Answer:
7.1 hours
Step-by-step explanation:
Given data
Let the number of hours taken to fill the pool be x
the current quantity is 1/2 the capacity of the pool
we are given that the rate of flow = 4.75 in per hour
let the total amount of water after x hours be y, the expression for the quantity of water is given as

if y= 33.75 in, let us find x

divide both sides by 4.75

Hence, it will take 7.1 hours
The projection of vector A <em>parallel</em> to vector B is
and the projection of vector A <em>perpendicular</em> to vector B is
.
In this question, we need to determine all projections of a vector with respect to another vector. In this case, the projection of vector A <em>parallel</em> to vector B is defined by this formula:
(1)
Where
is the norm of vector B.
And the projection of vector A <em>perpendicular</em> to vector B is:
(2)
If we know that
and
, then the projections are now calculated:





The projection of vector A <em>parallel</em> to vector B is
and the projection of vector A <em>perpendicular</em> to vector B is
.
We kindly invite to check this question on projection of vectors: brainly.com/question/24160729
Answer:
32
Step-by-step explanation:
if y = one of those choises. the quarter of 32 is 8. half 32 is 16. 3/4 is 26.
(1/4)*328
8<u>>8</u>
FORMULA:
- Pythagorean property —: h² = b² + p², where h = hypotenuse, b = base, p = perpendicular.
ANSWER:
By pythagorean property,
- x² = 25² + 100²
- x² = 625 + 10000
- x² = 10625
- x = √10625
- x = 103 cm rounded.
Hence, the length of x is 103 cm.