Answer:
924m^3 is the volume of the rectangular prism
Answer:
Points apply to the given situation:
(a)The puppy will run into the wall after 5 seconds
(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second.
(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.
Step-by-step explanation:
We have given,
A puppy is running at a rate = 4 feet per second
A wall is 20 feet away from puppy. That means initially puppy is 20 feet away from the wall.
So, time taken by puppy to reach the wall =
i.e. time take by puppy to reach the wall = = 5 seconds
Now we write the points that apply to this situation:
(a)The puppy will run into the wall after 5 seconds
(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second. {Since the puppy is moving towards the wall that means horizontal distance is decreasing at a rate of -4 feet per second}
(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.
The amount needed to purchase materials needed to cover the area of the triangular flag is: $54.
<h3>What is the Area of a Triangle?</h3>
Area of a triangle = 1/2(bh)
Given the dimensions of the flag as the following:
base (b) = 18 in.
height (h) = √(41² - 9²) = 40 in.
Area of the flag = 1/2(18)(40) = 360 in.²
Cost of material needed = (360)(0.15) = $54
Learn more about area of a triangle on:
brainly.com/question/9030437
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13. Answer: n ≥ 108
<u>Step-by-step explanation:</u>
18 ≤ n ÷ 6
<u>×6 </u> <u> ×6 </u>
108 ≤ n → n ≥ 108
Note: The line under the inequality symbol represents a closed dot
Graph: 108 ·---------------→
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14. Answer: x > -4
<u>Step-by-step explanation:</u>
-3x < 12
<u>÷(-3) </u> <u>÷(-3) </u>
x > -4 <em>Flip the inequality sign when × or ÷ by a negative </em>
Note: No line under the inequality symbol represents an open dot
Graph: -4 o-----------→
That my dear your answer would be 16 degrees hope this helped