Ask question

Ask question

All categories

3 years ago

8

A square pyramid and a cube have the same total surface area. The width of the cube is 8 centimeters. The base of the pyramid is

equal to base of the cube. What is the slant height of the square pyramid?

1 answer:

azamat3 years ago

6 0

Answer:

Step-by-step explanation:

surface area of cube = 6×8² = 384 cm²

lateral area of pyramid = surface area of pyramid - base area

= 384 - 8²

= 320 cm²

area of triangular face = 320/4 = 80 = ½(base)(slant height) = ½(8)(slant height)

slant height = 20 cm

You might be interested in

Use the following information for the next two questions.

velikii [3]

did you find the answer?

3 0

4 years ago

Read 2 more answers

Consider the graph of the function f(x) = 10^x

maw [93]

The statement that describes a <em>key</em> feature of g if g(x) = f(x + 4) and f(x) = 10ˣ is "horizontal asymptote of y = 0". (Correct choice: B)

<h3>How to analyze a function resulting from a transformation rule</h3>

According to the statement, we have an <em>original</em> function f(x) = 10ˣ and a transformation rule for <em>horizontal</em> translation g(x) = f(x + 4). By applying this rule, we have that g(x) = 10ˣ ⁺ ⁴, which have these features:

The y-intercept of g(x) is located at (0, 10000).
<em>Horizontal</em> asymptote of g(x) is y = 0.
There are no x-intercepts.

Therefore, the statement that describes a <em>key</em> feature of g if g(x) = f(x + 4) and f(x) = 10ˣ is "horizontal asymptote of y = 0". (Correct choice: B)

To learn more on transformation rules: brainly.com/question/9201867

#SPJ1

5 0

2 years ago

Part A: The average rate of change between the 2nd and 3rd point is Select a Value Part A: The average rate of change between th

Fofino [41]

Answer:

$Rate = 6$

$Rate = 10$

$Rate = 18$

$Rate = 162$

Step-by-step explanation:

Given

See attachment for table

Solving (a): Rate of change between 2nd and 3rd point on A

The rate of change is calculated as:

$Rate = \frac{y_2 - y_1}{x_2 - x_1}$

In table A, the 2nd and 3rd point is:

$(x_1,y_1) =(1,7)$

$(x_2,y_2) =(2,13)$

So, the average rate of change is:

$Rate = \frac{13 - 7}{2 - 1}$

$Rate = \frac{6}{1}$

$Rate = 6$

Solving (b): Rate of change between 3rd and 4th point on A

In table A, the 3rd and 4th point is:

$(x_1,y_1) =(2,13)$

$(x_2,y_2) =(3,23)$

So, the average rate of change is:

$Rate = \frac{23 - 13}{3 - 2}$

$Rate = \frac{10}{1}$

$Rate = 10$

Solving (c): Rate of change between 2nd and 3rd point on B

In table B, the 2nd and 3rd point is:

$(x_1,y_1) =(2,11)$

$(x_2,y_2) =(3,29)$

So, the average rate of change is:

$Rate = \frac{29 - 11}{3 - 2}$

$Rate = \frac{18}{1}$

$Rate = 18$

Solving (d): Rate of change between 4th and 5th point on B

In table B, the 4th and 5th point is:

$(x_1,y_1) =(4,83)$

$(x_2,y_2) =(5,245)$

So, the average rate of change is:

$Rate = \frac{245 - 83}{5 - 4}$

$Rate = \frac{162}{1}$

$Rate = 162$

7 0

3 years ago

Question 9<br> Find the volume.

ArbitrLikvidat [17]

Answer:

volume of the triangular pyramid=1/3×base×height

=1/3×(1/2×6×5)×10

=1/3×15×10

=50 yd³

5 0

3 years ago

Read 2 more answers

Using rounding to estimate the solution to the problem. 538-714 Be sure to give the estimated solution, not the exact solution.

amid [387]

Answer:

1. -370

2. 70

3. 10.75

4. 6700

5. 37.26

Step-by-step explanation:

1. Estimating the solution means round the numbers to the nearest ten, then subtract the rounded numbers.

2. Same thing as #1

3. Using long division, it should be quite easy. If you need more evaluation, comment and I'll answer.

4. To the nearest hundred, you write the closest exact hundred. example: 8334 would be rounded to 8300.

5. To the nearest hundredth, you write the closest exact hundredth. example: 65.734 would be rounded to 65.73

Hope this helped, good luck!

5 0

4 years ago