Here is the complete question.
![Consider \ circle \ Y \ with \ radius \ 3 m \ and \ central \ angle \ XYZ \ measuring \ 70°. \\ \\ What \ is \ the \ approximate \ length \ of \ minor \ arc \ XZ?\\ \\ Round \ to \ the \ nearest \ tenth \ of \ a \ meter. \\ 1.8 meters \\ 3.7 \ meters \\ 15.2\ meters \\ 18.8 \ meters](https://tex.z-dn.net/?f=Consider%20%5C%20%20circle%20%5C%20%20Y%20%5C%20with%20%20%5C%20radius%20%5C%20%203%20m%20%5C%20and%20%20%5C%20central%20%5C%20%20angle%20%5C%20%20XYZ%20%5C%20%20measuring%20%5C%20%2070%C2%B0.%20%5C%5C%20%5C%5C%20What%20%5C%20%20is%20%5C%20%20the%20%5C%20approximate%20%20%5C%20length%20%5C%20of%20%20%5C%20minor%20%5C%20%20arc%20%5C%20%20XZ%3F%5C%5C%20%5C%5C%20%20Round%20%20%5C%20to%20%5C%20%20the%20%5C%20%20nearest%20%20%5C%20tenth%20%5C%20of%20%5C%20%20a%20%5C%20meter.%20%5C%5C%20%201.8%20meters%20%5C%5C%203.7%20%5C%20%20meters%20%5C%5C%20%2015.2%5C%20%20meters%20%5C%5C%2018.8%20%5C%20%20%20%20meters)
Answer:
3.7 meters
Step-by-step explanation:
From the given information:
The radius is 3m
The central angle XYZ = 70°
To calculate the circumference of the circle:
C = 2 π r
C = 2 × 3.142 × 3
C = 18.852 m
Let's recall that:
The circumference length define a central angle of 360°
The approximate length of minor arc XZ can be determined as follow:
Suppose the ≅ length of minor arc XZ = Y
By applying proportion;
![\dfrac{18.852}{360} = \dfrac{Y}{70}](https://tex.z-dn.net/?f=%5Cdfrac%7B18.852%7D%7B360%7D%20%3D%20%5Cdfrac%7BY%7D%7B70%7D)
Y(360) = 18.852 × 70
Y = 1319.64/360
Y = 3.66
Y ≅ 3.7 m
Answer:
6,000 or 6 hundredths
Step-by-step explanation:
a) 4k^2 + k – 5) + (7k^2 + 2k + 6)
11k^2 +3k +1
Choice A