Juan walks a circular path with a radius of 280 yards at the local park. How far does she walk? Use 3.14 for pi.
1 answer:
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Answer:
Step-by-step explanation:
<u>Verify each statement</u>
case A)
The statement is True
we know that
The measure of angle A is equal to the angle marked by corresponding angles
case B) ∠B and the angle marked are alternate exterior angles
The statement is False
Because, ∠B and the angle marked are corresponding angles
case C) because it is a vertical angle to the angle marked
The statement is True
we know that
------> by vertical angles
case D) ∠B and ∠C are supplementary angles
The statement is False
we know that
---> the sum is less than
case E)
The statement is True
we know that
and remember that
so
substitute
Answer:
Decrease in temperature = 4.6714°C
Step-by-step explanation:
We know that the formula fro deflection is:
δ = PL/AE + LαΔT
As deflection is equal to zero in this case, the formula becomes
ΔT = -P/αAE -------------- equation (1)
Now,
we see that only vertical force acting is weight
W = mg = 100*9.81
W = 981N = ∑ where 1N = 1kgm/s²
Now,
for horizontal forces
As we know that, Sum of all horizontal forces = 0
P - μN = 0
P - μW = 0
P = μW
P = 0.6 * 981
P = 588.8N or 589N
Now we need to calculate the area
area = width * thickness = 20 * 3
area = 60 mm²
Now by substituting all these values in equation 1, wee get
ΔT = -P/αAE = - 588.6/(20*10⁻⁶*60*10⁻⁶*105*10⁹)
ΔT = - 4.6714°C (negative sign indicates decrease)
Answer:
The expression showing how many more meters Mathieu ran than Edgar ran during that time is .
Step-by-step explanation:
Edgar ran 'e' meters per second, and Mathieu ran 'm' meters per second. The boys ran for 't' seconds.
The expression describes how many more meters Mathieu ran than Edgar ran during that time.
We can also use the expression represent the same quantity.
We know that,
Distance covered by Edgar = te
Distance covered by Mathieu = tm
Difference in distance
The expression showing how many more meters Mathieu ran than Edgar ran during that time is .