Let x be the shortest shelf. The other shelves measures x + 2, x + 4, and x + 6. These lengths should add up to 5 ft or 60 inches
x + x + 2 + x + 4 + x + 6 = 5
The value of x is 12. Therefore, the shelves are 12, 14, 16, and 18 inches long. The longest shelf is x + 6. Thus, the answer is letter C.
Answer:
C. (8, 2)
Step-by-step explanation:
To find which point is not on the graph, find which set of coordinates makes the equation incorrect.
When plugged into the equation, the point (8, 2) makes it incorrect:
y = 10 + x
2 = 10 + 8
2 = 18
2
18
The equation is incorrect because 2 is not equal to 18.
So, the point that is not on the graph is C. (8, 2)
Answer:
-2x^2-5x+16
Step-by-step explanation:
Remove parenthesis:
-10x^2+9+8x^2-5x+7
Combine like terms:
-10x^2+8x^2-5x+9+7
= -2x^2-5x+9+7
=-2x^2-5x+16
Answer:
a = √11 and b = 6
Step-by-step explanation:
Refer to attached picture for reference
for an right triangle with angle θ
we are given
cos θ = 5/6 = length of adjacent side / length of hypotenuse
hence
adjacent length = 5 units
hypotenuse length = 6 units
the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:
hypotenuse ² = adjacent ² + opposite² (rearrange)
opposite ² = hypotenuse ² - adjacent ²
opposite ² = 6² - 5²
opposite = √ (6²-5²) = √11
sin θ = opposite length / hypotenuse (substitute values above)
sin θ = √11 / 6
hence a = √11 and b = 6
24.15
41.4 divided by 12 is 3.45
Multiply that by 7 to get your answer