The length of the ramp calculated using Pythagoras is approximately 350 cm
From the diagram attached :
- Height of ramp = opposite = 225 cm
- Angle of inclination, θ = 40°
Using Pythagoras ; the length of the ramp can calculated as follows :
Sin θ = opposite / hypotenus
Sin 40° = 225 / hypotenus
Cross multiply
Hypotenus × 0.6427876 = 225
Divide both sides by 0.6427876 to isolate the hypotenus
Hypotenus = 225 / 0.6427876
Hypotenus = 350.03786 cm
Therefore, the length of the ramp which is the hypotenus is approximately 350 cm
Learn more : brainly.com/question/10040532
Answer:
75°
Step-by-step explanation:
∠DGF = 2* ∠DEF
10x + 50 = 2(9x - 15)
10x + 50 = 18x - 30
50 = 18x - 30 - 10x
50 = 8x - 30
8x - 30 = 50
8x = 50+30
8x = 80
x = 80/8
x = 10
∠DEF = 9x - 15
= 9*10 -15
= 90 - 15
= 75°
The answer should be b=111
Step-by-step explanation:
Hello there, because you did not attached the photo or the information of the diameter of the circle, so I will solve this type of question under a general form
Let's assume d is the diameter of the circle
=> the perimeter of the circle is: dπ
=> the perimeter of the half arc of a circle
= 1/2 perimeter of the circle
= 1/2dπ
Hence, the perimeter of the stage shaped like a semi-circle:
= the perimeter of the half arc of a circle + the diameter
= 1/2dπ + d
= 3/2dπ
Just substitute d into the above expression, you will find out the answer.
Hope it will find you well.
Answer:
d≈12.49mm
Step-by-step explanation: