The answer is v=5x^2-100x+500. First, since we are finding the volume of a square you already know that the equation for a square is volume= length*width*height. Because 5 inches was cut off from each side, that means that each side is now 10 inches shorter than it originally was. So, then you substitute the values into the formula. So the length is x-10 and the width is also x-10 and the height is 5in. Then you write the formula like this (x-10)(x-10)5. Second, you substitute the values into the formula. Since there are 2 x's that would make x^2 and add that to 5 that would make 5x^2. Then you multiply -10*10=-100. Finally, you multiply -10*-10-5=500. Then you add them all together to get 5x^2-100x+500
Answer:
There are a few possible answers so read explanation, but the one I will put up here is:
20.83
Step-by-step explanation:
First you have to find how much 100 cups of coffee costs in store.
To do this you will multiply 2.50 by 100 and get 250. So now we know 100 cups of coffee in store costs $250 whereas 100 cups at home is $12.
To find how many times greater the price in store is compared to the at home brew, you have to divide 250 by 12 and get 20.8333333....
We don't stop there though, because it asks us to approximate. I am not sure what it would like us to round to, but here are some possible approximations:
- 20.83
- 20.8
- 21
Any of those re reasonable approximations, you choose whichever you think the question wants, or whatever your teacher asks for.
Hope this helps
The answer is 35/8. 5*7 is 35 and 35/8 cannot be reduced more
If the waitress works x hours in the evening, according to the problem, she works x-1.75 hours in the afternoon. We have given that she works 5.125 hours in the afternoon, which is x-1.75=5.125. BY solving this equation, we find unknown x, which is equal to 6.87 hours and it is the answer to the problem.
Answer:
D. sin m∠C = 2 square root of 5 all over 5
Step-by-step explanation:
The triangle ABC is a right angled triangle. The angle ∠C is where we are asked to find. The side AB measures 6 , AC measures 3 and the side BC measures 3√5.
The longest side of a right angle triangle is the hypotenuse, that means the side with length 3√5 is the hypotenuse.
Therefore side BC is the hypotenuse side and we are asked to find the angle C. AB is the opposite side while AC is the adjacent side.
Using
sin C = opposite/hypotenuse = 6/3√5 = 2/√5 = 2√5/5
cos C = adjacent/hypotenuse = 3/3√5 = 1/√5