Answer:
14 in^3.
Step-by-step explanation:
The volume = volume of the bottom prism + volume of the top pyramid
= area of base * height of the prism + 1/3 * area of base * height of the pyramid
= 2 * 1.5 * 4 + 1/3 * (2*1.5) * 2
= 3*4 + 1/3 * 6
= 14 in^3.
The speed is the distance covered by an object at a particular time. It will take Max 10.6 hours to catch up with Rachel.
<h3>What is speed?</h3>
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance / Time
Given that Max leaves Las Vegas one hour after Rachel leaves. Also, the speed at which Rachel is travelling is 53 miles per hour. Therefore, the distance covered by Rachel in one hour is,
Distance covered by Rachel = 1 hour × 53 miles per hour = 53 miles
Now, the distance between Max and Rachel is 53 miles. Therefore, the time it will take Max to reach Rachel can be found as,
Time needed to catch up with Rachel = Distance / relative speed
Time = 53 miles / (58 mph - 53 mph)
= 53 miles / 5 mph
= 10.6 hours
Hence, it will take Max 10.6 hours to catch up with Rachel.
Learn more about Speed here:
brainly.com/question/15100898
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Answer:
The table of Henry's family will be at (4, -4)
Step-by-step explanation:
The problem states that the initial coordinates of Henry's family is at the coordinates (-4, 4). Each 15 minutes the restaurant will rotate 90° every 15 minutes. If we follow the Cartesian plane and the center of the restaurant being at (0, 0) we know that the table will be situated at the (4, 4) coordinates of the restaurant after the first rotation. After the 30 minute mark, the restaurant rotates one more time and moves the table of Henry's family at the (4, -4) coordinates of the restaurant as the center of the restaurant will never move.
Answer:
the answer is c
Step-by-step explanation:
Answer:
The equation is always false.
False
Step-by-step explanation:
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