Sin θ = − 8/17 and θ is in Quadrant III, find tan(θ/2)

Answers

Answer 1
Answer:

Answer:

tan(θ/2) = -0.25

Step-by-step explanation:

sin(x) = -8/17

     x = sin^-1(-8/17)

     x = -28.07

tan(θ/2) = tan(-28.07/2)

             = -0.25


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5-1 homework answers

Answers

Answer:

licksickflickmydick

Step-by-step explanation:

Train A arrives at central station on the hour and every 12 minutes .train B arrives on the hour and every 15 minutes .
when do both trains arrive at the same time ?

Answers

both trains arrive after train a has made its forth trip so every 5 trips

Look Down Below For question:

Answers

the cattle train
speed - 36.5 km/h
time - x h

the passenger train
speed - 29.2 km/h
time - (2.4+x) h

The cattle train caught up to the passenger train so the distance they travelled is the same.
Distance is speed times time.

36.5 * x=29.2 * (2.4+x) \n36.5x=70.08+29.2x \n36.5x-29.2x=70.08 \n7.3x=70.08 \nx=(70.08)/(7.3) \nx=9.6 \n \n 2.4+x=2.4+9.6=12

The passenger train travelled for 12 hours before the cattle train caught up.
Used brute force to figure this one out and got lucky at t=12.

What you need to know:

d=\left| x-y \right|

t = time travelled (in hours)

x = distance passenger train has travelled

y = distance cattle train has travelled

d = distance between both trains in km

------------------------------------

RESULTS AND TIME SNAPSHOTS:

When:

t=0, x=0, y=0, d=0

t=2.4, x=70.08, y=0, d=70.08

t=4.8, x=140.16, y=87.6, d=52.56

t=7.2, x=210.24, y=175.2, d=35.04

t=9.6, x=280.32, y=262.8, d=17.52

t=12, x=350.4, y=350.4, d=0 <-------

So your answer is 12 hours.

21 trucks, each with a 2.5-ton payload, are needed to unload a freight train. How many trucks, each with a 3.5-ton payload, would be needed to do the same job? What is the constant of variation?

Answers

tons needed to unload a freight train= 21×2.5 =52.5
number of 3.5-ton payload trucks needed to unload a freight train=52.5÷3.5 = 15

15 Trucks , Each With A 3.5-Ton Payloaf , Would be Needed To Do The Same Job. 

What is 12.345 rounded to the nearest tenth

Answers

Rounding to the nearest tenth means rounding to the decimal place directly to the right of the decimal. 

The rules of rounding are fairly simple. If the number to the right of the number you are rounding is greater than or equal to 5, you round up. If the number to the right is less than 5, you round down.

Let's take a look at the number 12.345.
First, round to the hundredths place. The number right before the 4 is 5, so we round up. This gives us the number 12.35.
Next, we have to round to the tenths place. The number to the right of the 3 is 5, so we round up as well. This gives us the number 12.4.

Answer: 12.4
The answer to your question 12.3 because it the number the the hundredth place is smaller the 5 you round down

Brenna had a gross income of $2158.22 during each pay period in 2010. If she got paid monthly, how much of her pay was deducted for FICA in 2010?

Answers

FICA stands for Federal Insurance Contributions Act and FICA taxes are deductions from gross earnings at a rate of 7.65%. If Brenna earns monthly at a gross of $2158.22, then her deduction for FICA is $165.10383 which is 7.65% from her gross income ($2158.22 x 0.0765).