Answer:the correct answer is a
Step-by-step explanation:it is a because that is the only one that is multiplying and you have to multiply L times W times H to be able to find the volume of the figure
Answer: It is about 23 feet.
Step-by-step explanation:
1. Let's call <em>x</em> the height of the mast.
2. You know that the rope is attached to a point 6 feet from the base of the mast and the rope is 24 feet long, therefore, you can draw the right triangle shown in the figure attached.
3. To calculate <em>x</em>, you must apply the Pythagorean Theorem as you can see below:

≈ 
20*15=300
It's "too short", but there's not much else to say here.
If x² = 196, then we must do the inverse (square root) to find x. However, the square root of any positive number will always be ± (plus or minus).
That means you have to do:
√196 = x
x = <span>±14.
We can check this by doing:
14 </span>× 14 = 196
-14 × -14 = 196
Therefore the answer is B) -14, 14.
Answer:
46
Step-by-step explanation:
Let
represent a number with
in the ten's position and
is the one's position.
This means
actually has value of
.
We are given the sum of those digits of
is 10; this means
.
It says if 18 is added to the number
, then the result is
.
So
has value
and
has value
.
We are given then:


Subtract
on both sides:

Simplify:

Subtract
on both sides:


Divide both sides by 9:

Rearrange by commutative property:

So the system of equations we want to solve is:


-------------------------Add equations together (this will eliminate the variable
and allow you to go ahead and solve for
:


Divide both sides by 2:

Simplify:

If
and
, then
.
since 4+6=10.
So the original number is (46).
18 more than 46 is 18+46=(64) which is what we wanted.
We also have the sum of 4 and 6 is 10 as well.