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1 answer:
Answer/Step-by-step Explanation:
When calculating the length of a segment on a number line, the absolute value of the difference between one point on the numberline, and another point is what we're looking for.
1. Length of RS = |-5 - (-2)| = |-5 + 2| = |-3|
RS = 3
2. Length of RT = |-5 - 2| = |-7|
RS = 7
3. Length of ST = |-2 - 2| = |-4|
ST = 4
4. Length of RU = |-5 - 8| = |-13|
RU = 13
5. Given that the following coordinates:
P = 3
Q = 8
R = 14
5. PQ = |3 - 8| = |-5| = 5
6. QR = |8 - 14| = |-6| = 6
7. PR = |3 - 14| = |-11| = 11
Given that points A, B, C, and D are collinear, and AB = x, BC = 3x, CD = 4x - 13
8. If AC = 24,
BC can be calculated as follows:
AB + BC = AC
Solve for x
Divide both sides by 4
Thus,, BC = 3x = 3(6) = 18
BC = 18
9. If BC = 15, BD can be calculated as follows:
Find the value of x first
BC = 3x
15 = 3x
Divide both sides by 3
5 = x
x = 5.
BD =
Plug in the value of x
BD =
BD =
BD = 22
10. m<PTR = 80° (taking the reading at the top from 0°)
11. m<PTQ = 45°
12. m<QTS = 128 - 45 = 83°
13. Luis read m<QTR wrongly, what he measured was the whole of <PTR.
According to the angle addition theorem, m<QTR = 80 - 45 = 35°.
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Answer:
7,897.30 miles
Step-by-step explanation:
It is given that the North Pole is at a distance of 3,949 miles from the center of the earth.
We also know that the sea floor is below 2.4 miles from the sea level.
It is given that a submarine is located at the sea floor near North Pole. Hence, the distance of the submarine from the center of the earth would be
3949 - 2.4 = 3946.6 miles.
On the other hand, the South Pole is given to be at an elevation of 1.7 miles from the sea level.
Since we know that the sea level is at a distance of 3949 miles from the center of the earth, we can immediately calculate the distance of the South Pole from the center of the earth to be
3949 + 1.7 = 3950.7 miles.
Putting all of this together, we see that the center of the earth is at a distance of 3946.6 miles from the submarine near the North Pole, and the center of the earth in turn is 3950.7 miles from the South Pole.
Hence, the distance between the submarine and a person on the South Pole = 3946.6 + 3950.7 = 7897.3 miles.
