Answer:
Length: 12 cm
Width: 8 cm
Height; 7 cm
Step-by-step explanation:
We are told that the areas of 2 of the faces are 84cm² and 56cm².
Now, the side faces are 4 in total with 2 each having same areas.
Thus, it means they would have the same height.
Let's find the highest common factor between 84cm² and 56cm².
The highest number that can be divide each equally is 7.
Thus;
12 × 7 = 84 cm²
8 × 7 = 56 cm²
This means, the bottom part will measure 12 cm by 8 cm.
Thus, the complete measurement is;
Length: 12 cm
Width: 8 cm
Height; 7 cm
Let's check if it will give us a Volume equal to that given.
Thus;
Volume = 12 × 8 × 7 = 672 cm²
This is same as that given and so our dimensions are correct.
1/4x -2 = -6 + 5/12x
3x - 24 = -72 +5x
3x -5x = -72 +24
-2x = -48
x = 24
The number of unique combinations that can be formed by picking one object from each set is =960. That is option C.
<h3>Calculation of unique combinations of a number set</h3>
Number combination is a mathematical technique that shows the number of possible arrangements in a collection of items.
The first set of objects = 4. There are a total of 4 possibilities.
The second set of objects = 5. There are a total of 5 possibilities
Therefore from first and second set, the total number of possibilities = 4×5 = 20
For the whole set, the total possibilities;
= 4×5×6×8
= 960
Learn more about number combination here:
brainly.com/question/295961
#SPJ1
Answer:
A 27
Step-by-step explanation:
f(5) means x = 5, so substitute 5 into 1/9(3)^x
f(5) = 1/9(3^5) = 1/9(243) = 27
They will usually have a dash in the line, or the same number next to both of them.
Hope this helped!