Answer:c
Step-by-step explanation:
Prove:
The angle inscribed in a semicircle is a right angle.
The inscribed angle theorem states that the angle θ, inscribed in a circle is half the measure of the central angle of the circle. So, if the given is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle. <span />
B is the answer! Enjoy getting it correct!! :)
Answer:
The correct option is;
Dennis must have stopped for an hour in the middle of this trip
Step-by-step explanation:
The given parameters are;
The distance Dennis covered in 5 hours = 500 km
Dennis's average speed in the first two hours = 150 km/h
Dennis's average speed in the last two hours = 100 km/h
Therefore;
Dennis traveled 150 km/h × 2 h = 300 km in the first two hours
Dennis traveled 100 km/h × 2 h = 200 km in the last two hours
Which gives, Dennis traveled 300 km + 200 km in 2h + 2h = 4h
Therefore, Dennis traveled 500 km in 4 hours and Dennis must have stopped for an hour in the middle of this trip.
Answer is -28.37
Step-by-step explanation:
from the numerator cos 2a×cos 3a - cos 2a×cos7a= cos6a^2 -cos 14a^2
= -cos8a^2 for the numerator
from the denominator;
sin4a×sin3a-sin2a×sin5a= sin12a^2 -sin10a^2
= sin2a^2
therefore, combining the equation it gives; -cos8a^2/sin2a^2
a^2 will divide each other,
= -cos8/sin2.
from the calculator,
= - 0.9903/0.0349
= -28.37
