Answer:
The new pyramid has a volume that is half the volume of the original pyramid.
Step-by-step explanation:
The volume of a pyramid is given by the following equation:

In which h is the height, l is the length and w is the width.
Modified volume:
height doubled, length and width cut in half. So

= 0.5V[/tex]
That is
The new pyramid has a volume that is half the volume of the original pyramid.
No, cause for it to be bigger it'd have to be 5/8, 4/8 would = 1/2 so no, it's not
The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio
Term 1: 1000
Term 2: 200
Term 3: 40
From term 1 to term 2, there's a decrease by

From term 2 to term 3, there's a decrease also by

The rule to find the

term in a sequence is

, where

is the first term in the sequence and

is the ratio
So, the formula for the sequence in question is

term =

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.
We can find a partial sum of the sequence using the formula

for -1<r<1
Substituting

and

we have

=

= 1250
Hence, the correct option is option number 1
Answer:

Step-by-step explanation:
A highway engineer wants to compute the change in elevation of a section of road. The horizontal distance of this section of road is 2km and downgrade is 8%
The slope formula is given by

m = 8% = 8/100
run = y = 2km




Verification:
%
Answer: 24
Step-by-step explanation:
The ratio of sandcastles to kites was 3 to 5 so if 15 kites were spotted that meant that the 5 was multiplied by 3 so then we multiply the 3 by 3. Now there are 9 sandcastles and 15 kites so now we add 9 to 15 to figure out how many items were seen in all. Nine added to 15 equals 24 which means that 24 items were seen in total.