I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2
Answer:
256
Step-by-step explanation:
We are given the series
1, 16, 81, __, 625, 1296
The missing number in the sequence is the fourth term
From the above sequence, we know that
1, 4², 9² , __, 25² , 36²
Difference between first term = 4 - 1 = 3
9 - 4 = 5
x - 9 = 7
x = 9 + 7 = 16
Hence, the fourth term = 16²
= 256
The speed of one car is 'S'. The speed of the other car is (S + 10).
In 5 hours, the first car travels (5S) miles, and the other car travels 5(S + 10) miles.
Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.
500 = (5S) + 5(S + 10)
500 = 5S + 5S + 50
500 = 10S + 50
Subtract 50 from each side:
450 = 10S
Divide each side by 10
S = <u>45</u>
S + 10 = <u>55</u>
Answer:
As the principal, interest rate, and compound periods increase, so does the future value of an investment. It doesn't matter if you are just putting some money into short-term, low rate savings accounts or CDs or long-term, higher return investments, compound interest will work for your benefit if you allow it.
Step-by-step explanation:
#LetsStudy
Answer:
field goal points: 213
extra points: 125
Step-by-step explanation:
Given that a field goal is worth 3 points, then the total points made by field goals are: number of field goals * 3. In the case of Adam, that is: 71*3 = 213 points.
An extra point is worth 1 point, then 125 extra points are equivalent to 125 points.
