is 40 and each side is equal. 40/4 = 10. So the length of one side is 10. The length of one side would be the diameter of the circle.

Diameter = 10

The only thing that is left is to find the circumference.

The formulas for circumference are:
C = \pid
C = 2\pir

So just multiply the diameter by pi (3.14)

10 x 3.14 = 31.4
or 10\pi (Which would be the answer to your problem)
 

8 0
3 years ago
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What causes currents in the ocean
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7 0
4 years ago
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What solves for the variable? (g + 7) / 7 = 3<br><br> Thanks :)
sveta [45]

Answer:

g=14

explanation:

4 0
4 years ago
The fountain is made up of two semicircles and one quarter circle. Find the perimeter and area of the fountain.
antoniya [11.8K]

Answer:

628ft²

Step-by-step explanation:

From the diagram, we are given the following

diameter of the semicircles

2semi circles  = 1 circle

Area of 2semicircles = πd²/4

Area of 2semicircles = 3.14(20)²/4

Area of 2semicircles = 3.14*400/4

Area of 2semicircles = 3.14*100

Area of 2semicircles = 314ft²

Area of the quarter circle =  πd²/4 * 1/4

Area of the quarter circle =  πd²/16

d = 2r

d = 2*20

d = 40ft

Area of the quarter circle  = 3.14(40)²/16

Area of the quarter circle = 3.14*1600/16

Area of the quarter circle = 3.14*100

Area of the quarter circle = 314ft²

Area of the fountain = 314ft²+314ft²

Area of the fountain = 628ft²

3 0
4 years ago
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