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Ainat [17]
3 years ago
15

Cos(180 +x)=-cos(x) use sum and difference Formula​

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
6 0

Step-by-step explanation:

cos(180˚)cos(x)−sin(180˚)sinx=−cosx

−1(cosx)−0(sinx)=−cosx

−cosx=−cosx

pogonyaev3 years ago
6 0

Answer:

Step-by-step explanation:

cos (180+x)=-cos x

cos (180+x)=cos 180cos x-sin 180 sin x

=(-1)cos x-0 (sin x)

=-cos x-0

=-cos x

so cos(180+x)=-cos x

if you want to find x then

cos (180+x)+cos x=0

2 cos (\frac{180+x+x}{2} ) ~cos (\frac{180+x-x}{2} )=0\\or~\\cos (90+x) cos 90=0\\which~ is~ true~ for~ all~ x ~as~cos~90=0\\x=all~real~numbers.

\frac{tan \frac{5\pi }{3}-tan \frac{\pi }{6}  }{1+tan \frac{5\pi }{3} tan\frac{\pi }{6} } \\=tan (\frac{5\pi }{3} -\frac{\pi }{6} )\\=tan(\frac{9\pi }{6} \\=tan (\frac{3\pi }{2} )\\

→-∞

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Answer:

13.79%

Step-by-step explanation:

A solution is made by dissolving 24 millimeters of saline in 150 millimeters of pure solution

Therefore percent of saline in the pure solution can be calculated as follows

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Hence the percent of saline in the pure solution is 13.79%

8 0
4 years ago
What does an outlier mean in math?
Tpy6a [65]
A data point that is insignificantly larger or smaller than other values. for example...
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7 0
3 years ago
Some number was divided into 42. This quotient was then multiplied by 8,after which the resulting product was added to 10. Given
AURORKA [14]

Answer:

126

Step-by-step explanation:

In order to find the initial number, we need to create the expression that is being mentioned and solve for the initial value by applying the opposite expressions to isolate the variable.

(((x / 42) * 8) + 10) = 34   ... subtract 10 from both sides

((x / 42) * 8) = 24 ... divide both sides by 8

(x / 42) = 3  ... multiply both sides by 42

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Finally, we can see that the initial value was 126

5 0
3 years ago
A manufacturer has a monthly fixed cost of $110,000 and a production cost of $14 for each unit produced. The product sells for $
vova2212 [387]

Answer:

Cost function C(x) == FC + VC*Q

Revenue function R(x) = Px * Q

Profit function P(x) =(Px * Q)-(FC + VC*Q)

P(12000) = -38000 Loss

P(23000) = 28000 profit

Step-by-step explanation:

Total Cost is Fixed cost plus Variable cost multiplied by the produce quantity.  

(a)Cost function

C(x) = FC + vc*Q

Where  

FC=Fixed cost

VC=Variable cost

Q=produce quantity

(b)

Revenue function

R(x) = Px * Q

Where  

Px= Sales Price

Q=produce quantity

(c) Profit function

Profit = Revenue- Total cost

P(x) =(Px * Q)-(FC + vc*Q)

(d) We have to replace in the profit function

<u>at 12,000 units </u>

P(12000) =($20 * 12,000)-($110,000 + $14*12,000)

P(12000) = -38000

<u>at 23,000 units </u>

P(x) =($20 * 23,000)-($110,000 + $14*23,000)

P(23000) = 28000

5 0
3 years ago
What is the sum of 1-2 and -18?<br> o 422<br> O 4N2i<br> O 542<br> o<br> 5./;
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Answer:

U need to add more details

Step-by-step explanation:

6 0
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