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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

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:

#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]

$y = e^{-sin(x)}$

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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:

-24 degrees Celsius

Step-by-step explanation:

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5 0

2 years ago

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Thepotemich [5.8K]

I hope this helps you

3 0

3 years ago