Answer:
D. 14
Step-by-step explanation:
a^2+b^2=square of c
a^2+x^2=50
Yuck, trig. I'm doing college trig at this very moment.
the top half (1+(2sinθ)cosθ)=1+sin(2θ)
because 2sinθcosθ=sin(2θ) is an identity

Using polynomial division your answer becomes:
(csc θ)(sec θ)+2
Answer:
It's C) 53
Step-by-step explanation:
Answer: 5.3571
Step-by-step explanation:
The formula used to calculate direct proportion is: y = kx
We will find the constant of proportionality when y=10 and x=5.6. This will be:
y = kx
10 = 5.6k
k = 10/5.6
k = 1.7857143
The value of y when X=3 will be:
y = kx
y = 1.7857143 × 3
y = 5.3571
The complete question is
<span>Sarah rides her horse for 2 1/6 hrs with a constant speed of 6 km/hr and then for another 2 hours and 5 minutes with a constant speed of 12 km/hr what is her average speed for the total trip?</span>
we know that
speed=distance/time
1) Sarah rides her horse for 2 1/6 hrs with a constant speed of 6 km/hr
time=2 1/6 hrs----> 13/6 hrs
speed=6 km/h
distance=speed*time----> 6*(13/6)---> 13 km
2)for another 2 hours and 5 minutes with a constant speed of 12 km/hr
time=2hrs+5 minutes----> 2+(5/60)--> 125/60 hrs
speed=12 km/hrs
distance=speed*time----> 12*(125/60)---> 25 km
3) find the average speed for the total trip
total distance=13 km+25 km----> 38 km
total time=(13/6)+(125/60)----> (10*13+125)/60----> 4.25 hours
speed=38/4.25----> 8.94 km/hrs
the answer is
8.94 km/hrs