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Korolek [52]
4 years ago
7

A triangular prism has a Surface Area of 48.735 km2. The base of the prism is a triangle with a height of 3 and an unknown base.

The distance between the bases of the prism is 12 km. Find the measure of the base of the triangle.
Mathematics
1 answer:
xeze [42]4 years ago
4 0
The surface area of the prism is equal to the summed up area of the faces of the triangular prism.

The bases of the prism would be triangles with an unknown base, b, and height of 3. The area of the base is calculated through the equation,
          A = bh/2
where b is base and h is height. Substituting the values,
       A = b(3)/2

Since there are two bases, the contribution of the triangles for the surface area is,
   2A = 3b

Next we calculate for the area of the triangle sides with length equal to b (same as the base of the triangle). 
   Area = b(12 km)
There are 3 sides such that the total area becomes,
   Area = 36b

Hence, the surface area is,
    48.735 km² = 3b + (36b)

The value of b from the equation is 1.25 km

<em>ANSWER: 1.25 km</em>
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<h3>Answer:   x = 9</h3>

=========================================

The diagram shows:

  • base = 13
  • height = x

Recall that the area of a parallelogram is equal to the base times height

area = base*height

We're told that the area is 117 square units, so that means 13x = 117.

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Note how:

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son4ous [18]
The correct question is
<span>Sakura speaks 150 words per minute on average in hungarian, and 190 words per minute on average in polish. she once gave cooking instructions in hungarian, followed by cleaning instructions in polish. sakura spent 5 minutes total giving both instructions, and spoke 270 more words in polish than in hungarian. how long did sakura speak in hungarian, and how long did she speak in polish?</span>

Let
x------> total words spoken by sakura in hungarian------> 150 words /minute
y------>  total words spoken by sakura in polish-----------> 190 words /minute

we know that
(x/150)+(y/190)=5--------- > equation 1
y=270 +x-------------------- > equation 2
<span>substituting 2 in 1
(x/150)+(270+x)/190=5

</span><span>multiplying all the expression by (150)*(190)
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x=300 ------------- > total words spoken by sakura in hungarian
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y=570 ----------- > total words spoken by sakura in polish

the question is <span>how long did sakura speak in hungarian, and how long did she speak in polish?
</span>
y=570 words in polish-------------------> 190 words /minute

if 190 words-----------------------------> 1 minute
   570 words-------------------------- X
X=570/190=3 minutes
In polish Sakura spoke 3 minutes

x=300 words in hungarian-------------------> 150 words /minute

if 150 words-----------------------------> 1 minute
   300 words-------------------------- X
X=300/150=2 minutes

In hungarian Sakura spoke 2 minutes
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