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Free_Kalibri [48]
2 years ago
15

A pyramid with a square base is cut by a plane that is parallel to its base and is 2 units from the base. The surface area of th

e smaller pyramid that is cut from the top is half the surface area of the original pyramid. What is the altitude of the original pyramid
Mathematics
1 answer:
icang [17]2 years ago
7 0

Answer:

  6.83 units

Step-by-step explanation:

Let the height of the original pyramid be represented by h. Then the cut off top has a height of (h -2). The scale factor for the area is the square of the scale factor for height, so we have ...

  (height ratio)^2 = 1/2

  ((h -2)/h)^2 = 1/2

  (h -2)√2 = h . . . . . . square root; multiply by h√2

  h(√2 -1) = 2√2 . . . . add 2√2 -h

  h = (2√2)/(√2 -1) ≈ 6.8284 . . . units

The altitude of the original pyramid is about 6.83 units.

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1.32:3 1/7 =(1.4y): 5/6
alina1380 [7]

After solving 1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}  we get y=0.24

Step-by-step explanation:

We need to solve the ratio: 1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6} and find value of y

Solving:

1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}

Converting fractions into decimals

1.32:3.14=(1.4y):0.83

Ratio can be written as:

\frac{1.32}{3.14}=\frac{1.4y}{0.83}

Now cross multiply

1.32*0.83=1.4y*3.14

1.09=4.39y

y=\frac{1.09}{4.39}

y=0.24

So, after solving 1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}  we get y=0.24

Keywords: Ratio

Learn more about Ratios at:

  • brainly.com/question/11280112
  • brainly.com/question/11286417
  • brainly.com/question/4847829

#learnwithBrainly

6 0
3 years ago
What is the average rate of change over the interval (-1, 5)​
MArishka [77]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete as the function is not given. However, the following explanation will guide you.</em>

<em></em>

The average rate of change is calculated using;

A = \frac{f(b) - f(a)}{b - a}

Where

(a,b) = (-1,5)

Take for instance;

The function is:

f(x) = 2x

We have to solve for f(-1) and f(5);

i.e.

f(-1) = 2 * -1  -2

f(5) = 2 * 5 = 10

Substitute -1 for a and 5 for b

A = \frac{f(b) - f(a)}{b - a}

A = \frac{f(5) - f(-1)}{5 - (-1)}

A = \frac{f(5) - f(-1)}{5 +1)}

A = \frac{f(5) - f(-1)}{6}

Substitute values for f(5) and f(-1)

A = \frac{10 - (-2)}{6}

A = \frac{10 +2}{6}

A = \frac{12}{6}

A = 2

<em>Apply this steps in your work</em>

5 0
3 years ago
Find the x-coordinate where the graph of the function f(x) = e(–sinx) has a slope of 0
balandron [24]

y = e^{-sin(x)}

y' = -e^{-sin(x)}(cos(x))

0 = -e^{-sin(x)}(cos(x))

When is cos (x) = 0?  <em>at 90° (aka π/2)</em>

Answer: \frac{\pi}{2}

4 0
3 years ago
Read 2 more answers
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RUDIKE [14]

Answer:

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Step-by-step explanation:

6 x -4 = -24

5 0
2 years ago
Read 2 more answers
I need help
Thepotemich [5.8K]
I hope this helps you

3 0
3 years ago
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