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rodikova [14]
2 years ago
5

San Antonio, Texas, is located about 30º north of the equator. If the radius of the Earth is about 3959 miles, how far to the ne

arest mile is San Antonio from the equator?
Mathematics
1 answer:
Molodets [167]2 years ago
5 0
Answer: 2,073

Explanation:


1) Circumference of the Earth:

Circumference = 2π x radius

⇒ Circumference = 2π × 3959 miles = 24,875.13 miles

2) Distance between San Antonio and the Equator.

Note that that distance corresponds to the arc length of a sector of 30°.

That let's you to set the proportion:

\frac{24875.13}{360} = \frac{x}{30}

From which you can clear the unknown:

x = 30 × 24,875.13 / 360 = 2,072.93

Which rounded to the neares mile is 2,073

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Please answer quickly I will give brainliest- Kelsey has a list of possible functions. Pick one of the g(x) functions below and
Marizza181 [45]

Answer:

1. Behavior

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. y-intercept= -18

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Step-by-step explanation:

1. End behavior:

To find this you have to know the leading coefficient of the variable with the highest degree, and whether the degree is even or odd.  

(x + 3) = x positive, coefficient 1

(x + 2) = x positive, coefficient 1

(x − 3)=  x positive, coefficient 1

The coefficient is 1*1*1= 1 = positive

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The behavior for odd and positive will be:

g(x) is + ∞ when x=>+∞

g(x) is -∞ when x=>-∞

or

The g(x) is large and positive when x is large and positive;

The g(x) is large and negative when x is large and negative.

2. Y-intercept

The y-intercept is the value of y when the graph touches the y-axis. The y-axis is located at x=0, so to find the y-intercept you need to put x=0 on the graph function. Some graphs can have two y-intercepts but the graph on the question only has one. The calculation will be:

y-intercept = g(0)= (0+3)(0+2)(0-3)

y-intercept = 3*2*-3

y-intercept= -18

3. Zeros

The zeros mean the value of x that will result as g(x) as zero. At this coordinate, the graph will touch the x-axis since g(0) is located on the x-axis. That is why this coordinate also called an x-intercept. The function is expressed as the product of three things. If any of them is 0, then the result will be 0. So we have 3 zeros

x_{1}+3=0

x_{1}=-3

x_{2} +2=0

x_{2}=-2

x_{3}-3=0

x_{3}=3

The zeros are: -3, -2 and 3

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3 years ago
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Step-by-step explanation:

                 

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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