Answer:
Step-by-step explanation:
We want to write the trignometric expression:
As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:
Take the secant of both sides:
Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:
By substitutition:
Using an double-angle identity:
We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:
Simplify. Therefore:
Answer:
7.5
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
If distance is "1 round trip", then the time going is ...
going = 0.5/(10 mi/h) . . . . for 1/2 round trip
and the time coming is ...
coming = 0.5/(6 mi/h)
Then the average speed for the full round trip is ...
speed = distance/time
average speed = 1/(going + coming) = 1/(0.5/10 +0.5/6) mi/h
= 1/((3+5)/60) mi/h
= 60/8 mi/h = 7.5 mi/h
Jack's average speed for the round trip was 7.5 mph.
Answer:
h = 1/2
Step-by-step explanation:
Step 1: Write equation
2.4(5h + 10) - 3 = 27
Step 2: Distribute
12h + 24 - 3 = 27
Step 3: Combine like terms
12h + 21 = 27
Step 4: Subtract 21 on both sides
12h = 6
Step 5: Divide both sides by 12
h = 6/12
Step 6: Simplify
h = 1/2
Answer:
x | y
10 1 = 1/2 (10) -4=5-5= 1
-2 -5 = 1/2(-2)-4=-1-4= -5
4 -2 = 1/2(4)-4=2-4= -2
-8 -8 = 1/2(-8)-4=-4-4= -8
Step-by-step explanation:
Hope it helps you in your learning process.
