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MAVERICK [17]
2 years ago
13

A train is traveling up slight grade with an angle of inclination of only 2 degrees. After traveling 1 mile, what is the vertica

l change in feet?
Mathematics
1 answer:
patriot [66]2 years ago
7 0
Tan 2° = x / 1 mile,   where x is the vertical change
0.03492 = x / 1 mile
x = 1 mile · 0.03429 = 0.03492 miles
1 mile = 5,280 feet
0.03492 · 5,280 = 184.38 ft
Answer: The vertical change is 184.38 feet 
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olasank [31]

Assuminhg the ark has a shoe-box (cuboid) shape it´s volume would be:

V_{cuboid}=lenght*width*height

We have this three measurements (l=300cubits;w=50cubits;h=30cubits)) and it can be as simple as replacing them in the equation and solving but they are in all in cubits. We will convert them to ft because the problem requires the answer in ft^{3}. In order to do this we will use the given equivalences:

1cubit=6palms\\1palm=3.10in

and another one:

1ft=12in

First we will convert from cubits to palms:

l=300cubits*\frac{6palms}{1cubit}=1800palms\\w=50cubits*\frac{6palms}{1cubit}=300palms\\h=30cubits*\frac{6palms}{1cubit}=180palms\\

now from palms to in:

l=1800palms*\frac{3.10in}{1palm}=5580in\\w=300palms*\frac{3.10in}{1palm}=930in\\h=180palms*\frac{3.10in}{1palm}=558in\\

now from in to ft:

l=5580in*\frac{1ft}{12in}=465ft\\w=930in*\frac{1ft}{12in}=77.5ft\\h=558in*\frac{1ft}{12in}=46.5ft

We can calculate the Volume now like this:

V_{ark}=465ft*77.5ft*46.5ft=1675743.75ft^{3}

The volume of trhe ark would be 1675743.75ft^{3}

6 0
2 years ago
A rectangle has height and width changing in such a way that the area remains constant 2 square feet. At the instant the height
hichkok12 [17]

Answer:

\frac{1}{3} ft/min is the rate of changing of width

Step-by-step explanation:

Given -

The area always remain constant i.2 2 square feet.

Height of the rectangle = 2 feet

Rate of changing of height = 6 feet per minute

Since area is constant

2 sq ft = (2 * 6) ft/min * 1 * x ft/min

x = \frac{1}{3} ft/min

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sergejj [24]

Answer:

1/6

Step-by-step explanation:

two events need to happen: tutti frutti needs to be shown by first spinner and second spinner needs to show dish

probability of tutti frutti = 1/3

probability of dish = 1/2

probability of both events = 1/3 * 1 /2 = 1/6

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Which model shows 64−−√3=4 ?
Kipish [7]

Answer:

Step-by-step explanation:

model C

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the different volume is the numbers. 4*2*6=?


3 0
2 years ago
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