What is the value of A?
1 answer:
You might be interested in
Answer:
E. 0.759
Step-by-step explanation:
You can take this right triangle to have a base length side LM , height of LN and a hypotenuse of MN
The sine of angle ∠LMN is 0.759, find the value of ∠LMN
∠LMN=49.38°
Find angle ∠LNM
You know sum of angles in a triangle add up to 180°, given that this is a right-triangle, the base angle is 90° hence
∠LNM=180°-(90°+49.38°)
∠LNM= 180°-139.38°=40.62°
Find cos 40.62°
Cos 40.62°=0.7590
The volume of the silo is 461.81 m³
Step-by-step explanation:
A barn silo, excluding the top, is a cylinder
- The silo is 7 m in diameter
- Its height is 12 m
We need to find the volume of the silo
∵ The silo is shaped a cylinder
∵ The volume of a cylinder = base area × height
∵ The base is shaped a circle
∵ Area a circle = π r², where r is the radius of the circle
∴ The volume of the silo = π r² × h
∵ The diameter of the silo = 7 m
∵ The radius of a circle is half the diameter
∴ The radius of the silo = × 7 = 3.5 m
∵ The height of the silo = 12 m
- Substitute the values of r and h in the rule of volume
∴ The volume of the silo = π (3.5)² × 12
∴ The volume of the silo = 147 π = 461.81 m³
The volume of the silo is 461.81 m³
Learn more:
You can learn more about the volume in brainly.com/question/6443737
#LearnwithBrainly