Answer:
& 
Step-by-step explanation:
You need to find x first in order to find the measure of angle C. To solve for x, we will use the fact that interior angles of a triangle have angle measurements that add up to 180 degrees.
Using this knowledge, we can create an equation where angles A, B, and C add up to equal 180.
Combine like terms on the left side of the equation.
Subtract 6 from both sides of the equation.
Divide both sides of the equation by 3.
Now that you've found the value of x, you can use this value to plug into the expression for angle C.
Therefore, the final answer is:
Answer:
0.128rad/sec
Step-by-step explanation:
Let x represent the between the man and the point on the path
θ = the angle
dx/dt = 4 ft/s
dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight
tan θ = x/20 ft
Cross Multiply
20tan θ = x
dx/dt = 20sec² θ dθ/dt
dθ/dt = 1/20 × cos² θ dx/dt
dθ/dt= 1/20 × cos² θ × 4
dθ/dt = 1/5 × cos² θ
Note : cos θ = 4/5
dθ/dt = 1/5 × (4/5)²
dθ/dt = 16/125
dθ/dt = 0.128rad/sec
Answer:
Relation 1 is a function. Relation 2 is not a function.
Step-by-step explanation:
If the domain is used more than once it is not a function. For example, in Relation 2, -3 was used twice.
Answer:
Step-by-step explanation:
power raised to power, you multiply the exponents
=3^-4=1/3^4=1/81
Answer:
And we can use the normal table and the complement rule we got:
Step-by-step explanation:
For this case we have the following parameters given:
We select a ample size of n=49. And we want to find this probability:
And for this case is a right tail probability and we can use the z score formula given by:
And replacing we got:
And we can use the normal table and the complement rule we got:
