Answer:
The central angle of the arc is 340°
Step-by-step explanation:
The formula for calculating the area of an arc = theta/360° × 2πr
Note that circumference of the circle = 2πr
The area of an arc = theta/360° × circumference of the circle
Given length of the arc = 17/3
Circumference of the circle = 2πr = 6
On substitution;
17/3 = theta/360 × 6
17/3 = theta/60
Cross multiplying;
3theta = 17×60
theta = 17×60/3
theta = 17×20
theta = 340°
Answer:
∠x = 16°
Step-by-step explanation:
∠x = 180° - (180° - 16°) = 16°
First draw a right triangle using the lighthouse as reference. Draw a dot (lighthouse) draw a line downward (south) with 2.2 km measurement. Next, draw a line to the right of the lighthouse (16.8 km)
The two legs are 2.2 km and 16.8 km. To complete the statement, we need to solve for the hypotenuse of the right triangle.
Using the Pythagorean Theorem:
Assign a = 2.2 km
b = 16.8 km
so,
c^2 = a^2 + b^2
2.2^2 + 16.8^2 = c^2
Therefore, the value of c is 16.94 km.
Answer:
B
Step-by-step explanation:
Since r and s are parallel lines, then
The angle adjacent to 1 is corresponding to 158 and are congruent, thus
adjacent angle to 1 = 158°
1 and 158° are adjacent and supplementary, so
∠ 1 + 158° = 180° ( subtract 158° from both sides )
∠ 1 = 22° → B
Answer: The correct answer is Choice C 29.3%.
To find the percent change, we place the amount of change over the original amount.
The change is: 26450 - 20450 = 6000
Now, we can write our fraction and change it to a percent.
6000 / 20450 x 100 = 29.3%
