Answer:
6 5/16
Step-by-step explanation:
Hope this helped :)
Answer:
<h2>The total surface area of the box is 224 square inches.</h2>
Step-by-step explanation:
The box pattern is shown in the image attached.
The total surface is the sum of the area of each section of the figure, which is formed by 4 equal rectangles and 2 equal squares. Rectangles have dimensions of 12 inches by 4 inches, and squares have 4 inches per side.
So, the total surface would be
Therefore, the total surface area of the box is 224 square inches.
Answer: 14. x = 16; y = 23
15. x = 9; y = 13
Step-by-step explanation:
14. (4x + 4) = (7x - 44) (alternate exterior angles are congruent)
4x + 4 = 7x - 44
Collect like terms
4x - 7x = -4 - 44
-3x = -48
Divide both sides by -3
x = -48/-3
x = 16
39° + (8y - 43)° = 180° (consecutive exterior angles are supplementary)
39 + 8y - 43 = 180
Add like terms
-4 + 8y = 180
Add 4 to both sides
8y = 180 + 4
8y = 184
Divide both sides by 8
y = 184/8
y = 23
15. (15x - 26)° = (12x + 1)° (alternate exterior angles are congruent)
15x - 26 = 12x + 1
Collect like terms
15x - 12x = 26 + 1
3x = 27
Divide both sides by 3
x = 27/3
x = 9
28° + (12x + 1)° + (4y - 9)° = 180° (sum of interior angles of ∆)
Plug in the value of x
28 + 12(9) + 1 + 4y - 9 = 180
28 + 108 + 1 + 4y - 9 = 180
Add like terms
128 + 4y = 180
Subtract 128 from each side of the equation
4y = 180 - 128
4y = 52
Divide both sides by 4
y = 52/4
y = 13
Both answer and explantion.
4.
cos(120) = -0.87
sin(210) = -0.5
last answer
5.
sin(120) = 0.866 = sqrt3/2
1st answer
Answer: C
Step-by-step explanation:
Nonlinear association
