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3 years ago

The scale of a map is 3 ft = 84 miles Map:4.5 Actual-

Mathematics

1 answer:

Alinara [238K]3 years ago

6 0

Answer:

0.0022369362920544 mile

Step-by-step explanation:

Convert 3.6 Meters to Miles (m to mile) with our conversion calculator and conversion tables. To convert 3.6 m to mile use direct conversion formula below.

3.6 m = 0.0022369362920544 mile.

You also can convert 3.6 Meters to other Length (popular) units.

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1. Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.

iren2701 [21]

Answer:

Part 1)

Bob's mistake was to have used the cosine instead of the sine

The measure of the missing angle is $53.13\°$

Part 2) The surface area of the pyramid is $288\ cm^{2}$

Step-by-step explanation:

Part 1)

Let

x----> the missing angle

we know that

In the right triangle o the figure

The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle

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$x=arcsin(\frac{16}{20})=53.13\°$

Bob's mistake was to have used the cosine instead of the sine

Part 2) we know that

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$SA=b^{2}+4[\frac{1}{2}(b)(h)]$

where

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h is the height of the triangular lateral face

In this problem

$h=b/2$ -------> by an 45° angle

$b=2h$

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4 years ago

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3 years ago

The function P(t)=87,000e^0.106t models the population of a city, t years after 2010. How many people lived in the city in 2010?

Bumek [7]

Answer:

87,000 ; 10.6%

Step-by-step explanation:

Given the function :

P(t)=87,000e^0.106t

P(t) is an exponential function ; comparing the given function to the general form of an exponential function :

y = Ae^rt

Where,

A = initial amount ; r = growth rate ; t = time

The Given function models t years after 2010, that is the 2010 population is the initial population of the city.

Comparing the general exponential equation with the function given:

A = 87,000 = population of city in 2010

The growth rate :

rt from the general equation compares to 0.106t in the given function.

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r = 0.106

Hence, the rate of change = 0.106 * 100% = 10.6%

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3 years ago