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Valentin [98]
4 years ago
15

Cos 2x cos x − sin 2x sin x = radical 3 /2

Mathematics
1 answer:
9966 [12]4 years ago
6 0
Cos2x.cosx - sin2x.sinx = cos(2x+x)

cos(2x+x) = cos(3x) = (√3)/2

cos⁻¹ (√3/2) = 30°, so x =30/3 = 10°

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Harry, regan and kelan share £450 in the ratio 2 : 5 : 3 . how much money does kelan get?​
Nezavi [6.7K]

Answer:

Kelan gets 135 Euros.

Step-by-step explanation:

First of all you add up the ratio getting 10, with 10 you divide it from 450 getting 45. Then you multiply 3 (Kelan's Part) by 45 getting your answer. Tell me if this helped, i'd appreciate knowing.

5 0
4 years ago
Find the value of x.
swat32

Answer:

x=9.6

Step-by-step explanation:

First, we have to find a similarity statement including x with 3 other values. One that we can do is long leg/hypotenuse=long leg/hypotenuse. If we use the small triangle we can get x/12 (x being long leg, 12 being hypotenuse), and using the big triangle we can get 16/20 (16 being long, 12 being hypotenuse). So, if x/12=16/20, we can solve and get that x=9.6

5 0
2 years ago
Read 2 more answers
A machine produces a part for the automotive industry. 4% of the parts produced were defective in the past, and we believe that
Mamont248 [21]

Answer:

n=\frac{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76  

And rounded up we have that n=115

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64

Solution to the problem

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

The proportion of defectives is estimated as: \hat p=0.04. And on this case we have that the margin of error is ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76  

And rounded up we have that n=115

5 0
3 years ago
Please help Solve 5(2x - 3) = 5x - 10 for c <br><br> A) 2<br><br> B) 1<br><br> C) 0<br><br> D) -1
bixtya [17]

Answer:

B

Step-by-step explanation:

Use distributive property:

5(2x - 3) = 5x - 10

10x - 15 = 5x - 10

Isolate the variable:

10x = 5x - 10 + 15

10x = 5x + 5

10x - 5x = 5

5x = 5

x = 1

4 0
3 years ago
Read 2 more answers
Given: I is the midpoint of ME and SL
ANEK [815]

Answer:

SAS

Step-by-step explanation:

Is there multiple answers?

5 0
3 years ago
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