Answer:
time = 1 hour 24 minutes
Step-by-step explanation:
Given that:
Eastbound train travels at a rate of 65 miles per hour
Westbound train travels at a rate of 85 miles per hour
So speed = 65 + 85 = 150 miles per hour
Total distance = 210 miles
We have to find the time
We know that
Distance = time * speed
OR
time = distance / speed
time = 210/150
time = 1.4 hours
Or it can be written as:
time = 1 hour 24 minutes
i hope it will help you!
The missing justification in Julia's angle proof is; Corresponding Angles Theorem
<h3>What is the angle theorem used?</h3>
We know that m∠AGE ≅ m∠HGB because they have congruent angles and are vertical angles.
Similarly, m∠HGB ≅ m∠CHE are alternate interior angles because two congruent angles on the inner side of the parallel lines are formed by a transversal.
In the diagram, m∠AGE ≅ m∠CHE would have to be corresponding Angles Theorem because parallel lines cut by a transversal would create congruent corresponding angles. That means a pair of angles on the same side of one of two lines that is cut by a transversal and on the same side of the transversal.
Read more about Angle theorem at; brainly.com/question/24839702
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Answer:
Step-by-step explanation:
Sum of interior angles of a polygon formula:
n represents the n-sided polygon
Answer:
<u>The area of a pizza made in that circular pan is 452.39 inches²</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Diameter of the circular pan = 24 inches
Radius of the circular pan = 24/2 = 12 inches
2. What is the area of the pizza?
Let's use the formula of the area of a circle, this way:
Area = π * r²
Substituting with the real values, we have:
Area = 3.1416 * 12²
Area = 452.39 inches²
<u>The area of a pizza made in that circular pan is 452.39 inches²</u>
Answer:
12. 1 second, 35 ft; 2 seconds, 32 ft
13. (t, y) = (1.4 seconds, 37.6 feet)
14. 37.6 ft; the vertex is the highest point
Step-by-step explanation:
12. You have properly answered question 12.
After 1 second, the height is 35 feet; after 2 seconds, it is 32 feet.
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13. My method of choice is to plot the graph on a graphing calculator and let it show me the coordinates of the vertex when I highlight that point. (See attached.) The vertex is ...
(t, y) = (1.4, 37.6)
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14. The graph is a graph of height when the object is launched with a vertical velocity of 45 ft/s. So, the maximum of the graph will correspond to the maximum height of the object. The vertex is that maximum point, and its y-coordinate is that maximum height.
The maximum height is 37.6 feet.
