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ANEK [815]
3 years ago
8

Find sin(u/2) if tan(u)=-7.721 and u is in quadrant 4

Mathematics
1 answer:
morpeh [17]3 years ago
7 0

Answer:

.6601

Step-by-step explanation:

to find u, which we assume is an angle of course, we can take arctan of both sides.  so arctan(-7.721) = -1.4420.  this angle is in quadrant 4, but it is not in the range.  In this instance you just go around the circle again, or add 2pi, which gets us 4.8412.  You can check and you get the same answer if you take the tangent of either.

So now we have a number in the appropriate range  in the appropriate quadrant.  That means we have the correct angle.  The question asks what is sine of that angle cut in half.  so sin(4.8412/2), which gets you your answer.  let em know if something didn't make sense.  

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Hi! I have a math question. This is a two part problem.
Mumz [18]

Answer:

Blair chosen to purchase shirt from company B. Given:

Each shirt costs 3.10$

Shipping cost is 4% (0.04) of total order.

=>Total cost without shipping: 150 x 3.10 = 465$

=> Total cost with 4% of shipping: 465 + 465 x 0.04 = 483.6$

=> Total cost Blair paid for one shirt: C = 483.6/150 = 3.22$

The markup is 75% of original cost:

=> Blair can multiply the total cost for one shirt by 0.75

Blair will sell shirt with price which is equal to the sum of total cost for one shirt and markup:

=> P = 3.22 + 3.22 x 0.75 = 5.64$

Hope this helps!

:)

5 0
3 years ago
Two planes just took off from St. Louis, MO. The first plane is traveling 3.5 times as fast as the second plane. After Traveling
Yanka [14]

Answer:

Speed of first plane is  350 miles per hour

Speed of second plane is 100 miles per hour

Step-by-step explanation:

Let the speed of the second plane be X

Then the speed of the first plane will be 3.5 X

Distance travelled by first plane is 9.5 *X

Distance travelled by second plane is 9.5 * 3.5 X

Difference of distance between the two plane is

9.5 * 3.5 X - 9.5 *X = 2375\\23.75 X = 2375\\X = 100miles per hour

Speed of first plane is 3.5 *100 = 350 miles per hour

Speed of second plane is 100 miles per hour

8 0
2 years ago
Evaluate: <br><br> -4/7 (-3/5) (-7/3)
SOVA2 [1]

\text{Hey there!}

-\dfrac{4}{7}(-\dfrac{3}{5})(-\dfrac{7}{3})\\\\-\dfrac{4}{7}\times-\dfrac{3}{5}=\dfrac{12}{35}\\\text{Reason: -4(-3) = 12 \& -7(-5) = 35}\\\\\\\dfrac{12}{35}\times-\dfrac{7}{3} = \text{\bf{ ANSWER}}\\\\\\\dfrac{12}{35}\times-\dfrac{7}{3}=-\dfrac{4}{3}\\\\\\\boxed{\boxed{\text{\bf{Answer}}\bf{\ -\dfrac{4}{5}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

3 0
3 years ago
I need help with this​
grigory [225]

Answer: The circumference would be 13.502

Step-by-step explanation: I totally forgot how to do the rest I am sorry

5 0
3 years ago
Please help me on this
BabaBlast [244]

Answer:

C. 4 weeks

Step-by-step explanation:

We have the formula

s = 16 \sqrt{7t} + 62

We are looking for the value of t (number of weeks) when s = 150.

So, we isolate t (well, almost isolate, because it would be hard to read)

(\frac{s - 62}{16} )^{2}  = 7t

If we replace s by 150 we get:

7t = (\frac{150 - 62}{16} )^{2} =  (\frac{88}{16} )^{2} =  (5.5 )^{2} = 30.25

We have 7t = 30.25.  If we divide both sides by 7 we get the number of weeks: 4.32... so rounding it down to 4.

4 0
3 years ago
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