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RideAnS [48]
3 years ago
15

What is the approximate distance between Portland, Oregon (45° north, 122° west), and San Francisco, California (37° north, 122°

west). Use 3,960 miles for the radius of Earth.
258 miles



553 miles



720 miles



1,346 miles
Mathematics
2 answers:
RoseWind [281]3 years ago
5 0
From the given data in the problem, the longitude is essentially the same, and using the coordinates, the locations are 8° apart. The 8° is 8/360 of the circumference of the circle. The circumference is 2π • 3960.   <span>Substituting,  </span><span>(8 • 2π • 3960) / 360 = 4π • 44 = 553 miles. Thus, option B is the answer. </span>
cluponka [151]3 years ago
4 0

The correct answer is

553 miles

:)

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Why is it important that the weight is shown on a food label?​
Drupady [299]

There are many answers o this question

just think,

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6 0
3 years ago
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A cube has six sides that are numbered 1 to 6 the sides numbered 1, 3 and 5 are yellow and the sides numbered 2, 4 and 6 are ora
natita [175]

Answer:

0/0

Step-by-step explanation:

The number can't be even and yellow if all yellow numbers are odd.

3 0
3 years ago
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Suppose that we have a right triangle $ABC$ with the right angle at $B$ such that $AC = \sqrt{61}$ and $AB = 5.$ A circle is dra
MaRussiya [10]

Answer:

  CP = 6

Step-by-step explanation:

The length of segment BC is given by the Pythagorean theorem:

  AC² = AB² +BC²

  (√61)² = 5² + BC² . . . . . fill in the given numbers

  61 -25 = BC² = 36 . . . . .subtract 25

  BC = 6 . . . . . . . . . . . . . . take the square root

Since the center of the circle is on AB and is tangent to BC, it must pass through point B. That is, segment BC of length 6 is one of the tangent lines from point C. The other one, to point P, must be the same length, so ...

  CP = 6

4 0
4 years ago
Classify the series as arithmetic or geometric then determine whether the series is convergent or divergent
olga55 [171]

Answer:     Arithmetic , Divergent


Step-by-step explanation:

Given sequence is  

{aₙ} =  {  4 , 10/3  , 8/ 3 , 2 , . . .   }

To check whether the sequence is geometric or not , we divide second term by first term  to find the common ratio . Then we again divide third term by second term to get common ratio .

The common ratio we get would same , then it is geometric .

         10/3               10            5

r₁  =  -----------  =     ------    =   ------

             4                12             6

        8/3                8                  3                4

r₂=   ----------   =  ----------  *   ------------   =     -----

           10/ 3             3              10                  5


Thus the common ratio are not same . So the sequence is not geometric .

Now we check for arithmetic .

We take difference of second and first term and then difference of third and second term . If it will be same then it is arithmetic . This is called common difference , d .

             10                       -  2

d₁   =    ------     - 4   =       -------

              3                          3

                8            10             - 2

d₂   =    ------    -   --------    =   ---------

               3             3                 3

Thus the common difference is same .

So the given sequence is arithmetic .

To find whether it is convergent or divergent , we need to write sum of n terms first .

Formula for finding sum of n terms of arithmetic sequence is

            n

sₙ =     -----  [ 2a + ( n - 1 ) d]

             2

We have a = 4 , d = - 2/3 .

Plug  in this formula we get

              n                                                    n                2             2

sₙ  =     ------- [ 2 * 4 + ( n - 1 ) ( -2/3) ]  =     ------ [  8 -   -----  n  +   ------  ]

              2                                                    2                3               3

           n          26              2

sₙ  =   ------  [    ------    -    ------- n  ]

           2           3                3


To check whether it is convergent or divergent , we take limit sₙ approaches to infinity .

                               n       26       2

lim   sₙ   =     lim    { ---   [  ---  -  ------ n ] } =     - ∞

n → ∞           n→∞      2        3       3


As the sequence diverge , thus the series is divergent .

Thus given series is arithmetic , divergent .

Second is the  correct option .


4 0
3 years ago
Solve by substitution <br> -X-4y=8<br> x+4y=-1
Rufina [12.5K]

Answer:

Your answer is: No solution

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Step-by-step explanation:

Hope this helped : )

3 0
3 years ago
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