Answer:
Step-by-step explanation:
The given trigonometric equation is 
.
We can either use the Pythagorean identity or the right angle triangle to solve for 
.
According to the Pythagorean identity,
Recall that, the cosine function is an even function, therefore
.
We substitute this value in to the above Pythagorean identity to get;
But we were given that,
, so we choose the negative value.
The correct answer is B
The inside angle for B, which is labeled x is the same as the outside angle of D which is labeled as 72, so we know x = 72.
In a parallelogram two angles next to each other equal 180, so angle A and angle B equal 180.
We know B = 72, so A = 180-72 = 108
Angle A is divided in 2 by angle y, so y = 108/2 = 54
Answers: x = 72
Y = 54
From the solution of the expression, it can be seen that s = 6 when t = 3 while t = 1 when s = 2.
<h3>How do we solve a mathematical expression?</h3>
Given:
(12t) = (6s) ........................ (1)
When t = 3, we can solve for s from the expression in equation (1) by substituting t = 3 into the equation as follows:
12 * 3 = 6s
36 = 6s
s = 36 / 6
s = 6
When s = 2, we can solve for t from the expression in equation (1) by substituting s = 2 into the equation as follows:
12t = 6 * 2
12t = 12
t = 12 / 12
t = 1
Learn more about mathematical expression here: brainly.com/question/12401681.
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Given :
At a restaurant, Brianna and Naomi each order an appetizer for $6.50 and an entree for $9.75.
The sales tax is $0.98 and they leave a tip of $5.85.
To Find :
How much did Brianna and Naomi spend in all.
Solution :
Total expenses, T = Food + tax + tip
T = $( 6.50+9.75) + $0.98 + $5.85
T = $( 16.25 + 0.98 + 5.85 )
T = $23.08
Therefore, total expenses is $23.08 .
Hence, this is the required solution.
