<h3>
Answer: Approximately 13 square units (choice B)</h3>
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Explanation:
The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB
angle AOB = 360 - 215 = 145
angle AOB = 145 degrees
We'll use this later.
Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.
The area of the circle is
A = pi*r^2
A = pi*(sqrt(10))^2
A = 10pi
This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB
area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)
area of sector AOB = (145/360)*10pi
area of sector AOB = 145pi/36
area of sector AOB = 145*3.14/36
area of sector AOB = 12.647 approximately
area of sector AOB = 13 square units approximately, after rounding to the nearest whole number
Answer:
k^2/25
Step-by-step explanation:
(1/5k)^2
(k/5)^2
k^2/5^2
k^2/25
Answer: The discounted price is $14.72 for the two medium cheese pizzas.
17.95 × 0.18 (18%) = 3.231
17.95 - 3.231 = 14.719
If you have 20/10, that equals 2. Then if you move the decimal place over 1 place then you have 2. If you divide 2 again by 10, then move the decimal place over in another place, it is equaling 0.2.
Answer:
There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches
Reject 
level of significance
Step-by-step explanation:
From the question we are told that:
Sample size 1 
Spacing 1 
Mean 1 
Standard deviation 1 
Sample size 2 
Spacing 2 
Mean 1 
Standard deviation 1
Generally the hypothesis is mathematically given as
Null 
Alternative 
Generally the equation for pooled estimate is mathematically given by
Therefore
Generally the equation for test statistics is mathematically given by
Therefore From table
Therefore
There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches
Reject level of significance
