Answer:
73
Step-by-step explanation:
Answer:
option 3, 45
Step-by-step explanation:
3x - 9° + 30° + 24° = 180° (angle sum property of a triangle)
3x - 9° + 54° = 180°
3x + 45° = 180°
3x = 180° - 45°
3x = 135°
x = 135/3
x = 45°
therefore, option 3 is the correct option
Answer:
See explanation
Step-by-step explanation:
(4)
Using the sine ratio in the right triangle
sinΘ = 
= 
, thus
Θ = 
() ≈ 51.1°
(5)
Using the tangent ratio in the right triangle
tanΘ = 
= 
, thus
Θ = 
() ≈ 38.7°
The base of its triangular face of the triangular prism is found as 17.7 cm.
<h3>What is defined as the triangular prism?</h3>
- A polyhedron with two triangular bases as well as three rectangular sides is known as a triangular prism.
- It is a three-dimensional shape with three side faces but also two base faces that are connected by the edges.
The formula for the volume of triangular prism is;
Volume = base area x length
The base area of the triangular base.
The area of the triangle = 1/2 base×height
The given values are-
- volume = 2,354. 1 cubic centimeters.
- length = 19 cm
- height = 14 cm.
Thus, volume = base area x length
volume = 1/2 base × height × length
base = 2v/(height × length)
Put the values;
base = 2×2,354.1/(14 × 19)
base = 4708.2/(14 × 19)
base = 17.7 cm
Thus, the base of the triangular prism is found as 17.7 cm.
To know more about the triangular prism, here
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