Answer:
9*√3
Step-by-step explanation:
The exact value of Sin60 = √3/2
Sin(60) = opposite side/ hypotenuse
hypotenuse = 18
√3/2 = x / hypotenuse
√3 / 2 = x / 18 multiply by 18
18 √3 /2 = x divide by 2
9 √3 = x
Answer:
D.
Step-by-step explanation:
First, you have to transform your numbers into proper fractions:
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5
Therefore your arithmetic sequence is 2, 8/5, 6/5, ...
In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the <span>following </span>term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5
Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
where an is the number you are looking for, a is the first term, n is the term you are looking for and d is the distance.
Hence,
a₂₅ = 2 + (25-1)(-2/5) = 2 - 24·2/5 = 2 - 48/5 = (10-48)/5 = -38/5
Answer:
(4,-2)
Step-by-step explanation:
Start off by doing everything in the parenthesis which is everyone of them so 2x-1=-2 , your problem then should look like this:
-2(3x2-5x+2) carry the 2 over so multiply the 2 to everything so
(-6x-4+10x+2) add like numbers
10x+-6=4
-4+2=-2
(4,-2)
18 degrees F because
it dropped 12 degrees=10 hours
x degrees=15 hours
x is what you want to find out which is how many degrees it would drop in 15 hours.
12x15 then divided by 10 is 18.
