Answer:
13.73 ft²
or 14 ft² if youre rounding
Step-by-step explanation:
area of circle:
A≈50.27
area of the square:
A = 64
subtract the area of the circle from the area of the square
64 - 50.27
= 13.73 , or 14 if you round it
Answer:
a = -3
Step-by-step explanation:
Solve for a:
2 (a + 5) - 1 = 3
Hint: | Distribute 2 over a + 5.
2 (a + 5) = 2 a + 10:
(2 a + 10) - 1 = 3
Hint: | Group like terms in 2 a - 1 + 10.
Grouping like terms, 2 a - 1 + 10 = 2 a + (10 - 1):
(2 a + (10 - 1)) = 3
Hint: | Evaluate 10 - 1.
10 - 1 = 9:
2 a + 9 = 3
Hint: | Isolate terms with a to the left hand side.
Subtract 9 from both sides:
2 a + (9 - 9) = 3 - 9
Hint: | Look for the difference of two identical terms.
9 - 9 = 0:
2 a = 3 - 9
Hint: | Evaluate 3 - 9.
3 - 9 = -6:
2 a = -6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 a = -6 by 2:
(2 a)/2 = (-6)/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
a = (-6)/2
Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.
The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:
Answer: a = -3
Answer:
x = 4
Explanation:
−2x − 4 + 5x = 8
[ Simplify both sides of the equation ]
−2x − 4 + 5x = 8
−2x + −4 + 5x = 8
(−2x + 5x) + (−4) = 8 (Combine Like Terms)
3x + −4 = 8
3x − 4 = 8
[ Add 4 to both sides ]
3x − 4 + 4 = 8 + 4
3x = 12
[ Divide both sides by 3 ]
3x / 3 = 12 / 3
x = 4
- PNW
Answer:
E. 10 and 10
Step-by-step explanation:
Standard Deviation is the square root of sum of square of the distance of observation from the mean.
where, 
is mean of the distribution.
Here, since standard deviation is the ratio of the distance from the mean and sample size. So for decreasing the standard deviation we should keep numerator constant and increasing the denominator.
This can be only possible in option (E).
Hence, only Option (E) is correct.
