Answer:
Part 1) The exact value of the arc length is 
Part 2) The approximate value of the arc length is 
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference of a circle is equal to

we have

substitute


step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion

step 3
Find the approximate value of the arc length
To find the approximate value, assume

substitute

Answer: The functions values are greater than 0 over the interval.
Step-by-step explanation:
To tell if a function is positive over a given interval, see if it's below the x-axis or if it's under (since the x-axis represents 0).
- If it's below, it's less than zero.
- If it is above, it's greater than zero.
If the interval is above the x-axis, it's positive (greater), and if it's below, it's negative (less).
Answer:
0.63
Step-by-step explanation:
Answer:
8.9 in.
Step-by-step explanation:
Area of triangle = (1/2) b. h
40 = (1/2) x*x
80 = x^2
square root (80) = x
x=> 8.944.... inch
Rounding off you get 8.9 in.
There are 4 quarters in dollars. Keep that in mind.
Since Taylor is spending no more than 17 dollars, she probably only has 17 dollars. We already know that she has 8 dollars in bills, so we can subtract 8 dollars from 17 dollars because we need to find the amount of dollars in quarters.
The answer for that is 9 dollars. Since there are 4 quarters in the dollars, you need to multiply 9 by 4 to find the amount of quarters.