Answer:
answer
Step-by-step explanation:
step by step explanation
The sector (shaded segment + triangle) makes up 1/3 of the circle (which is evident from the fact that the labeled arc measures 120° and a full circle measures 360°). The circle has radius 96 cm, so its total area is π (96 cm)² = 9216π cm². The area of the sector is then 1/3 • 9216π cm² = 3072π cm².
The triangle is isosceles since two of its legs coincide with the radius of the circle, and the angle between these sides measures 120°, same as the arc it subtends. If b is the length of the third side in the triangle, then by the law of cosines
b² = 2 • (96 cm)² - 2 (96 cm)² cos(120°) ⇒ b = 96√3 cm
Call b the base of this triangle.
The vertex angle is 120°, so the other two angles have measure θ such that
120° + 2θ = 180°
since the interior angles of any triangle sum to 180°. Solve for θ :
2θ = 60°
θ = 30°
Draw an altitude for the triangle that connects the vertex to the base. This cuts the triangle into two smaller right triangles. Let h be the height of all these triangles. Using some trig, we find
tan(30°) = h / (b/2) ⇒ h = 48 cm
Then the area of the triangle is
1/2 bh = 1/2 • (96√3 cm) • (48 cm) = 2304√3 cm²
and the area of the shaded segment is the difference between the area of the sector and the area of the triangle:
3072π cm² - 2304√3 cm² ≈ 5660.3 cm²
Answer:
y = x^(sin(x))
y = e^(SIN(x)*LN(x))
y' = (COS(x)·LN(x) + SIN(x)/x)*e^(SIN(x)*LN(x))
y' = (COS(x)·LN(x) + SIN(x)/x)*x^(SIN(x))
Answer:
Step-by-step explanation:
Answer:
Hence the answer is option c ; poverty and neighborhood conditions
Step-by-step explanation:
From the research, it is well known that both the dependent variable and independent variable will be taken into consideration before arriving at a conclusion.
A dependent variable is the variable that is been studied or measured i.e the results of a scientific research.
An independent variable is a variable that is been altered or controlled for and whose effects are compared to the results of the dependent variable, as such the results of a dependent variable is dependent on the alteration of the parameters of an independent variable.
From the question ; the dependent variable is sample of 707 individuals from a single community while the independent variable ; the number of hours each individual spent watching television during adolescence and early adulthood.
The word confound in statistics implies a variable which has a greater effects on both the dependent and the independent variable.
Hence the answer is option c ; poverty and neighborhood conditions
