Answer:
The true statement is C because between -4 and 14 is 10
Step-by-step explanation:
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The valid exclusion of the algebraic fraction is (c) a =0, b =0, a =2b
<h3>How to determine the valid exclusion?</h3>
The expression is given as:
8ab^2x/4a^2b - 8ab^2
Set the denominator to 0
4a^2b - 8ab^2 = 0
Divide through by 4ab
a - 2b = 0
Add 2b to both sides
a = 2b
Hence, the valid exclusion of the algebraic fraction is (c) a =0, b =0, a =2b
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The table shows a constant of proportionality the equation would be x*2=y
To get the square root of imperfect square we can use the formula , which is usually accurate to about two decimal places,
√X =√S +(X-S)2√S
Where, X = the number you want the square roof of, and S is the closest square you know to x.
For example 75 is an imperfect square
Thus, X=75 and thus the nearest number S = 81, this ,means √81 =9.
Putting this into the formula;
√75= 9+(75-81)/2/2(9)
= 9 + -6/18
= 9-0.33333 = 8.667
= 8.667, thus the square root of 75 is 8.66
Answer:
23 in^2
Step-by-step explanation:
We need to find the area of the baking sheet and the area of the 12 cookies. Then we subtract the area of the cookies from the area of the baking sheet.
Baking sheet:
length = 4 cookies = 4 * 3 in. = 12 in.
width = 3 cookies = 3 * 3 in. = 9 in.
area = length * width = 12 in. * 9 in. = 108 in.^2
Cookies:
diameter = 3 in.
radius = diameter/2 = 3 in./2 = 1.5 in.
area of 1 cookie = (pi)r^2
area of 12 cookies = 12(pi)r^2 = 12(3.14159)(1.5 cm)^2 = 84.823 in.^2
area of unused space =
= area of baking sheet area of 12 cookies
= 108 in.^2 - 84.823 in.^2
= 23.177 in.^2
Answer: 23 in^2
