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3 years ago

Show 240.149 in two different ways

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

5 0

240 149/1000 fraction and 240.149 in decimal

KatRina [158]3 years ago

5 0

In words: two hundred and forty point one four nine
In scientific notation: 2.40149 x 102
In expanded form: 200 + 40 + 0.1 + 0.04 + 0.009

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Malika bought 7 new pairs of shoes. Each pair of shoes cost the same amount and was discounted by $21.75.

ikadub [295]

Multiply the amount of the discount by pairs of shoes:

21.75 x 7 = 152.25

Add that to the total she spent:

152.25 + 654.50 = 806.75

Divide the total by pairs of shoes:

806.75/7 = $115.25

The answer is C. $115.25

3 0

3 years ago

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.

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3 years ago

Find an equation of the circle that satisfies the given conditions:

Anna71 [15]

<span>Given the two end of the diameter of the circle, we are able to compute the center of the circle as 0.5*[(-1,3)+(7,-7)]=(3,-2). The radius of the circle is 0.5*sqrt[(-1-7)^2+(3+7)^2]=sqrt(41). Therefore the equation of the circle is (x-3)^2+(y+2)^2=41.</span>

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3 years ago

HELPPPP What is the volume of the square pyramid? Use Pythagorean’s Theorem to find the height of the pyramid

aalyn [17]

Answer: 4,111.7 mm³

Step-by-step explanation:

You need to use this formula to calculate the volume of the square pyramid:

$V=\frac{s^2h}{3}$