Answer:
62
Step-by-step explanation:
surface area of a rectangular prism = 2lw + 2lh + 2wh
Where l = length, w = width and h = height
The box has the following dimensions
length = 5 in
width = 3 in
height 2 in
Using these dimensions, we plug in the values into the formula
![SA=2(5*3)+2(5*2)+2(3*2)\\5*3=15\\15*2=30\\5*2=10\\10*2=20\\3*2=6\\6*2=12\\SA=30+20+12\\30+20+12=62](https://tex.z-dn.net/?f=SA%3D2%285%2A3%29%2B2%285%2A2%29%2B2%283%2A2%29%5C%5C5%2A3%3D15%5C%5C15%2A2%3D30%5C%5C5%2A2%3D10%5C%5C10%2A2%3D20%5C%5C3%2A2%3D6%5C%5C6%2A2%3D12%5C%5CSA%3D30%2B20%2B12%5C%5C30%2B20%2B12%3D62)
Hence, the surface area = 62
Answer:
12.60
Step-by-step explanation:
Start off by the total which is 18. To find the percentage off you will have to make the 30% into a decimal, so simply move it two spaces to the left. Now you have .30. Multiply the decimal, .30, and the full amount, 18. Your equation now should be (.30)*(18). Your answer will be 5.40. 5.40 is what is off of the shirt from the original price, so subtract 5.40 from 18. Your equation now is (18-5.40) which is 12.60.
Answer: 81/100
Step-by-step explanation:
I don't guarantee you I am right but..
first, solve for the exponents after substituting the numbers in
3/5 x 3/5 is 9/25
since b's exponent is negative, you change the fraction into its reciprocal and then do it with the exponent but positive
2/3^-3 to 3/2^3 and 3/2 x 3/2 is 9/4
then you mutiply both numbers to get 9/4 x 9/25 is 81/100
Answer: Third option.
Step-by-step explanation:
By definition, Rational Functions have the following form:
![f(x)=\frac{P(x)}{Q(x)}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7BP%28x%29%7D%7BQ%28x%29%7D)
Where
and
are polynomials.
The Restrictions of the Domain of Rational Functions are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.
In this case, you have the following Rational Function:
![f(x)=\frac{x+5}{x-2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7Bx%2B5%7D%7Bx-2%7D)
The Restrictions of the Domain can be found applying this steps:
- Make the denominator equal to 0:
![x-2=0](https://tex.z-dn.net/?f=x-2%3D0)
- Solve for "x":
![x=2](https://tex.z-dn.net/?f=x%3D2)
Then, the Domain of this function includes all "x" not equal to 2.
Therefore, the answer is:
Answer:
Third answer (she is incorrect because she should have squared each leg length and then found the sum.)
Step-by-step explanation:
The pythagorean theorem states that a²+b²=c². This is not equivalent to (a+b)²=c² (due to FOIL expansion, this expands to a²+2ab+b²=c²).
This matches with the third answer, as she has to do a² and b≥ separately.
**This question involves expanding perfect squares, which you may wish to revise. I'm always happy to help!