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marin [14]
3 years ago
5

At sea, the distance D to the horizon is directly proportional to the square root of the elevation E of the observer. If a perso

n who is 36 feet above the water can see 7.4 miles, find how far a person 49 feet above the water can see.
Mathematics
1 answer:
Alla [95]3 years ago
7 0
<span>The problem says that the distance D to the horizon is directly proportional to the square root of the elevation E of the observer, so:
</span>
 The person who is 36 feet above the water ⇒ √36=6 

 A person 49 feet above the water ⇒ √49=7
<span>
 So, by proportions, you have:

 (7/6)x7.4= 8.63 miles

 Therefore, the answer is: </span><span>a person 49 feet above the water can see 8.63 miles</span><span> </span>
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Which graph represents the solution to the given system? y = –2x + 5 and y = 3x – 2
DaniilM [7]
Y = -2x + 5        y =3x - 2
Since both equations are equal to 'y' you can set them equal to each other to solve.
-2x + 5 = 3x - 2             Subtract 3x from both sides
-5x + 5 = -2                  Subtract 5 from both sides
-5x = -7                        Divide -5 on both sides
x = 7/5
Plug 7/5 back in for x and solve for y.
y = -2(7/5) + 5
y = (-14/5) + (25/5)
y = 11/5
(7/5, 11/5) OR (1.4, 2.2)


4 0
3 years ago
Read 2 more answers
A submarine left Diego Garcia five hours before a cruise ship. The ships traveled in opposite directions. The cruise ship travel
Rina8888 [55]

Answer:

The speed of the submarine is 15.429 miles per hour.

Step-by-step explanation:

Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:

Ship

x_{Sh} = x_{o} + v_{Sh}\cdot t

Submarine

x_{Su} = x_{o}+v_{Su}\cdot t

Where:

x_{o} - Position of Diego Garcia island, measured in miles.

x_{Sh}, x_{Su} - Current positions of ship and submarine, measured in miles.

v_{Sh}, v_{Su} - Velocities of ship and submarine, measured in miles per hour.

t - TIme, measured in hours.

If we know that x_{Sh} - x_{Su} = 241\,mi, v_{Sh} = 19\,\frac{mi}{h} and t = 7\,h, then:

x_{Sh} - x_{Su} = (v_{Sh}-v_{Su})\cdot t

We clear now the velocity of submarine:

\frac{x_{Sh}-x_{Su}}{t} = v_{Sh}-v_{Su}

v_{Su} = v_{Sh}-\frac{x_{Sh}-x_{Su}}{t}

v_{Su} = 19\,\frac{mi}{h} -\frac{241\,mi}{7\,h}

v_{Su} = -15.429\,\frac{mi}{h}

Speed of the submarine is the magnitude of its velocity, which is 15.429 miles per hour.

4 0
3 years ago
A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has
statuscvo [17]

Answer:a) 54/55

b) 100/110

c) 99/110

Step-by-step explanation:

a)Probability of ordering 4= 9/12×3/11×2/10×1/9 = 54/11880

Probability of 4 good units= 4 × 54/11880

= 216/11880

1/55

1-(1/55) = 54/55

b)Probability of 2 good units= 2 × 54/(11880)

= 108/11880

= 1/110

1- (1/110)= 100/110

c) Probability of exactly 2 units not good= 1 -(100/110) =99/110

8 0
3 years ago
PLEASE HELP WITH 17 and 18
Zinaida [17]
17
linear has 1 as highest exponent
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You would square 3968 and subtract 1.
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3 years ago
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