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3 years ago

Help me! Read the question carefully

Mathematics

1 answer:

prohojiy [21]3 years ago

5 0

Answer:

21mm

Step-by-step explanation:

The formula for solving the area of a rhombus is : $\frac{1}{2}xy$ , where x and y are two intersecting diagonals.

In this case, we are given both values, thankfully. 6 and 7 are to be replaced with x & y. Now, the rest you have to do is simple math.

$(6 * 7) / 2 = 21$

The area of the rhombus is 21mm.

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Find the work (in ft-lb) required to pump all the water out of a cylinder that has a circular base of radius 7 ft and height 200

Virty [35]

Answer:

work done is equal to 384279168 lb-ft

Step-by-step explanation:

The cylinder has a circular base of 7 ft.

The height of the cylinder is 200 ft

The weight density of water in the cylinder is 62.4 lb/ft^3

First, we find the volume of the water in the cylinder by finding the volume of this cylinder occupied by the water.

The volume of a cylinder is given as $\pi r^{2} h$

where, r is the radius,

and h is the height of the cylinder.

the volume of the cylinder = $3.142* 7^{2}*200$ = 30791.6 ft^3

Since the weight density of water is 62.4 lb/ft^3, then, the weight of the water within the cylinder will be...

weight of water = 62.4 x 30791.6 = 1921395.84 lb

We know that the whole weight of the water will have to be pumped out over the height of cylindrical container. Also, we know that the work that will be done in moving this weight of water over this height will be the product of the weight of water, and the height over which it is pumped. Therefore...

The work done in pumping the water out of the container will be

==> (weight of water) x (height of cylinder) = 1921395.84 x 200

==> work done is equal to 384279168 lb-ft

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4 years ago

A cuboid measures 6cm by 3cm by 2cm Draw a net of the cuboid

Tresset [83]

Answer:

See attachment for cube

Step-by-step explanation:

Given

$Length = 6cm$

$Width = 3cm$

$Height = 2cm$

Required

The net of the cuboid

A cuboid has 6 faces.

The dimension of these faces are:

Length and Width; Length and Height;

Width and Height; Width and Height;

This means that the faces will have the following dimensions:

6cm by 3cm; 6cm by 2cm

3cm by 2cm; 3cm by 2 cm

Taking into account the above measurements and dimensions, you draw 6 faces, then join similar sides lengths.

See attachment for net of the cuboid

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3 years ago

What is the least possible sum of the digits displaying the time on a 12 hour digital clock?

True [87]

So if you think about it, this problem isn't that hard. So say it's 12:59, the total sum of those digits would be 71. If it was 1:11, then the sum would be 3. If it was 3:47, the sum would be 50. So now, you have to find the time where it would be the least possible sum. that time would be 1:00 because 1+0+0=1

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4 years ago

Is y=4/6-2x a linear expression

weqwewe [10]

Step-by-step explanation:

No it is an equation (equal sign)

specifically y = mx + b form

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4 years ago

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