9514 1404 393
Answer:
10.73 ft/s
Step-by-step explanation:
When the runner is halfway to first base, the triangle formed by his position and the first and second bases is a right triangle with legs of 45 ft and 90 ft. The angle between the runner's direction and the line from his position to 2nd base is ...
angle = arctan(90/45) ≈ 63.43°
The "speed made good" in the direction of 2nd base is the product of the cosine of this angle and the runner's speed toward first.
speed toward 2nd = cos(63.43°)×(24 ft/s) ≈ 10.73 ft/s
The rate the runner's distance to 2nd base is decreasing is 10.73 ft/sec.
Answer:
answer is the third choice : 104
Step-by-step explanation:
Inscribed Angle Theorem
If an angle is inscribed in a circle, then the measure of the angle equals one half the measure of its intercepted arc.
so the intercepted arc is TWICE the measure of an angle inscribed in a circle
1. A central angle is an angle with endpoints located on a circle's circumference and vertex located at the circle's center. A central angle in a circle determines an arc.
2. An inscribed angle is an angle formed by three points on the circle's circumference.
Angle at the Center Theorem: An inscribed angle is half of the central angle (if they determine the same arc).
In your case angles:
1. ∠QSR is insribed (determines the arc QR);
2. ∠QTR is central (determines the arc QR).
Then by Angle at the Center Theorem, m∠QTR=2m∠QSR=2·52°=104°. Arc QR has the same measure as central angle QSR.
gathmath
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http://cms5.revize.com/revize/williamsvilleschools/southhigh/mr_quill/geometry_r/docs/Unit%2013/Unit%2013%20Class%20Notes%20KEY.pdf
Answer:
End result is ln(-x) + 1
Step-by-step explanation:
1, ln x + 2
2. ln(x + 2) + 2
3. ln(x + 2 - 2) + 2 = ln x + 2
4. ln x + 1
5. ln(-x) + 1
Answer:
5.5
Step-by-step explanation:
2,3,3,4,5,7,8,8,8,10,10,12
The mean of this data is 7.5. So what you are trying to figure out is the mean between 2 and 7. Since that is 3 and 4 it would be 3.5. So 3.5 is the Q1. Now you have to figure out the mean between 8 and 12. That is 9. This is Q3. You have to subtract 9-3.5 and that is the interquartile range. So 5.5 is the answer. I hope that made sense.
Answer:
The solution is (4, 0)
Step-by-step explanation:
Using Linear combination method to solve:

Since "e" have the same coefficient in both equation with opposite operator; we will add.

Divide both side by coefficient of d which is 3

Since d = 4; put 'd' into any of the equation to get 'e'

Therefore, the solution is (4, 0)