Answer:
425
Step-by-step explanation:
225/24 then multiply the answer by 40
Answer:
56.6
Step-by-step explanation:
Since BK is a bisector of ABC at B,
this implies that:
ABC = ABK + KBC
ABC = 28.3 + 28.3
ABC= 56.6
Answer:
y ≥ 8
Explanation:
Note that if f(x) is transformed into f(x + a) - b
The original functions is shifted a units to the left and b units downward.
Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.
From the given, g(x) is the transformation of f(x) with

f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.
Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.
y ≥ 11 - 3
The answer is y ≥ 8
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:
Equation: w = (1/8) c
c at w = 44 minutes is 352 minutes
Explanation:
We are given that:
1- Time taken to cycle from library to mall is c minutes
2- Time taken to walk from library to mall is w minutes
3- Time taken to walk = 1/8 time taken to cylcle
Therefore:
w = (1/8) c
Now, we want to find c if w = 44 minutes
All we do is substitute with the w in the equation and get c as follows:
w = (1/8) c
44 = (1/8) c
c = 44*8 = 352 minutes
Hope this helps :)