Answer:
2.48
Step-by-step explanation:
The surface area of the triangular prism is: B. 72 sq. ft
<h3>Surface Area of a Triangular Prism</h3>
- The surface area of a triangular prism is given by the formula: SA = bh + (s1+s2+s3)H
- Where, b is the base, h is the height, and s1+s2+s3 is the perimeter of the triangular base, H is the length of the prism.
Thus, given the triangular prism as shown in the diagram attached below, we have the following:
b = 4 ft
h = 3 ft
H = 5 ft
s1 + s2 + s3 = 3 + 4 + 5 = 12 ft
Surface area = 4×3 + (12)5 = 12 + 60 = 72
Therefore, the surface area of the triangular prism is: B. 72 sq. ft
Learn more about the surface area of triangular prism on:
brainly.com/question/16147227
Given:
Angle A = 18.6°
Angle B = 93°
Length of side AB = 646 meters
To find:
the distance across the river, distance between BC
Steps:
Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.
18.6° + 93° + ∠C = 180°
111.6° + ∠C = 180°
∠C = 180° - 111.6°
∠C = 68.4°
Therefore the measure of angle C is 68.4°.
now we can use the law of Sines,


![BC[sin(68.4)] = 646 [sin(18.6)]](https://tex.z-dn.net/?f=BC%5Bsin%2868.4%29%5D%20%3D%20646%20%5Bsin%2818.6%29%5D)



meters
Therefore, the distance across the river is 222 meters.
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For this case we have the following system of two equations with two unknowns:

Adding both equations we have to eliminate the variable "x":

Adding common terms, keeping in mind that different signs are subtracted and the sign of the major is placed:

Answer:

Option A