Volume=length X breadth X height
hence, volume= 9.6 X 5 X 7 cubic millimeters
which is equal to 336 cubic mm
Answer:
Step-by-step explanation:
In an arithmetic sequence, we keep adding/subtracting to get the next term in the sequence.
Therefore, we can make an equation that looks like this:
5k-(2k+1) = 7k+2-5k
We can subtract 2k+1 from 5k, and 5k from 7k+2, because from subtracting the difference would be the same. (common difference of sequence is what we would find)
Now, we just need to simplify.
5k-2k-1 = 2k+2
3k-1=2k+2
Now let's combine like terms, and we get:
k=3
Hope this helped!
Answer: The measurement of ∠EFG is equal to 70°.
Step-by-step explanation:
Two interior angles who are always opposite to an exterior angle sums to that exterior angle. So we would start as the following:
(6x - 10) + 38 = 7x + 18
In order to find m∠EFG, we must first isolate x. In order to do that, we first add like terms together on both sides.
(6x - 10) + 38 = 7x + 18
6x + 28 = 7x + 18
We then substract 18 on both sides.
6x + 10 = 7x
We finally substract 6x from both sides in order to have the value of x.
x = 10
Now that we know the value of x, we substitute it in our the equation in order to find m∠EFG.
m∠EFG = 6x + 10
m∠EFG = 6(10) + 10
m∠EFG = 60 + 10
m∠EFG = 70
Since both angle are congruent (equal/same), which means that both side is equal to 40 degrees, we will put the equation like this:
5x - 5 = 40
Now we’ll solve for x:
5x - 5 = 40
+ 5 + 5 (Add 5 to both sides)
5x = 45
—- —— (Five both side by 5)
5 5
x = 9
Now we left with x, so x is equal to 9.