(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.
Answer: D. 41 cm
There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,
a^2+b^2 = (b+1)^2
a^2 + b^2 = b^2 + 2b +1
a^2=2b+1
So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.
b = (a^2 - 1)/2
a=3, b=(3^2-1)/2=4, c=b+1=5
a=5, b=(5^2-1)/2 =12, c = 13
a=7, b=24, c=25
a=9, b=40, c=41
a=11, b=60, c=61
a=13, b=84, c=85
It's good to be able to recognize Pythagorean Triples when we see them.
Otherwise we'd have to work the calculator:
√(9² + 40²) = √1681 = 41
Answer: 1234567901
/100000000000
Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 11 numbers to the right of the decimal point, place the decimal number over 10
∧11
(
100000000000
)
. Next, add the whole number to the left of the decimal.
1234567901
/100000000000
The most likely answer is D) <span>"The date that the check is written is usually a few days before it is cashed. We record when it was cashed and you record when its written".
There is usually a delay between when you write someone a check (and record it in your ledger) and when that person cashes it (when the bank records it). </span>
Answer:
Step-by-step explanation:
Set this up as ratio of vinegar to oil in fraction form:
That's what we're given. If we are looking to find how much oil he needs if he's using 9 ounces of vinegar, then 9 goes on top with the vinegar stuff and x goes on bottom as the unknown amount of oil:
Cross multiply to get
5x = 90 and
x = 18
Which you probably could do without the proportions. If he is using 5 ounces of vinegar and double that amount of oil, then it just makes sense that if he uses 9 ounces of vinegar he will double that amount in oil to use 18 ounces.
Answer:
75.2 degrees Fahrenheit
Step-by-step explanation:
F = StartFraction 9 Over 5 EndFraction C + 32
- Multiply the value of C by StartFraction 9 Over 5 EndFraction before adding 32.
- 24 Degrees Celsius is 75.2 Degrees Fahrenheit.
