Answer:
The algebraic expression for 
Step-by-step explanation:
Let θ =
use the properties of inverse trigonometric functions 
In a right angled triangle, the cosine of an angle is

Use this expression
to find what are the sides of the right triangle.

Next find what is the expression for the opposite side, for this use the Pythagorean theorem and the values above

We said that
, so now we can use the definition of tangent
and the right triangle that we defined to find the algebraic expression for


Answer:
35
Step-by-step explanation:
Top box equals 10
(5x2)
Middle box equals 15
(5-2+2) x 3
Bottom box equals 10
(5x2)
1 yard = 36 inches
2 yards = 72 inches
1 feet = 12 inches
3 feet = 36 inches
72 - 36 = 36 inches
she still needs 36 inches
The statement that represents the given binomial above is option 2. Both points are positive if and only if they are in the first quadrant. It is true that the coordinate point is in the first quadrant, and both points are positive and it's true that both points are positive if the coordinate point is in the first quadrant. Hope this answer helps.
The incorrect step in Talia's solution is the step 4 which is "step 4 is incorrect because it shows and incorrect substitution of slope value into the point-slope form". The correct steps are as follow:
step 1: choose a point on the line which is (2,5)
step 2: choose another point on the line which is (1,3)
Step 3: determine the slope which is m = rise / run. The line runs 1 unit and rises 2 units so the slope is m = 2/1
step 4: substitute point on the line (2,5) and the slope of the line such as:
y-y1 = m (x-x1)
y-5 = 2 (x-2)
This is the correct steps.