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3 years ago

Find the volume of the rectangular prism. IN in. 4 in. 9-in. 2 I

Mathematics

1 answer:

prisoha [69]3 years ago

6 0

Answer:

V = 36 in³

Step-by-step explanation:

The volume of a rectangular prism is given by the formula V = l × w × h

Here our length is $9\frac{1}{2}$ , our width is 4, and our height is $4\frac{1}{2}$

Plugging in these values to our formula give us $V=(9\frac{1}{2})(4)(4\frac{1}{2})= 36$

V = 36 in³

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2.5 x 10^6 in standard form

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2.500.000 is the answer but I think simplifying it would make it 2.5?

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kaheart [24]

Answer:

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Step-by-step explanation:

I will just pose x instead of alpha here to make things simpler

$\tan ^2\left(x\right)\left(2\cos ^2\left(x\right)+\sin ^2\left(x\right)-1\right)\\\\$

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2 years ago

XYZ Corporation operates two plants, each of which has a capacity of 100 units per day. Each day, XYZ must ship their product to

Strike441 [17]

9514 1404 393

Answer:

{20, 20, 20, 40} units to {A, B, C, D}
{0, 0, 0, 100}

minimum shipping cost: 3000

Step-by-step explanation:

In general, shipping costs more from Plant 1. The excess costs to ship to customers A, B, C, D are, respectively, (24-18) = 6, (21-16) = 5, (19-19) = 0, (18-10) = 8.

The greatest excess cost is for shipping to customer D from plant 1, so we want to ship as many units as possible to customer D from plant 2.

Shipments from Plant 2 to Customers {A, B, C, D} = {0, 0, 0, 100}.

Then the remaining shipments are fulfilled from Plant 1.

Shipments from Plant 1 to Customers {A, B, C, D} = {20, 20, 20, 40}.

The amount spent on shipping each day is ...

100×10 +20×24 +20×21 +20×19 +40×18

= 20×(50 +24 +21 +19 +36) = 3000 . . . . daily shipping cost

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2 years ago

For each point, identify the axis or quadrant where the point is located.

ser-zykov [4K]

In the point (x, y), if x=0, then the point is on the y axis.
If y=0, the point is on the x axis
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If x is negative (less than 0) and y is positive (greater than 0), the point is in quadrant 2
If both x and y are negative, the point is in quadrant 3
If x is positive and y is negative, the point is in quadrant 4

Taking (-3, 2), since 3 has a - sign before it (and nothing else), it is negative. Since the x value comes first, this means that x is negative. Since it simply states "2" for the y value, it is positive. As x is negative and y is positive, we know that the point is in quadrant 2.

I challenge you to do this on your own - good luck, and feel free to ask with further questions!

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3 years ago

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