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VARVARA [1.3K]
2 years ago
7

What is the surface area of this right rectangular prism?

Mathematics
1 answer:
tiny-mole [99]2 years ago
7 0

Answer:

32 yd^2

Step-by-step explanation:

Ignore rounded approximations (i.e. 2.66, 1.33). For all calculations, use fractions and EXACT values.

This prism has 6 surfaces:

  1. Front: 3 x 2.66 = 8
  2. Back: 3 x 2.66 = 8
  3. Top: 3 x 1.33 = 4
  4. Bottom: 3 x 1.33 = 4
  5. Side: 1.33 x 2.66 = 4
  6. Side: 1.33 x 2.66 = 4

Total SA: 8(2) + 4(4) = <u>32 yd^2</u>

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NASA launched another space probe, Voyager 2 on August 20, 1977. Voyager 2 is a bit slower than Voyager 1 only traveling 15.4 km
slava [35]

Using proportions, it is found that it will take Voyager 2 82,900 years from its location to travel to the second closest star.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, the Voyager 2 travels 15.4 km/s. In kilometers per year, considering that one hour has 3600 seconds, the measure is given by:

15.4 x 365 x 24 x 3600 = 485,654,400 km/year.

The distance to Proxima Centauri in km is given by:

d = |1.93 x 10^10 km - 4.24 x 9.5 x 10^12 km| = 4.02607 x 10^13 km.

Hence the time in years is given by:

t = d/v =  4.02607 x 10^13/485,654,400 = 82,900.

It will take Voyager 2 82,900 years from its location to travel to the second closest star.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

6 0
2 years ago
At a certain time of day, a tree that is x meters tall casts a shadow that is x−46x−46 meters long. if the distance from the top
Alexus [3.1K]
By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem

The height, x, of the tree is 70 meters.
5 0
3 years ago
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph te
MAXImum [283]

Answer:

  C.  <em>c</em> is less than zero

Step-by-step explanation:

The parent radical function y=x^(1/n) has its point of inflection at the origin. The graph shows that point of inflection has been translated left and down.

<h3>Function transformation</h3>

The transformation of the parent function y=x^(1/n) into the function ...

  f(x) = a(x +k)^(1/n) +c

represents the following transformations:

  • vertical scaling by a factor of 'a'
  • left shift by k units
  • up shift by c units

<h3>Application</h3>

The location of the inflection point at (-3, -4) indicates it has been shifted left 3 units, and down 4 units. In the transformed function equation, this means ...

  • k = 3
  • c = -4

The graph says the value of c is less than zero.

__

<em>Additional comment</em>

Apparently, the value of 'a' is 2, and the value of n is 3. The equation of the graph seems to be ...

  f(x) = 2(x +3)^(1/3) -4

8 0
2 years ago
What’s the answer I need to do it
Anastasy [175]

Answer:

m = -1/2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

8 0
4 years ago
A) Find the lowest common multiple (LCM) of 36 and 48
dezoksy [38]
144 is the lowest hoped this helped
8 0
3 years ago
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