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netineya [11]
2 years ago
13

12. Find the surface area of each figure to the nearest tenth.

Mathematics
1 answer:
Zolol [24]2 years ago
6 0

Answer:

  12a. 471.2 cm²

  12b. 60 m²

Step-by-step explanation:

Part A.

The surface area of each figure is the sum of the end area and the lateral area.

  <u>cylinder</u>

  S = (2)(πr²) +2πrh = 2πr(r +h)

  S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²

__

  <u>triangular prism</u>

  S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism

  S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²

_____

Part B.

Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.

Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.

The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).

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Hi, join this i am a girl come and see<br>uke-sash-prv​
sammy [17]

cool one

Step-by-step explanation:

4 0
2 years ago
What value of b will cause the system to have an infinite number of solutions? A system of equations. y equals 6 x plus b. negat
Natasha_Volkova [10]

The value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two linear equations:

y = 6x - b ..(1)

\rm -3x + \dfrac{1}{2}y = -3 ..(2)

From the second equation:

\rm -3x + \dfrac{1}{2}y = -3

-6x + y = -6

After rearranging:

y = 6x - 6 ..(3)

On comparing equation (1) and (3)

b = 6

Thus, the value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

8 0
2 years ago
Definition of Variable and Constant with examples!<br>Spam free answers required!​
ra1l [238]

Answer:

\large\boxed{\boxed{\boxed{\mathfrak{variable}}}}

Variable is a symbol that represents a quantity in a mathematical expression, as used in many sciences. Variable (research), a logical set of attributes. Variable star, a type of astronomical star.

\large\boxed{\boxed{\boxed{\mathfrak{constant}}}}

A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in some way. A function, equation, etc., is said to "be constant" (or be a constant function) if it always assumes the same value independent of how its parameters are varied.

6 0
2 years ago
So i need to pick classes for my freshman year next year and i d k if i should take pre algebra or just do algebra. My math grad
ahrayia [7]

Answer:

Step-by-step explanation:

My recommendation is try to find a finals for both pre-algebra or algebra after learning some of the material ahead of time and after taking them, find which one is more comfortable for you

Good luck!

8 0
2 years ago
Which is the graph of an odd monomial function?
malfutka [58]
In order for a function to be odd, we know that f(-x) = -f(x)
Hence, the only graphs that are odd are the cubics.

Now, a monomial is defined as an equation with only one term in it. Since the first two is shifted, they must consist of at least 2 terms.

Hence, the only viable answer is the third graph.
3 0
3 years ago
Read 2 more answers
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