9514 1404 393
Explanation:
∠MRQ ≅ ∠NQR . . . . given
QR ≅ RQ . . . . reflexive property
∠PQR ≅ ∠PRQ . . . . property of isosceles triangle PQR
ΔQNR ≅ Δ RMQ . . . . ASA postulate
The simplified form of the expression ( 6 1/5 - 3 3/4 ) as a mixed fraction .
<h3>What is the simplified form of the expression?</h3>
Given the data in the question;
6 1/5 - 3 3/4
First we convert the mixed fraction into an improper fraction.
6 1/5 = ( 6×5 + 1 )/5 = ( 30 + 1 )/5 = 31/5
3 3/4 = ( 3×4 + 3)/4 = ( 12 + 3 )/4 = 15/4
Hence;
31/5 - 15/4
We re-write both terms with common denominator.
( 31/5 × 4/4 ) - ( 15/4 × 5/5 )
124/20 - 75/20
Now, we can combine the denominators over common denominator.
( 124 - 75 )/20
( 124 - 75 )/20
49/20
Next we convert to a mixed fraction
We can get 20 from 49, 2 times with a remainder of 9
Hence
The simplified form of the expression ( 6 1/5 - 3 3/4 ) as a mixed fraction .
Learn more about fractions here: brainly.com/question/10708469
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Answer:
The linear speed of the bike is 19.242 miles per hour.
Step-by-step explanation:
If sliding between the bottom of the wheel and ground can be neglected, the motion of the wheel can be well described by rolling, which is a superposition of coplanar pure rotation and translation, The speed of the bike occurs at the center of the wheel, where resulting instantaneous motion is pure translation parallel to ground orientation. The magnitude of the speed of bike (), measured in inches per second, is:
Where:
- Radius, measured in inches.
- Angular speed, measured in radians per second.
Now, the angular speed must be converted from revolutions per minute into radians per second:
The speed of the bike is: ( and )
Lastly, the outcome is converted into miles per hour:
The linear speed of the bike is 19.242 miles per hour.
Blue tiles= 9/20
Letter b= 10/20- 1/2
Either blue or b= 19/20
Answer:
x = y/2w - 1/2
Step-by-step explanation: