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12345 [234]
3 years ago
14

Nancy bought a vase as wedding gift .The cost excluding vat was R250.How much must she pay with VAT inclusive

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0

Step-by-step explanation:

VAT = 250*15%

VAT = 250*15/100

VAT = 37.5 therefore

total price add VAT =250+37.5

=287.5

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Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ
mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant.  But maybe you don't know it isn't and it's a "trick" to throw you off.  Hmm...

Anyways, the half angle identity for tangent is

tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.  

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5.  That makes the missing side, by Pythagorean's Theorem, -3.  Filling in our formula:

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) } which simplifies a bit to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }  and a bit more to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }

Bring up the lower fraction and flip it to divide to get

tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1} which of course simplifies to

-3.  Choice A.

6 0
3 years ago
Alexander purchased a computer on sale. The regional price was $1200. The sale price was 5/6 of the original price. How much did
mel-nik [20]
5/6 * 1200/1 = 6000/6
6000/6 = 1000
Alexander pay $1000 for the computer.
5 0
4 years ago
Ariana starts with 100 mg of a radioactive substance. The amount of the substance decreases by 20% each week for a number of wee
BabaBlast [244]

Answer:

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Step-by-step explanation:

3 0
4 years ago
How do you write 200 trillion in scientific notation?
ratelena [41]
You can use either of these, depending on your teacher.
2.e+14
2.0*10^14
6 0
3 years ago
Can you break down how this equation was solved?
dolphi86 [110]
Yes! Let me help you!

Here is the original equation, lets solve this step-by-step

(x + 2)/4 = 5

Now, lets find out how. 

We must apply the inverse operation. 

4/2 is the reciprocal, so lets multiply that to both sides. 

4/2 = 2
5*4 = 20

4x + 8 = 20
      -8      -8            Subtract 8 from both sides. (Inverse operation) 

4x = 12
4x/4  = 12/4             Divide 4 by both sides (Inverse)

x = 12/4
x = 3           Simplified

Answer:  x = 3
3 0
3 years ago
Read 2 more answers
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