The image of the right rectangular prism is missing, so i have attached it.
Answer:
volume of the right rectangular prism = 625 in³
Step-by-step explanation:
The rectangular prism is made of equal-sized cubes. Thus, let's first find the volume of 1 cube.
Formula for volume of one cube is;
V = a³
where
a is the length of one side of the cube
We are told that this length is 2½ inches
Thus;
a = 2½ = 5/2 inches
>> V = (5/2)³
>> V = 125/8 in³
Now, in the rectangular prism attached, if we count the number of cubes we have, it is equal to 40 cubes
Therefore, the volume of the prism is;
Volume of one cube × 40
>> volume of the prism = (125/8) × 40
volume of the prism = 625 in³
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The height of the branch is 9.54 ft
Step-by-step explanation:
Apply Pythagorean relationship in this question where the length of the ladder is the hypotenuse, and the distance from the tree base is the shortest side.Finding the height will be;
a²+b²=c²
a²+3²=10²
a²=10²-3²
a²=100-9
a²=91
a=√91=9.54 ft
Learn More
Pythagorean relationship:brainly.com/question/11967357
Keywords: cat, stuck, tree. rescue,base, ladder, height , branch
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Answer:
Table A and Graph A
Step-by-step explanation:
See the attached tables and graphs.
Table A gives the ordered pairs (1,2), (2,4) and (3,6).
Take the first two pairs of points.
The equation of the straight line passing through those points will be
⇒ y = 2x
Therefore, the table A represents the equation y= 2x.
Now, as shown in graph A, the points (0,0) and (1,2) and (2,4) through which this equation of straight line passes.
Therefore, the equation y = 2x is represented by graph A.
Hence, Table A and Graph A are the answers.