Answer:
x = 8
Step-by-step explanation:
If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees
As we can see, we have two sets of similar right triangles
The value x faces the right angle and that makes it the hypotenuse
Also, the side measure 4 is the adjacent side to the angle 60
The trigonometric identity that relates the hypotenuse and the adjacent is the cosine
it is the ratio of the adjacent to the hypotenuse
Mathematically;
cos 60 = 4/x
x = 4/cos 60
x = 8
Answer:
x = theta = 0°
Step-by-step explanation:
Given the trigonometry function
Tan²x/2-2 cos x = 1
Tan²x-4cosx = 2 ... 1
From trigonometry identity
Sec²x = tan²x+1
tan²x = sec²x-1 ... 2
Substituting 2 into 1, we have:
sec²x-1 -4cosx = 2
Note that secx = 1/cosx
1/cos²x - 1 - 4cosx = 2
Let cosx. = P
1/P² - 1 - 4P = 2
1-P²-4P³ = 2P²
4P³+2P²+P²-1 = 0
4P³+3P² = 1
P²(4P+3) = 1
P² = 1 and 4P+3 = 1
P = ±1 and P = -3/4
Since cosx = P
If P = 1
Cosx = 1
x = arccos1
x = 0°
If x = -1
cosx = -1
x = arccos(-1)
x = 180°
Since our angle must be between 0 and 1 therefore x = 0°
Answer:
Step-by-step explanation:
From the given information:
6 cars pass on the road per minute. This implies that per minute, we will have:
6/60 passes = 0.1 car passing the road per second
Thus, for 5 sec; we have:
5 × 0.1 = 0.5
Let assume X signifies to be a random variable which denote the no of cars in the next 5 minutes and which follows a Poisson distribution.
i.e.
However, the possibility of collision supposes the deer requires 2 seconds to cross the road can be computed as follows:
Suppose Y denote the arbitrary variable that addresses the no. of cars passing the road in 2 secs, then;
Answer:
2600+0.04s≥2800
Step-by-step explanation:
Sales are represented by the variable s, since she earns 4% or sales. The constant is 2600 because she will always earn than amount