Answer:
The ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.
Step-by-step explanation:
Let the Area of smaller watch face be 
Also Let the Area of Larger watch face be 
Also Let the radius of smaller watch face be 
Also Let the radius of Larger watch face be 
Now given:
We need to find the ratio of the radius of the smaller watch face to the radius of the larger watch face.
Solution:
Since the watch face is in circular form.
Then we can say that;
Area of the circle is equal 'π' times square of the radius 'r'.
framing in equation form we get;
So we get;
Substituting the value we get;
Now 'π' from numerator and denominator gets cancelled.
Now Taking square roots on both side we get;
Hence the ratio of the radius of the smaller watch face to the radius of the larger watch face is 4:5.
A power of 10 is as many number 10s as indicated by exponent multiplied together shown in a long form a power if 10 is the number 1 followed by zeros example:10^6 is written 1,000,000
The two lines in this system of equations are parallel
Step-by-step explanation:
Let us revise the relation between 2 lines
- If the system of linear equations has one solution, then the two line are intersected
- If the system of linear equations has no solution, then the two line are parallel
- If the system of linear equations has many solutions, then the two line are coincide (over each other)
∵ The system of equation is
3x - 6y = -12 ⇒ (1)
x - 2y = 10 ⇒ (2)
To solve the system using the substitution method, find x in terms of y in equation (2)
∵ x - 2y = 10
- Add 2y to both sides
∴ x = 2y + 10 ⇒ (3)
Substitute x in equation (1) by equation (3)
∵ 3(2y + 10) - 6y = -12
- Simplify the left hand side
∴ 6y + 30 - 6y = -12
- Add like terms in the left hand side
∴ 30 = -12
∴ The left hand side ≠ the right hand side
∴ There is no solution for the system of equations
∴ The system of equations represents two parallel lines
The two lines in this system of equations are parallel
Learn more:
You can learn more about the equations of parallel lines in brainly.com/question/8628615
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Answer:
Answer is option b)
<em>Answer is </em><em>given below with explanations</em><em>. </em>
Step-by-step explanation:
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