Answer:
43.0°
Step-by-step explanation:
cos∅=adj/hyp
cos∅=60/82
∅=cos-1 60/82
∅=cos-1 0.731707317073
∅=42.97028393174°
Round: 43.0°
Answer:
The system of equations is:
x + y = 15
xy = 15
Step-by-step explanation:
solve the first for y and substitute in the second:
y = 15-x
x(15-x) = 15
15x - x� = 15
15x - x� - 15 = 0
-x� + 15x - 15 = 0
x� - 15x + 15 = 0
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
65 miles per hour means that for each hour, it goes 65 miles
65 miles*2 hours= 130 miles
Final answer: 130 miles
Answer: Ratio of black horses to all horses = 59/62
Step-by-step explanation:
Total number of horses = 62
Total number of white horses = 3
Assuming that the rest horses are black. That means the total number of black horses would be 62-3 =59. So there are 59 black horses and there are 3 white horses.
Ratio of black horses to all horses will be the total number of black horses / the total number of horses.
Ratio of black horses to all horses
= 59/62 or 59:62
It can also be expressed in decimals which will become
0.952
