I DESPERATELY NEED YOUR HELP!! A cat gets stuck on the roof. If the latter is 12 feet long and must be placed 7 feet away from t
2 answers:
Answer:
your answer is 9.7 feet
Step-by-step explanation:
you apply Pythagorean theorem since you are looking for height you can subsitute x for a or b and since 12 is the largest number this will be your c which is your hypotneuse and 7 will be subsituted as a or b depending on what letter you used as your x value
is equal too 49 +b^2 =144 you then subtract 49 on both sides to isolate your x (b) and this gets you 95 and then you find the square root of 95 which is 9.7
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Where:
It is the area of the base
h: It is the height
So:
The volume of the prism is:
Now, the volume of the cubes is:
Thus, we divide and find the number of cubes to fill the prism:
ANswer:
n = 2.5
ANSWER: 32 five-dollar bills
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EXPLANATION:
Let x be number of $5 bills
Let y be number of $10 bills
Since we have total of 38 bills, we must have the sum of x and y be 38
x + y = 38 (I)
Since the total amount deposited is $220, we must have the sum of 5x and 10y be 220 (x and y are just the "number of" their respective bills, so we multiply them by their value to get the total value):
5x + 10y = 220 (II)
System of equations:
Divide both sides of equation (II) by 5 so our numbers become smaller
Rearrange (I) to solve for y so that we can substitute into (II)
Substituting this into equation (II) for the y:
We have 32 five-dollar bills
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If we want to finish off the question, use y = 38 - x to figure out number of $10 bills
32 five-dollar bills and 6 ten-dollar bills