3 years ago

Round 7,464,000 to the nearest hundred thousand

Mathematics

1 answer:

butalik [34]3 years ago

8 0

It is 7,500,000 because the ten thousands place is closer to 10 so the hundred thousands place goes up so it 7,500,000

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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

Convert 29 inches to feet. Round answers to the nearest tenth

Bess [88]

29 ÷ 12 = 2.41667
Your answer is 2.4 feet

7 0

3 years ago

24x10=?? (Please explain in zero the hero or in 4 square..)

Tamiku [17]

240, you just add a zero to 24, I don't know what you mean by zero the hero of 4 square, hope this helps!

6 0

2 years ago

Read 2 more answers

In ΔWXY, the measure of ∠Y=90°, XW = 89, WY = 80, and YX = 39. What ratio represents the cosine of ∠X?

BartSMP [9]

Answer:

It's 39/89

Step-by-step explanation:

cos X = adjacent/ hypotenuse = 39/89

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2 years ago

Solve the equation<br> -3(x - 5) = 45

Olegator [25]

Answer:

x= -10

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

x = − 10

plz brainliest :'D

7 0

2 years ago