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solniwko [45]
3 years ago
13

If w = 10 units, x= 5 units, and y= 6 units, what is the surface area of the figure?

Mathematics
1 answer:
qwelly [4]3 years ago
4 0

Answer:

  456.2 units²

Step-by-step explanation:

The area of the square base is ...

  base area = w² = (10 units)² = 100 units²

The lateral area is 4 times the area of one rectangular face:

  lateral area = 4wx = 4(10 units)(5 units) = 200 units²

The area of one triangular face is half the product of its base length (w) and its slant height (h). The latter is found using the Pythagorean theorem:

  h² = y² +(w/2)² = (6 units)² +((10 units)/2)² = 61 units²

  h = √61 units

So, the area of 4 triangles is ...

  area of triangular faces = 4(1/2)wh = 2(10 units)(√61 units) ≈ 156.2 units²

__

Now we have the areas of the parts, so we can add them together to get the total surface area:

  surface area = base area + lateral area + area of triangular faces

  = 100 units² + 200 units² + 156.2 units²

  surface area = 456.2 units²

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3 years ago
-16+5n=-7(-6+8n)+3<br><br> what is the work for this ?? this is the like only one i cant get
uranmaximum [27]
-16 + 5n = -7(-6 + 8n) + 3   Given
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The answer is n = 1. Remember that when you have a number beside two or more numbers in parentheses, you have to distribute, or multiply the number outside the parentheses by each number inside the parentheses.

Hope this helps!
4 0
4 years ago
I need helpp ..
Nadusha1986 [10]

There are 60 cubic units in the provided three-dimensional figure, and the units are mm³, cm³, and m³.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

We have a three-dimensional shape shown in the picture with dimensions.

The total cubic units = 4×3×5 = 60 cubic cm

We can measure the volume with units of mm³, cm³, m³, km³

We can draw a relation between them:

mm³<cm³ <m³< km³

For the first picture, the unit mm³ would be best for measuring the volume.

For the second picture, the unit cm³ would be best for measuring the volume.

For the third picture, the unit m³ would be best for measuring the volume.

Thus, there are 60 cubic units in the provided three-dimensional figure, and the units are mm³, cm³, and m³.

Learn more about the volume here:

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2 years ago
A yogurt shop has vanilla, chocolate, strawberry, blueberry, and raspberry flavors served in small, medium, or large cups.
Hatshy [7]

Answer:

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Step-by-step explanation:

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3 years ago
Mr. Duncan bought a table at a discount if 30% thus saving $42. what was the marked price of the table?​
katovenus [111]

Answer:

$140

Step-by-step explanation:

if 30% of full price = $42 then 100% = 42/0.3 = 140

5 0
3 years ago
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