Answer:
The shortest side = 6
The third side = 9
The hypotenuse (the longest side) = 16
Step-by-step explanation:
First, let's establish the following based on the information given:
The shortest side = x
The third side = (x + 3)
The hypotenuse (the longest side) = (2x + 4)
The perimeter = 31
Since the perimeter is the total of all 3 sides, we are left with this equation:
(x) + (x + 3) + (2x + 4) = 31
From here, combine like-terms and solve for x.
(x) + (x + 3) + (2x + 4) = 31
(4x + 7) = 31
4x = 24
x = 6
Now that we know the value of x, we can apply this to the predetermined formulas to find the measurements of the remaining two sides.
The shortest side = 6
The third side = (x + 3) = 9
The hypotenuse (the longest side) = (2x + 4) = (2(6) + 4) = (12 + 4) = 16
To check, add all of the sides together to make sure they equal 31.
6 + 9 + 16 = 31
~Hope this Helps!~
The volume of the rectangular prism is 3359232 cubic centimeters
<h3>How to determine the volume?</h3>
The length of the cube is given as:
Length, l = 12 cm
The volume of a cube is:
So, we have:
Evaluate
V = 1728
The volume of 1944 cubes is then calculated as:
Volume = 1728 * 1944
Evaluate
Volume = 3359232
Hence, the volume of the rectangular prism is 3359232 cubic centimeters
Read more about volumes at:
brainly.com/question/1972490
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<h3>Complete question</h3>
There are exactly 1,944 of the 12 cm, or 0.5 foot cubes inside a rectangular prism. What is the volume of the rectangular prism in cubic centimeters?
Answer:
x = 28.07°
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle given = x°
Opposite = 8
Hypotenuse = 17
Apply SOH:
Substitute
x = 28.07° (nearest hundredth)
Well, keep in mind that the domain of a function is the entire set of possible values of the independent variable. To make it more clear, the domain is the set of all possible x-values, which will make the function work, and with real y-values as the output. So, the range would be the set of all of the second elements of an ordered pair (y-coordinates).
If you made a T chart like the picture you have above, you would have to put x (age of person) and y (books read).
So,
x = age of person
y = books read
Answer: No, because 4(2) + 4 ≠ 9
Step-by-step explanation:
No, because 4(2) + 4 ≠ 9
