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Aliun [14]
3 years ago
10

Find the surface area of the following triangular prism. surface area=_________ ft²

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0
  • Answer:

<em>312 ft²</em>

  • Step-by-step explanation:

<em>3 rectangles </em>

<em>2 triangles</em>

<em>4 yd = 12 ft</em>

<em>A = 4ft×12ft + 8ft×12ft + 10ft×12ft + 2×6ft×8ft/2</em>

<em>= 48ft² + 96ft² + 120ft² + 48ft²</em>

<em>= 312 ft²</em>

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Can someone explain this? :)
Alchen [17]

I'll do part (a) to get you started.

The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.

We also see that b = 123 as well since a = b (they are vertical angles).

Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.

c+123 = 180

c = 180-123

c = 57

-------------------------

To summarize, we have these three angles

a = 123

b = 123

c = 57

6 0
3 years ago
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Which one of these answers is the actual one
Arturiano [62]
The answer is: 3 3/8 sq ft so C
3 0
3 years ago
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The population of a city is growing at an average rate of 3% per year in 1990 the population was 45 000.
Nonamiya [84]
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F=Ir^t, F=final value, I=initial value, r=rate, t=time, in this case:

F=I(1.03)^t  and they just want to know when F=2I so

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ln2=t*ln1.03

t=ln2/(ln1.03)

t≈23.45

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5 0
3 years ago
A mountain is in the shape of a cone whose height is about 3.7 kilometers and whose base radius is about 3 kilometers. Approxima
Lelu [443]

Answer:

34.54 km^{3}

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Height (h) = 3.7 km

Base radius (r) = 3 km

We can calculate the volume of mountain by using following formula,

So, volume of cone = (1/3)πr^{2}h

By putting the value in the formula, we get

= (1/3) π × 3^{2} × 3.7

= 11.1π

= 34.54 km^{3}

Hence, the volume of the mountain is  34.54 km^{3}.

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