Answer:
Length of the given arc AB = 7.33 in.
Step-by-step explanation:
Formula to calculate the arc length is,
Arc length = 
Where θ is the measure of central angle subtended by the arc.
And 'r' = radius of the circle
By substituting the values given in the formula,
Length of arc AB = 
= 
= 
= 7.33 in.
Therefore, length of the given arc AB = 7.33 in.
It would take about 40 seconds for the temperature to reach 70°C and 44 second to reach 74°C.
<h3>
Linear equation</h3>
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the temperature of the metal bar after x seconds, hence:
Since the metal bar has an initial temperature of 30°C, hence:
b = 30, also m = 1°C (increase), The equation becomes:
y = 1(x) + 30 = x + 30
To reach 70°C:
70 = x + 30
x = 40 seconds
To reach 74°C:
74 = x + 30
x = 44 seconds
It would take about 40 seconds for the temperature to reach 70°C and 44 second to reach 74°C.
Find out more on Linear equation at: brainly.com/question/14323743
Answer:
1. 4; 2. 32; 3. 9; 4. 8; 5. 12; 6. 16; 7. 6; 8. 8; 9. 8; 10. 8
Answer:
5 x 10 + 8 = f
Step-by-step explanation:
The reason it is 5 x 10 + 8 = f, is because each bunch has 10 and Ash has five.
In order to find how many flowers he has in 5 bunches is to multiply by how many flowers each bunch has.
Then he gets 8 more flowers which is why it has +8 in the equation.
Answer:
Points -2 and -6 on the number line are the two solutions.
Step-by-step explanation:
Use the definition of absolute value as a starting point
To solve the equation, you need to treat the two cases as above:
The solution x=-2 is consistent with the condition x>=-4, so it is the first and valid solution. Now the second case of the absolute value:
Again, the second solution -6 complies with the requirement that x<-4, so it is valid.
