Let the arc is ABC with angle 324 degree, to find the length of that arc follow the steps;
The circumference of the circle E is :C = 2 r π
C = 2 * 40 π = 80 π cm.
Also 324° / 360° = 0.9m Arc (ABC ) = 0.9 * 80 π = 72 π cm
There is also formula for calculating the measure of an arc:
m Arc = r π α / 180°
m Arc = 40 π * 324 / 180
= 40π * 1.8 = 72 π
Now we have to find the exact length ( π ≈ 3.14 )
m Arc ( ABC ) = 72 * 3.14 = 226.08 cm
Answer: m∠7=130°
Step-by-step explanation:
If two parallel lines are cut by another line (transversal), each one will have four angles surrounding the intersection.
By definition, the adjacent angles of each parallel line, are supplementary, this means that they add up 180°.
Then, if m∠2=50°, then m∠3 is:
m∠3
°
By definition, the angles that are in the same relative position are know as corresponding angles and they are congruent.
Therefore:
m∠3=m∠7
m∠7=130°
Answer:
6
Step-by-step explanation:
Complete question:
The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation of city D is 1 over 2 of the elevation of city C. Part A: Write an expression to represent the elevation, in feet, of city D. Part B: Solve the expression and explain why the answer is negative or positive.
Answer:
-8 feets
Step-by-step explanation:
Given the following :
Elevation of city A = 80 feets below sea level
Elevation of city C = 16 feets below sea level
Distances expressed below sea level are usually expressed as negative. The sea level itself represents a reference point or 0 whereby distances below are expressed as negative a d distances above classed as positive.
Elevation of city D = 1/2(elevation of city C)
= 1/2× 16 = 8 feets below sea level
Hence, - 8 feets (since it is below sea level.
Answer: -4 8/11, -4.79, 4.709, 4 7/9
Step-by-step explanation: