Answer:
A. 432=18x
B. 22-see explanation
C. 24
D. See if your rounded answer and the actual answer are close.
Step-by-step explanation:
A. He buys a new phone for $432, and pays each month. We will use the variable x, and "x" will represent how many months he pays. It says that he pays $18 per month, so the equation would be 432=18x.
B. We need to isolate x, and to do this we have to divide 432 by 18. To approximate this answer, round 432 to 440 and 18 to 20. Now, divide 440 by 20. We get 22, so this will be the estimation.
C. Divide 432 by 18. We get 24.
E. You can see if it is reasonable if they are close in value.
Answer:
- arc second of longitude: 75.322 ft
- arc second of latitude: 101.355 ft
Explanation:
The circumference of the earth at the given radius is ...
2π(20,906,000 ft) ≈ 131,356,272 ft
If that circumference represents 360°, as it does for latitude, then we can find the length of an arc-second by dividing by the number of arc-seconds in 360°. That number is ...
(360°/circle)×(60 min/°)×(60 sec/min) = 1,296,000 sec/circle
Then one arc-second is
(131,356,272 ft/circle)/(1,296,000 sec/circle) = 101.355 ft/arc-second
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Each degree of latitude has the same spacing as every other degree of latitude everywhere. So, this distance is the length of one arc-second of latitude: 101.355 ft.
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<em>Comment on these distance measures</em>
We consider the Earth to have a spherical shape for this problem. It is worth noting that the measure of one degree of latitude is almost exactly 1 nautical mile--an easy relationship to remember.
C. 1 1/3
7/9 + 5/9 = 12/9
12/9 = 1 3/9 = 1 1/3
1)
Parameter = 10+7+3+8+4+8+3+7
Parameter = 50 ft
2)
Area = Area 1 + Area 2
Area = (10x7) + (4x8)
Area = 70 + 32
Area = 102 Sq. Feet