Given : A = 24 sq feet
A = 0.5 base x height
base = x , height = x+2
A = 0.5 x(x+2) = 24 sq feet
1) 0.5 x(x+2) = 24 (A)
2) x^2 + 2x - 48 = 0 (D)
To check the rest un-wrap the bracket:
x^2 + (x+2)^2 = 24
x^2 + x^2 + 4 + 4x = 24
2x^2 + 4x - 20 = 0
x^2 + 2x - 10= 0 (NO)
Likewise:
x^2 + (x+2)^2 = 100
x^2 + x^2 +4 + 4x = 100
2x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
3) x^2 + 2x - 48 = 0 (F)
To sum up: that's what apply:
1) 0.5 x(x+2) = 24 (A)
2) x^2 + 2x - 48 = 0 (D)
3) x^2 + 2x - 48 = 0 (F)
Answer: The multiplicative inverse is 1/2 the addition inverse is -2
Step-by-step explanation:
Since the inverse of multiplication is division, use a fraction. The inverse of addition is subtraction.
The lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.
<h3>What is a confidence interval?</h3>
It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
We have:
A survey of 504 citizens found that 378 of them favor a new bill introduced by the city.
Sample proportion = p = 378/504 = 0.75
q = 1 - p = 1 - 0.75 = 0.25


SD = 0.01928
For 95% confidence interval Z value = 1.96
Lower limit = 0.75 - 1.96(0.01928)
= 0.712
Thus, the lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.
Learn more about the confidence interval here:
brainly.com/question/6654139
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Answer:
Part 1) 
Part 2) 
L = 220 ft2 ; S = 280.5 ft2
Step-by-step explanation:
<u><em>The correct question is </em></u>
Find the lateral area and surface area of a rectangular prism. The base is a square 5.5 ft by 5.5 ft, and the height is 10 ft
Part 1) Find the lateral area
The lateral area of a rectangular prism is equal to

where
P is the perimeter of the base
h is the height of the prism
we have
---> the perimeter of a square
---> is given
substitute

Part 2) Find the surface area
The surface area of a rectangular prism is equal to

where
LA is the lateral area
B is the area of the base
we have

----> area of a square
substitute

290
Because 2*100= 200
and 9 is 9 more than 0