Answer:
A = 121 pi in^2
Step-by-step explanation:
The circumference is given by
C = 2 * pi*r
22 pi = 2 * pi *r
Divide each side by 2 pi
22 pi / (2 pi) = 2 pi r / (2pi)
11 = r
Now find the area
A = pi r^2
A = pi (11)^2
A = 121 pi in^2
Answer:
|F net| = 20.22 N
θ ≈ 19.8°
Step-by-step explanation:
F net = 15N i + 8cos(60°)N i + 8sin(60°)N j
= 15N i + 8×½N i + 8×√3/2N j
= 15N i + 4N i + 4√3N j
= 19N i + 4√3N j
|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N
tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°
Answer:
She can determine that while there is an association between the variables, there is no correlation, and she cannot determine causation.
Step-by-step explanation:
Since there is an arch shape to her graph, we know that as one variable changes, the other changes in the same manner. This means there is an association between the variables.
However, since the graph is not linear, there is no correlation between the variables. Since there is no correlation, we cannot determine causation.
Mark me as brainiest
Answer:
Angle 4 as it is across from 1 and is equal in size
Step-by-step explanation:
Answer:
![\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}](https://tex.z-dn.net/?f=%5Ctext%7Bc%29%20%7D%5Csqrt%5B4%5D%7B64%7D%3D2%5Csqrt%5B4%5D%7B4%7D)
Step-by-step explanation:
![\text{a) }64\qquad\text{an integer; not a surd}\\\\\text{b) }\sqrt[6]{64}=2\qquad\text{an integer; not a surd}\\\\\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}\qquad\textbf{a surd}\\\\\text{d) }\sqrt[3]{64}=4\qquad\text{an integer; not a surd}](https://tex.z-dn.net/?f=%5Ctext%7Ba%29%20%7D64%5Cqquad%5Ctext%7Ban%20integer%3B%20not%20a%20surd%7D%5C%5C%5C%5C%5Ctext%7Bb%29%20%7D%5Csqrt%5B6%5D%7B64%7D%3D2%5Cqquad%5Ctext%7Ban%20integer%3B%20not%20a%20surd%7D%5C%5C%5C%5C%5Ctext%7Bc%29%20%7D%5Csqrt%5B4%5D%7B64%7D%3D2%5Csqrt%5B4%5D%7B4%7D%5Cqquad%5Ctextbf%7Ba%20surd%7D%5C%5C%5C%5C%5Ctext%7Bd%29%20%7D%5Csqrt%5B3%5D%7B64%7D%3D4%5Cqquad%5Ctext%7Ban%20integer%3B%20not%20a%20surd%7D)
