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nydimaria [60]
3 years ago
9

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
uranmaximum [27]3 years ago
4 0
I'm sure the answer is. C

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?
Rufina [12.5K]
x is in quadrant I, so 0, which means 0, so \dfrac x2 belongs to the same quadrant.

Now,

\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}

Since \sin x=\dfrac5{13}, it follows that

\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}

Since x belongs to the first quadrant, you take the positive root (\cos x>0 for x in quadrant I). Then

\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}

\tan x is also positive for x in quadrant I, so you take the positive root again. You're left with

\tan\dfrac x2=\dfrac15
4 0
3 years ago
Wo runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and w
SpyIntel [72]

Answer:

I believe the last answer is correct

Step-by-step explanation:

Both runners are gaining money

8 0
3 years ago
If a baby weighed 3 and 3/8 how many more pounds would it have to gain to reach 5 1/2 pounds
Volgvan
First, get common denominators
At the same time, turn these into mixed numbers
27/8 + x = 44/8
Subtract 27/8 from both sides
x = 2 1/8 pounds
Let’s x be how many more pounds the baby needs
6 0
4 years ago
What is the value of x?
Licemer1 [7]

Answer:

D. 16

Step-by-step explanation:

1. Because these are vertical angles (opposite pair of angles that are formed by intersecting lines), these are congruent. That means (8x-8) = (7x+8).

2. (Solving)

Step 1: Subtract 7x from both sides.

  • 8x-8-7x=7x+8-7x
  • x-8=8

Step 2: Add 8 to both sides.

  • x - 8 + 8 = 8 + 8
  • x = 16

Step 3: Check if solution is correct.

  • 8(16)-8=7(16)+8
  • 128-8 = 112+8
  • 120 = 120

Therefore, the answer is D. 16.

5 0
3 years ago
.Which one of the following is true when ds/dt=3t^2/2s
ser-zykov [4K]
1) Given: ds / dt = 3t^2 / 2s

2) Separate variables: 2s ds = 3t^2 dt

3) Integrate both sides:

∫ 2s ds = ∫ 3t^2 dt

s^2 + constant = t^3 + constant

=> s^2 = t^3 + constant

=> s = √ (t^3 + constant)

Answer: option B.
4 0
4 years ago
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