You just have to cross multiply. 20 x 285 = 5700. 5700 / 95 = 60.
He will run 60km
To solve, substitute the values of x with 2.
(2)^1 - (2) - 1 + 2^0 = 0.
The answer would be a)
Answer:
x≈ 3.2056
Step-by-step explanation:
Set both sides by log. Then, solve for x.
1. 14^(x + 1) = 36
(x + 1)log(14) = log(36)
x + 1 = log(36)/log(14) . . . Divide both sides by log(14)
x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.
x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.
Note that the second problem is similar to the first.
2. 12^(y - 2) = 20
(y - 2)log(12) = log(20)
y - 2 = log(20)/log(12)
y = log(20)/log(12) + 2
y ≈ 3.2056
Answer:
Let AB is the height of the cliff = H and p is the posit ion of the boat.Angle of depression= angle of elevation= 15 degrees therefore angle APB= 15 degrees tan 15=AB=h/1,000 h=(1,000)*tan 15=(1,000)(0.26794919243112)=268.94919243112 meters or
Simply: 268meters..........Ans
Answer:
Step-by-step explanation:
The median is the average of the lengths of the two bases:
5x -20 = (12 + (4x -10))/2
5x -20 = 2x +1
3x = 21 . . . . . add 20-2x
x = 7
Then the lengths are ...
median = 5x -20 = 5·7 -20 = 15
base = 4x -10 = 4·7 -10 = 18
