Let the angle of elevation be θ.
We have a right angled triangle with an opposite of 300.5 ft. (306 - 5.5) and an adjacent of 400 ft. Recalling SOH CAH TOA, tanθ = O/A.
tan(θ) = 300.5/400.
θ = tan^-1(300.5/400).
θ = 36.9°.
V of w sphere =
r³
Multiply by 3 on either sides to get rid of the fraction.
3V = 4
r³
Now divide either sides by 4
to isolate r³
r³
4
and 4
cancels out
= r³
Take the cube root to isolate r.
the cube root cancels the cube
= r
Answer: probability = 0.506
Step-by-step explanation:
The data we have is:
Total people: 205 + 160 + 40 = 405
prefer cats: 205
prefer dogs: 160
neither: 40
The probability that a person chosen at random prefers cats is equal to the number of people that prefer cats divided the total number of people:
p = 205/405 = 0.506
in percent form, this is 50.6%
Answer:
Step-by-step explanation:
It converts dash energy into dash energy
Answer:
k=-3
x=63
Step-by-step explanation:
The equation for direct variation is
y = kx where k is the constant of variation
We know x and y we can solve for k
-87 = k*29
Divide each side by 29
-87/29 = k
-3 =k
y= -3x
Now we know y = -189, we can find x
-189 = -3x
Divide by -3
-189/-3 = -3x/-3
63 =x