Answer:
a. -1.7
b. -1.2
c. -0.5
d. 0.6
e. 1.1
Step-by-step explanation:
Answer:
The length of the arc is 4.6375 miles
Step-by-step explanation:
Firstly, find the perimeter of the circle by doing 2*pi*r, you'll get about 18.55 miles.
2*pi*r ---> 2*pi*3 ---> 6*pi ---> ≈ 18.55 miles
Next, plug in x/360, where 360 is the total arc of a circle, and x is the arc you need.
x/360 ---> 90/360 ---> = 0.25
Lastly multiply the two numbers.
18.55 * 0.25 ---> 4.6375 miles is your answer.
<em>(you may need to round your answer if needed)</em>
Answer:
This question is straightforward if you find different triangles in the figure itself.
Property of a triangle: All internal angles of a triangle must add up to 180°
Take a look at Triangle DBH.
<u>Method A</u>
Angle BHD = 180°-33°-46° (sum of angles in a triangle)
= 101°
Property of angles on a straight line: All angles on a straight line must add up to 180°
Angle x = 180°-101° (supplementary angles)
= 79°
<u>Method B</u>
Take a look at Triangle DBH.
Property of exterior angle (in this case, angle x): An exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
Angle x = 33°+46°
= 79°
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