Answer:
The answer is
<h2>36π cubic inches</h2>
Step-by-step explanation:
Volume of a sphere is given by
<h3>
</h3>
where r is the radius
From the question
r = 3 inches
Substitute the value into the above formula and solve for the volume
That's
<h3>
</h3>
We have the final answer as
<h3>36π cubic inches</h3>
Hope this helps you
Answer:
A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction.
↔ .5- 5 ↔ 5.0
↔ 2.0- -13 ↔ -13.0
- 0.38462... (
)
An irrational number is a number that is NOT rational. It's the complete opposite!
- π ↔ 3.14159
- .13133133...
↔ 0.86603...- -
↔ -2.23607... - ↔ 2.23607...
Hope this helps!!!
Answer:
36.50
To two decimal places
Step-by-step explanation:
The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.
From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.
Cos 51°=x/58
Let the size of the leg be x
Making x the subject
x=58(Cos51°)
x=36.500058
Correct to two decimal place
x=36.50
The distance between a point
on the given plane and the point (0, 2, 4) is
but since
and
share critical points, we can instead consider the problem of optimizing
subject to
.
The Lagrangian is
with partial derivatives (set equal to 0)
Solve for
:
which gives the critical point
We can confirm that this is a minimum by checking the Hessian matrix of
:
is positive definite (we see its determinant and the determinants of its leading principal minors are positive), which indicates that there is a minimum at this critical point.
At this point, we get a distance from (0, 2, 4) of
It would be: -25x - 5
Take -5 as a common here,
-5 ( 5x + 1)
In short, Your Answer would be Option B
Hope this helps!
