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Assoli18 [71]
3 years ago
10

What is the surface area of this triangular prism

Mathematics
1 answer:
const2013 [10]3 years ago
6 0
The perimeter of the triangular end is 12 m, so the total rectangular area is
.. (12 m)*(8 m) = 96 m^2

There are two triangles with base 3 m and height 4 m, so their total area is
.. (3 m)*(4 m) = 12 m^2

The surface area of the figure is the sum of these 
.. 96 m^2 +12 m^2 = 108 m^2
You might be interested in
What is a positive angle less than 360 degrees that is conterminal with -289 degrees
wel

Answer:

The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

  • When a terminal of an angle moves anticlockwise, then it makes a positive angle with the positive part of the x-axis
  • When a terminal of an angle moves clockwise, then it makes a negative angle with the positive part of the x-axis
  • To find the positive angle which has the same terminal of a negative angle add the measure of the negative angle by 360°

Let us solve the question

∵ The measure of the angle is -289°

→ Add its measure by 360° to find the positive angle that is conterminal

   with it

∵ The measure of the positive angle = -289° + 360°

∴ The measure of the positive angle = 71°

The positive angle that less than 360° and is conterminal with -289° is 71°

4 0
3 years ago
How to find these key features to sketch a rough graph
Ivahew [28]
There’s no question
8 0
3 years ago
What is the simplified form of 5 square root x^4 • 5 square root x^4
laiz [17]

Answer: C

Step-by-step explanation:

You can write each term into a fraction.

\sqrt[5]{x^4} becomes x^4^/^5

When you multiply 2 terms with the same base, you add the exponents.

x^4^/^5*x^4^/^5=x^4^/^5^+^4^/^5=x^8^/^5

x^8^/^5 is also the same as x\sqrt[5]{x^3}

You get this because \sqrt[5]{x^8} =\sqrt[5]{x*x*x*x*x*x*x*x}. When you pull out 5 os x, you are left with x³ on the inside.

8 0
3 years ago
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 58.
Yanka [14]

Answer: 0.025

Step-by-step explanation:

Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between the interval [48.0 minutes, 58.0 minutes].

The probability density function :-

f(x)=\dfrac{1}{58-48}=\dfrac{1}{10}

Now, the probability that a given class period runs between 50.25 and 50.5 minutes is given by :-

\int^{50.5}_{50.25}\ f(x)\ dx\\\\=\int^{50.5}_{50.25}\ \dfrac{1}{10}\ dx\\\\=\dfrac{1}{10}|x|^{50.5}_{50.25}\\\\=\dfrac{1}{10}\ [50.5-50.25]=\dfrac{1}{10}\times(0.25)=0.025

Hence, the probability that a given class period runs between 50.25 and 50.5 minutes =0.025

Similarly , the probability of selecting a class that runs between 50.25 and 50.5 minutes = 0.025

5 0
3 years ago
Drag and drop the reasons for the steps into each box correctly to solve the equation
Viktor [21]

Yes your answers are correct :)

Step by step review:

First line has product of 5 and (x+2) so product property is good.

2nd line has division so quotient property is good.

3rd line has equal log with base 2 so equality property is good.

4th line has multiplication so that is also good

5th line has distribution of 5 and 7 so distributive property is good.

Your answer is correct.

7 0
3 years ago
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