The answer is 2 thousands plus 4 hundreths.
The general formula of a pyramid with any base is 1/3 bh where b is the area of the base and h is the height. In this case, the height of the pyramid is said to be twice the height of the prism, h. Hence the area becomes 1/3 b*2h or equal to option A. 2/3 bh
Answer:
-5
Step-by-step explanation:
Moving all terms of the quadratic to one side, we have
.
A quadratic has one real solution when the discriminant is equal to 0. In a quadratic 
, the discriminant is 
.
(The discriminant is more commonly known as 
, but I changed the variable since we already have a 
in the quadratic given.)
In the quadratic above, we have 
, 
, and 
. Plugging this into the formula for the discriminant, we have
.
Using the distributive property to expand and simplifying, the expression becomes
Setting the discriminant equal to 0 gives
.
We can then solve the equation as usual: first, divide by 2 on both sides:
.
Squaring both sides gives
,
and subtracting 5 from both sides, we have
Answer:
2695.04348
Well, I don't want to do ALL of the work but I'll give you an idea of how I got it:
First, ask yourself, "How many times does 23 go into 61?" which is the same thing as 61 divided by 23.
23 times 2 equals 46. I chose this number because 23 times 3 equals 69 and that is too much.
(The first digit is 2)
So 61 minus 46 equals 15. Then you bring down the 9 and divide 159 by 23.
23 times 6 is 138 and the closest you will get. Again, 159 minus 138 equals 21.
(Now the second digit of the answer is 6)
Bring down the 8 to get 218. 218 divided by 23 equals 9 (well, not exactly, but you get what I mean). 23 times 9 equals 207. 218 minus 207 equals 11.
(Don't forget, the third digit in the answer is now 9)
Keep doing this until you get your final answer, which I already gave you at the top to double check. When you reach the last number of 61,986 (which is 6), go into the decimal place and keep on working from there.
The answer to your question is
24
