How do you write 8.04 × 104 in standard form? (plzzz help) (NO LINKS)

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

3 years ago

If line T is a transversal of lines I and m, name the angel relationship of the given angle pairs

kolbaska11 [484]

Answer:

a. corresponding angles (congruent)

b. alternate exterior angles (congruent)

c. same-side interior angles (supplementary)

Step-by-step explanation:

The vocabulary associated with angles created by a transversal and parallel lines is not so difficult.

If angles are on the same side of the transversal, they are same-side angles. If not, they are alternate angles.

If angles are between the parallel lines, they are interior angles. If not, they are exterior angles.

If the angles are in the same direction from the point of intersection of the transversal with the parallel line, they are corresponding. Corresponding angles are same-side; one is interior and the other is exterior.

These names generally apply to angles with different vertices.

__

a. Both angles are northwest of the intersection point; they are same-side, and one is interior and one is exterior. They are corresponding angles. (congruent)

__

b. The angles are on opposite sides of the transversal and are outside the parallel lines. They are alternate exterior angles. (congruent)

__

c. The angles are on the same side of the transversal, and both are between the parallel lines. The are same-side interior angles. (supplementary)

3 0

3 years ago

Which numbers are rational. 3 1.8989 را با 0.5 2.0

Lerok [7]

Answer:

All of those numbers are rational

3 0

3 years ago

Find the seventh term of the

jekas [21]

Answer:

$T_7 = \frac{64}{729}$