Answer:
Step-by-step explanation:
k ≤ -3-8 subtract 8 from both sides
k ≤ -11
the solution is the area to the left of a vertical line trough the point x= -11 and includes thhe line
24 hours in a day. 5 x 24 = 120 hours
Answer:
32ft
Step-by-step explanation:
Tan = opp/adj
Tan(65) = n / 15
Tan(65) x 15 = n
n = 32.16 = 32ft
Answer:
The Area of the bicycle wheel=380.182 square inch
Step-by-step explanation:
The formula for calculating the area of a wheel is given by;
A=(πd²)/4
A=Area of the wheel to be calculated
Where π (pie)=3.142,
The wheel size is usually denoted by its diameter (d)
d=diameter of the wheel=22 inches
with the values of π and d given, we can plug them in the formula for calculating Area to determine the area of the bicycle wheel
Substituting the values for π and d in the formula;
A=(πd²)/4=(3.142×22²)/4=380.182 in²
The Area of the bicycle wheel=380.182 in²
Answer:
3/5
Step-by-step explanation:
We need to use the trig identity that cos(2A) = cos²A - sin²A, where A is an angle. In this case, A is ∠ABC. Essentially, we want to find cos∠ABC and sin∠ABC to solve this problem.
Cosine is adjacent ÷ hypotenuse. Here, the adjacent side of ∠ABC is side BC, which is 4 units. The hypotenuse is 2√5. So, cos∠ABC = 4/2√5 = 2/√5.
Sine is opposite ÷ hypotenuse. Here, the opposite side of ∠ABC is side AC, which is 2 units. The hypotenuse is still 2√5. So sin∠ABC = 2/2√5 = 1/√5.
Now, cos²∠ABC = (cos∠ABC)² = (2/√5)² = 4/5.
sin²∠ABC = (sin∠ABC)² = (1/√5)² = 1/5
Then cos(2∠ABC) = 4/5 - 1/5 = 3/5.
