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Svetlanka [38]
3 years ago
12

For a project, you need to make three triangles out of cardboard. Each triangle has a height of 5 inches and a base of 10 inches

. Which equation can you use to solve for the total amount of cardboard you will need?

Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

Answer:

Option 1st is correct

3 \cdot (\frac{1}{2} \cdot  10 \cdot 5)=x

Step-by-step explanation:

Area of the triangle is given by:

A = \frac{1}{2}bh

where,

A is the area of the triangle

b is the base and

h is the height of the triangle.

As per the statement:

For a project, you need to make three triangles out of cardboard.

Each triangle has a height of 5 inches and a base of 10 inches

⇒b = 10 inches and h = 5 inches

\text{Area of each triangle} = \frac{1}{2} \cdot  10 \cdot 5

Since,  you need to make three triangles out of cardboard

⇒\text{Area of 3 triangle}(x) =3 \cdot (\frac{1}{2} \cdot  10 \cdot 5)

Therefore, an equation can you use to solve for the total amount of cardboard you will need is,

3 \cdot (\frac{1}{2} \cdot  10 \cdot 5)=x

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3 years ago
Find value of X? Round answer to nearest tenth.
ohaa [14]

Answer: x = 4.6

Step-by-step explanation:

From the diagram opposite is 4

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@ = 41 degrees.

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From here the one that has opposite and adjacent is TOA which is;

[email protected] = opposite/ adjacent

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6 0
3 years ago
Let the graph of g be a horizontal shrink by a factor of 16 and a reflection in the x-axis, followed by a translation 2 units do
kifflom [539]

The graph of g(x) obtained from the horizontal shrink, reflection and translation of f(x) by a factor of 16, across the x–axis and 2 units downwards is given by the function;

  • g(x) = -(16•x)² - 2

Please see the attached graph of g(x)

<h3>What is a transformation of a function?</h3>

The transformation of the graph of a function is the shrinking, stretching, reflecting or translating of the graph of the function

The given function is f(x) = x²

  • The formula for reflecting a function f(x) across the x–axis to get g(x) is: g(x) = -f(x)

  • The formula for shrinking of a function f(x) horizontally by a factor of 16 is g(x) = f(16•x)

  • To translate the function, f(x), 2 units down gives; g(x) = f(x) - 2

The graph of g(x), which is a horizontal shrink by a factor of 16, a reflection across the x–axis and a vertical shift of 2 units downwards, is obtained from the function, g(x) = -f(16•x) - 2 = -(16•x)² - 2

Therefore;

  • g(x) = -(16•x)² - 2

Please find attached the graph of g(x) created with Sheets

Learn more about the transformation of a function here:

brainly.com/question/27996647

#SPJ1

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