Answer:
- 3 hours
- 1 hour 45 minutes
- 300 miles
Step-by-step explanation:
1. The trains are moving toward each other at a total speed of 50 +20 = 70 miles per hour. Together, they cover the 210 mile distance in ...
time = distance/speed
time = 210 mi/(70 mi/h) = 3 h
The trains collide after 3 hours.
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2. The fly is closing with the freight train at a speed of 100 +20 = 120 miles per hour. Together, the fly and the train cover the initial 210 mile distance in ...
(210 mi)/(120 mi/h) = 7/4 h = 1 hour 45 minutes
The fly first meets the oncoming freight train after 1 h 45 min.
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3. The fly is flying for all three hours before the trains collide, so, at 100 miles per hour, will fly 300 miles.
Answer to 4.
About 106.66
If they ask if a rounded answer it would be 107. You just divide 2560 by 24 because you know 24 balls is 3 pounds.
Answer:
Step-by-step explanation:
3x3
Let's begin noting that a triangle is isosceles if and only if two of its angles are congruent. We can thus find the angle <ABP, recalling that the sum of the interior angles of a triangle is equal to 180°.
![\angle \: ABP = \frac{180 - 80}{2} = 50 \degree](https://tex.z-dn.net/?f=%20%5Cangle%20%5C%3A%20ABP%20%3D%20%20%5Cfrac%7B180%20-%2080%7D%7B2%7D%20%20%3D%2050%20%5Cdegree)
Finally, let point K be the intersection between segments BC and PQ, and let's note that the triangle PQB is a right isosceles triangle, since all the angles in a square are equal to 90°, and the two triangles APB and BQC are congruent.
Therefore, the angle BKQ is equal to 180-50-45=85°.
Of course angle BKP=180-85=95°.
Hope this helps :)
X^2+9x+9x+81
x^2+18x+81
for factoring it