Answer/Step-by-step explanation:
Based on the inscribed angle theorem, any inscribed angle = ½ of its intercepted arc
Thus:
✔️Inscribed angle = 57°
Intercepted arc would be: 2*57 = 114°
✔️Intercepted arc would be: 123°
Inscribed angle = ½(123) = 61.5°
✔️Intercepted arc would be: 46°
Inscribed angle = ½(46) = 23°
✔️Inscribed angle = 69°
Intercepted arc would be: 2*69 = 138°
✔️Intercepted arc would be: 155°
Inscribed angle = ½(155) = 77.5°
Answer:
5√3 miles per hour
Step-by-step explanation:
Throughout their journey, the component of velocity of rowboat B to the east is the same as that of rowboat A:
(10 mph)(cos(π/3)) = 5 mph
Meanwhile, the component of velocity of rowboat B to the north is ...
(10 mph)(sin(π/3)) = 5√3 mph
Since rowboat A is always traveling in a direction that is at right angles to the direction between the boats, it contributes nothing to their relative speed. Since rowboat B is always directly north of rowboat A, its speed to the north is their relative speed.
The distance between the rowboats is increasing at 5√3 mph ≈ 8.66 mph.
Answer:
-1.99, 1.99
Step-by-step explanation:
Use a table to find the z-scores.
For the first z-score:
P(x < z) = 0.0233
z = -1.99
For the second z-score:
P(x > z) = 0.0233
P(x < z) = 1 − 0.0233 = 0.9767
z = 1.99
Answer:
In the equation f(x) = 3* + 10x is the 3 squared?
If it is supposed to be squared then the answer is f(-9) = -81
If its not supposed to be squared then the answer is f(-9) = -87
Step-by-step explanation: