Remark
Start by figuring this out for 1 car. Worry about the 7 part when you find 1.
This problem is used quite frequently in physics. For example resistors in parallel use the same equation.
Formula
1/frank + 1/carla + 1/missy = 1/ time taken to do 1 mar.
Givens
Frank = 2 hours
Carla = 2 hours
Missy = 3 hours.
Substitute and Solve
1/2 + 1/2 + 1/3 = 1/Three_together.
3/6 + 3/6 + 2/6 = 1/Three_together.
8/6 = 1/Three_together. Cross multiply
8 * Three_Together = 6*1
8 * Three_Together = 6 Divide by 8
Three_Together = 6/8 = 3/4 = 0.75 hours. or 45 minutes for 1 car
Seven Cars
For 7 cars multiply 0.75 by 7
7 * 0.75 = 5.25 hours. <<<< Answer
Answer:
a
Step-by-step explanation:
Answer:
I think it's probably 5 hikes
Answer:
sin θ = (√21) / 5
tan θ = (√21) / 2
Step-by-step explanation:
Remember the formulas for the <u>trigonometry ratios</u> with SohCahToa:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
If cos θ = 2/5, then:
adjacent = 2
hypotenuse = 5
Remember all right triangles follow the <u>Pythagorean Theorem</u>. So if you are missing one side, you can solve.
Let's find the opposite side.
a² + b² = c²
2² + b² = 5²
4 + b² = 25
b² = 21
b = √21
opposite = √21
Now we know all three sides. <u>Use the trigonometry ratios</u> to find sine and tangent.
sin θ = opposite / hypotenuse
sin θ = (√21) / 5
tan θ = opposite / adjacent
tan θ = (√21) / 2
