Answer:
any number except -20
Step-by-step explanation:
Multiply by -1 to make the k positive. This will alter all the terms which means 20 will become negative. NOTE: When multiplying or dividing by negative numbers, the inequaliy sign flips.
k must be either greater than -20 but not including it or fewer than -20 but not including it; therefore, any number between negative infinity and -21 and -19 and postive infinity
To convert the measurement in feet to inches, multiply it by 12. 6 1/2 feet is equal to 78 inches. The bookshelf bought by Mrs. Aguilar has a width that is 1 inch lesser than the distance between windows. This suggests that the bookshelf will fit in the allotted space.
Answer:
x = 28 cm
Step-by-step explanation:
Given:
Area of link shaded regions = 84 cm²
Required:
The value of x (diameter of the semicircle/length of the rectangle)
Solution:
Diameter of the semicircle = 2r = x
Length of rectangle (L) = 2r = x
Radius of semicircle (r) = ½x
Width of rectangle (W) = radius of semicircle = ½x
Use 3.14 as π
Area of the link shaded regions = area of rectangle - area of semicircle
Thus:
Area of the link shaded regions = (L*W) - (½*πr²)
Plug in the values
84 = (x*½x) - (½*3.14*(½x)²)
84 = x²/2 - (1.57*x²/4)
84 = x²(½ - 1.57/4)
84 = x²(0.5 - 0.3925)
84 = x²(0.1075)
Divide both sides by 0.1075
84/0.1075 = x²
781.4 = x²
√781.4 = x
27.9535329 = x
x = 28 cm
Answer:
270 cubic inches
Step-by-step explanation:
first you multiply 9 times 5 which equals 45 and then you multiply 45 by 6 to get 270. (for volume its length times width times height)
The answer is clearly b makes the most sense
