Answer:
x = 8.3.
Step-by-step explanation:
According to solve for the length of x, we need to use SOH CAH TOA.
This means...
Sine: Opposite over Hypotenuse
Cosine: Adjacent over Hypotenuse
Tangent: Opposite over Adjacent
In this case, we are given the angle, the hypotenuse, and we need to solve for the adjacent. This means that we will use cosine, since we have the adjacent and the hypotenuse.
cosine(41) = x / 11
x = (cosine(41)) * 11
x = 0.7547095802 * 11
x = 8.301805382
The question asks us to round to the nearest <em>tenth</em>.
So, your final answer is that x = 8.3.
Hope this helps!
Convert foot to inches:
1 foot = 12 inches
23 feet ⇒ 23 feet × 12 inches/ft = 276 inches
Divide:
276 ÷ 9 = 30 pieces with remainder
Remainder = 276 - (9×30) ⇒ 276 - 270 = 6
ANSWER: There will be 6 inches long remaining in length after cutting the string into 30 pieces equal lenght of 9 inches each.
{1, 2, 4, 5, 7, 7, 8, 9, 9, 10}
Lower Quartile: Q₁ = ¹/₄(n + 1)
Q₁ = ¹/₄(10 + 1)
Q₁ = ¹/₄(11)
Q₁ = 2³/₄
Median: Q₂ = ¹/₂(n + 1)
Q₂ = ¹/₂(10 + 1)
Q₂ = ¹/₂(11)
Q₂ = 5¹/₂
Upper Quartile: Q₃ = ³/₄(n + 1)
Q₃ = ³/₄(10 + 1)
Q₃ = ³/₄(11)
Q₃ = 8¹/₄
Q₁ = 2³/₄
Q₂ = 5¹/₂
Q₃ = 8¹/₄
The answer would be 7.14%
