Guided Practice
1 answer:
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Answer:
The linear velocity in miles per our is 14789400 mph .
Step-by-step explanation:
Given as :
The radius of wheel = 50 inches
So, the diameter of wheel = 2 × radius = 2×50 = 100 inches
Or, Diameter = 100 × 1.57 miles = 157 miles
The number of revolution per minutes = 500 RPM
or, The number of revolution per hours = 500 × 60 = 30,000 RPH
Now, Circumference of wheel = ×diameter
Or, C = 3.14 × 157 = 492.98 miles
So, Distance cover by wheel = C × RPH × Time in hour
or, D = 492.98 × 30,000 × Time in hour
And Velocity =
or, V =
or, V = 14789400 miles per hour
Hence The linear velocity in miles per our is 14789400 mph . Answer
Answer:
The Proof is given below.
Step-by-step explanation:
Given:
P is the center of Circle
∠ONE ≅ ∠TEN
To Prove:
∠5 ≅ ∠6
Proof:
Exterior Angle Theorem:
Exterior Angle Property of a Triangle states that measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles.
STATEMENT REASON
1. So In ΔONE,
1. Exterior Angle Property of a Triangle.
2. Similarly In ΔTEN,
2. Exterior Angle Property of a Triangle.
3. But , ∠ONE ≅ ∠TEN 3. Given
4. And P is the center of circle So
4.radius of same circle
5. ΔPEN is an Isosceles triangle,
∴ ∠ 1 ≅ ∠ 2 5. Isosceles triangle property
6. ∴ ∠5 ≅ ∠6 6. From 3 and 5 Transitive Property.........Proved