all I drink 3/4 of a 16 fluid ounce bottle of juice how many fluid ounces of juice are left in the bottle
2 answers:
You might be interested in
<h2>Answer:</h2>
Transformations are important subjects in geometry. In this exercise, these are the correct transformation rules:
<h3>1. Reflection over x-axis:</h3>Consider the point , if you reflect this point across the x-axis you should multiply the y-coordinate by -1, so you get:
Consider the point , if you reflect this point across the y-axis you should multiply the x-coordinate by -1, so you get:
Consider the point . To rotate this point by 90° around the origin in counterclockwise direction, you can always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:
Consider the point . To rotate this point by 180° around the origin, you can flip the sign of both the x- and y-coordinates. In a mathematical language this is as follows:
Rotate a point 270° counter-clockwise about origin is the same as rotating the point 90° in clock-wise direction. So the rule is:
Draw an illustration describing the problem as shown in the attached picture. The black box drawn represents the tank of water with dimensions labeled 30cm×48cm×36 cm. Jennifer and her friends threw heavy solid objects represented by the blue box. It has dimensions of 12cm×12m×20 cm. These boxes occupy the bottom of the tank up to a height of 28 cm drawn by the blue lines. Now, I think the question will be how many of those heavy solid objects will fill up the bottom of the tank. The other question would be, how much is the volume of water displaced by the heavy solid objects.
First, let's compute the volume of each solid object labeled as v.
v = 12×12×20
v = 2,880 cm³
Next, let's solve the volume to be filled up by these solid objects, labeled as V.
V = 30×48×28
V = 40,320 cm³
This is the volume of water displaced. When Jennifer and her friends drop the solid objects, each volume of object dropped corresponds to the same volume of water that overflows from the tank.
Next, we solve how many solid objects does it take to occupy 40,320 cm³.
Number of blocks = 40,320 cm³/2,880 cm³
Number of blocks = 14
Therefore, it would take 14 heavy solid objects to displace 40,320 cm³ of water.
First, let's compute the volume of each solid object labeled as v.
v = 12×12×20
v = 2,880 cm³
Next, let's solve the volume to be filled up by these solid objects, labeled as V.
V = 30×48×28
V = 40,320 cm³
This is the volume of water displaced. When Jennifer and her friends drop the solid objects, each volume of object dropped corresponds to the same volume of water that overflows from the tank.
Next, we solve how many solid objects does it take to occupy 40,320 cm³.
Number of blocks = 40,320 cm³/2,880 cm³
Number of blocks = 14
Therefore, it would take 14 heavy solid objects to displace 40,320 cm³ of water.