Answer:
Option A) m∠RNS=27°
Step-by-step explanation:
We know that
∠UNR = 180°. This tells us that the Sum of the enclosed angles should equal 180°, by trigonometry. So the enclosed angles are:
∠RNS = 
∠SNT= 
∠TNU= 
Now let us add all the angles and solve for the value of
as follow:


Now lets plug in the value into the expression for angle
∠RNS to find the angle as:

Thus Option A. is the correct answer.
Answer: 11.1 m
Step-by-step explanation:
This can be solved by the Pythagorean theorem where;
c² = a² + b²
c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.
a is the height
c is the length
32² = 30² + b²
b² = 32² - 30²
b² = 1,024 - 900
b² = 124
b = √124
b = 11.1 m
\left[x \right] = \left[ -18\right][x]=[−18]equation of a line that is parallel
Answer:
-5x³ -5x² -9x - 4
Step-by-step explanation:
(-6x³-4x²-8)+(x³-x²-9x+4)
Add the like terms.
-6x³ and x³ are like terms. -6x³ + x³ = -5x³
-4x² and -x² are like terms. -4x² - x² = -5x²
-8 and 4 are like terms. -8 + 4 = -4
-6x³-4x²-8 +x³-x²-9x+4 = -5x³ -5x² -9x - 4