Step-by-step explanation:
there is no diagram so I'm just going to guess this however
sin x = 6/9
sin x = 2/3
sin x = 0.67
x = sin inverse of 0.67
x = 42.1
Answer:
22 minutes
Step-by-step explanation:
First you take away the original amount away from the remaining amount.
$25 - $22.36 = $2.64
Then you take that number and divide it by the cents per minute.
$2.64 ÷ 12 = 0.22
Then that's your answer!
Her call lasted 22 minutes.
Answer:
x = 15
Step-by-step explanation:
given that y varies directly with x
mathematically we can express this as
y = k x , where k is a constant
step 1: find k
given x = 3 and y = 21
y = k x
21 = k (3)
k = 7
hence the equation becomes
y = 7 x
when y = 105,
105 = 7x
x = 105 / 7 = 15
Answer:
(a)
(b) L reaches its maximum value when θ = 0 because cos²(0) = 1
Step-by-step explanation:
Lambert's Law is given by:
(1)
(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

(2)
By entering equation (2) into equation (1) we have the equation in terms of the sine function:
(b) When θ = 0, we have:
We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...
Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.
I hope it helps you!
A. Surveying the students about their favorite type of math problem.
and
C. Sampling water for contaminants