Answer:
B. m∠B = 118°, a = 17, c = 18
Step-by-step explanation:
The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.
We can verify angle B is ...
∠B = 180° -30° -32° = 118°
By the law of sines, ...
a/sin(A) = b/sin(B)
Multiplying by sin(A), we get ...
a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855
a ≈ 17.0 . . . units . . . . . matches choice B
__
If you like, you can also verify side c:
c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512
c ≈ 18.0 . . . units
The answer for this is 4.
Answer:
Step-by-step explanation:
The figure shows a right triangle.
To calculate the measure of the angle A, you can use the inverse trigonometric function arctangent:
Identify the angle 
, the opposite side and the adjacent side:
Substitute into .
The measure of the angle A is:
Rounded to the nerarest hundreth:
<u>Given</u>:
Given that the model of the house.
The house is made up of two composite figures triangle and rectangle.
The two sides of the triangle are 6x - 4 units each.
The length of the rectangle is 14x + 13.
The width of the rectangle is 12x + 3.
We need to determine the perimeter of the house.
<u>Perimeter:</u>
The perimeter of the house can be determined by adding all the sides of the house.
Thus, we have;
Simplifying the terms, we get;
Adding the like terms, we have;
Thus, the perimeter of the house is 50x + 11 units.
Hence, Option d is the correct answer.
