Answer:
Considering that the shaded area is the part of the semi circle outside the triangle:
Area of circle= Pi x radius2 (this means radius squared)
Area of triangle= 1/2 x base x height
1/2 (because it is a semi circle) x 3.14 (in replacement of pi as directed by question) x 9squared= 127.17
127.17 - (1/2 x 18 x 9) = 46.17cmsquared
In accordance with the function <em>velocity</em>, the car will have a complete stop after 6 seconds.
<h3>When does the car stop?</h3>
Herein we have a function of the velocity of a car (v), in feet per second, in terms of time (t), in seconds. The car stops for t > 0 and v = 0, then we have the following expression:
0.5 · t² - 10.5 · t + 45 = 0
t² - 21 · t + 90 = 0
By the <em>quadratic</em> formula we get the following two roots: t₁ = 15, t₂ = 6. The <em>stopping</em> time is the <em>least</em> root of the <em>quadratic</em> equation, that is, the car will have a complete stop after 6 seconds.
To learn more on quadratic equations: brainly.com/question/2263981
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Is there more to questions. you can solve it with little info
Answer:
A
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original
scale factor = 
= 
= 3 → A
8748 in³ is the volume of the moving box with a base area of 324 in² and a height of 27in.
<h3>What is the volume of the moving box?</h3>
A square prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The volume of a prism is expressed as;
V = w × l × h
Where w is the width, h is height and l is length
Since base area = l × w
Volume = Area × h
Given the data in the question;
- Base area = 324 in²
- Height = 27 in
- Volume V = ?
To determine the volume of the moving box, plug the given values into the above formula and simplify.
Volume = Area × h
Volume = 324 in² × 27 in
Volume = 8748 in³
Therefore, the volume of the box is 8748 in³.
Option B is the correct answer.
Learn more about rectangular prism here: brainly.com/question/21416050
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