Given the function f(x)=2xf(x)=2x, evaluate f(3)f(3).

2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.

Dmitrij [34]

Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = 596.25 Slant Height^2 = 24.4182308941 
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * 24.4182308941) + 81
Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = 520.5281560938 Large Pyramid LATERAL Area = 439.5281560938 

**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity. The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

3 0

3 years ago

Select the correct answer from each drop-down menu. A system of equations and its solution are given system A x-y=7 -3x+9y=-39 s

galina1969 [7]

Answer:

Step-by-step explanation:

x-y=7

-3x+9y=-39

Divide the second equation by 3

-x +3y = -13

Add this to the first equation

x-y=7

-x +3y = -13

----------------------

0x +2y = -6

Divide by 2

2y/2 = -6/2

y = -3

Now find x

x-y = 7

x -(-3) = 7

x+3 = 7

Subtract 3 from each side

x = 4

(4,-3)

Or by substitution

x-y=7

solve for x

x = 7+y

-3x+9y=-39

Substitute y+7 in for x

-3(7+y) +9y = -39

Distribute

-21 -3y +9y = -39

Combine like terms

-21 +6y = -39

Add 21 to each side

6y = -18

4 0

3 years ago

One million people have equal chances of being called by telephone from a broadcasting show. Determine the probability of one pa

Softa [21]

One out of one million

7 0

3 years ago

Read 2 more answers

The graph below shows the prices of different numbers of boots at a store: A graph is shown. The values on the x axis are 0, 2,

kobusy [5.1K]

Answer:

b=12.50p

Step-by-step explanation:

Given :

x y

0 0

2 25

4 50

6 75

8 100

10 125

To Find: Which equation can be used to determine p, the cost of b boots?

Solution :

Using point slope form Find the equation of line of the given coordinates

Let $(x_{1} , y_{1})=(0,0)$

Let $(x_{2} , y_{2})=(2,25)$

So, formula : $y-y_{1} =\frac{y_{2}- y_{1}}{x_{2}- x_{1}} *(x-x_{1})$

$y-0 =\frac{25-0}{2-0} *(x-0)$

$y= 12.50x$

Now we are given that cost of b boots is p

Since we are given that x axis is Number of Boots and y in price

So in the equation put x = b and y = p

So, equation : b=12.50p

Hence Option 4 is correct

5 0

3 years ago

Read 2 more answers

14 maids share five granola bars equally. Draw to show how much each person gets. Share the amounts that one person gets. Write

Alecsey [184]

first you divide14 and 5 and you get 2.8 then you turn 2.8 into 2 8/10

2 8/10 is your answer

4 0

3 years ago