Answer:
Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) = 10,002.47 KM
Step-by-step explanation:
As earth is a sphere of radius 6371 km.
Therefore at 60 degree latitude, the radius of circle can be calculated as shown below:
= 6371 * Cos 60
= 3185.5 KM
Saint Petersburg is nearly 180 degree about Anchorage by flying directly east.
So Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) can be calculated as shown below:
= (180 * 2 * 3.1416 * 3185.5) / 360
= 10,002.47 KM
The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.
Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length <em>x</em>.
Now, by the intersecting chord theorem,
16×4 = <em>x</em> × <em>x</em>
or
<em>x</em> ² = 64
so that
<em>x</em> = 8
Answer: think the answers near tenth
14: 1 × 14
2 × 7
56: 1 × 56
2 × 28
4 × 14
7 × 8
63: 1 × 63
3 × 21
7 × 9
GCF(14, 56, 63) = 7
Answer:
3 3/5 + 1 1/4 = <u>4 17/20</u>
7/8 + 1/12 =<u> 23/24</u>
8/9 - 2/5 = <u>22/45</u>
5 1/4 - 2 2/3 = <u>2 7/12</u>
Step-by-step explanation:
3 3/5 + 1 1/4
First convert into improper fractions
= 18/5 + 5/4
Now find the common denominator
72/20 + 25/20 =
97/20
Now simplify
4 17/20
<u>Next problem:</u>
7/8 + 1/12
find the common denominator
21/24 + 2/24 =
23/24
<u>Next problem:</u>
8/9 - 2/5
find the common denominator
40/45 - 18/45 =
22/45
<u>Next problem:</u>
5 1/4 - 2 2/3
First convert into improper fractions
21/4 - 8/3
find the common denominator
63/12 - 32/12 =
31/12
Now simplify
2 7/12
