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lorasvet [3.4K]
3 years ago
5

The surface area of a regular triangular pyramid is 197.1 square meter. The slant height is 12. The area of the base is 35.1 squ

are meters. The base length is 9 meters. What is the height of the triangular base?
Mathematics
2 answers:
Gre4nikov [31]3 years ago
6 0

Answer:

h = 7.8

Step-by-step explanation:

A = 1/2*b*h

35.1 = 1/2*9*h . . . . dimensions apply to the base only

35.1*2/9 = h = 7.8 . . . m is the height of the triangular base.

Check:

The base is an equilateral triangle, so the height will be (9 m)*sin(60°) = 7.8 m.

_____

For the question asked, the surface area and slant height are irrelevant.

Leona [35]3 years ago
5 0

Answer:

2

Step-by-step explanation:

(12x9/2)3=162

197.1-162=35.1

(35.1x2/2)=35.1

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alukav5142 [94]

Answer:

$315

Step-by-step explanation:

You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.

I = interest amount

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r = interest rate (decimal form)

t = time

Now we can plug in the values into the equation:

This means that Rachel earned $315 worth of interest in the 15 year period.

8 0
2 years ago
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f(x)=x^2; vertical shrink by a factor of 1/2 and a reflection in the y-axis, followed by a translation 1 unit down​
NeX [460]

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

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Step-by-step explanation:

Lets revise:

1. The vertical shrink

A vertical shrinking is the squeezing of the graph toward the x-axis.

if 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically

shrunk by multiplying each of its y-coordinates by k

2. The reflection

If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

3. Vertical translation

If the function f(x) translated vertically up  by m units, then its image

is g(x) = f(x) + m

If the function f(x) translated vertically down  by m units, then its image

is g(x) = f(x) - m

Now let us solve the problem

∵ f(x) = x²

∵ f(x) shrunk by a factor of \frac{1}{2}

∴ The image of f(x) = \frac{1}{2} x²

∵ The image of f(x) reflected across y-axis

∴ The sign of x will change

∴ The new image of f(x) = \frac{1}{2} (-x)²

∵ The new image of f(x) translated 1 unit down

∴ We will subtract the new image of f(x) by 1

∴ The last image of f(x) is g(x) = \frac{1}{2} (-x)² - 1

<em>V.I.Note:</em>

(-x)² = x² because even exponents reject the negative sign

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down​

is g(x) = \frac{1}{2} x² - 1

The attached graph for more understand

Learn more:

you can learn more about transformation in brainly.com/question/2415963

#LearnwithBrainly

4 0
3 years ago
Find the value of xx and yy in the parallelogram below.
VikaD [51]

Answer: x = 7 and y = -17

Step-by-step explanation:

Opposite sides of parallelograms are equal.

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6 0
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igomit [66]
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= 2w⁹

_____
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6 0
3 years ago
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