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Dima020 [189]
4 years ago
8

Trigonometric Identity help​

Mathematics
1 answer:
vovikov84 [41]4 years ago
7 0

Answer:

sin\pi/4 * sin\pi/6 = 1/2 *(cos \pi/12 - cos 5\pi/12)

Step-by-step explanation:

Formula:- sinX sinY = (1/2) [ cos (X - Y) - cos (X + Y) ]

sin(π/4)sin(π/6)

= (1/2)[cos(π/4 - π/6) - cos(π/4 + π/6)]

= (1/2)[cos(3π/12 - 2π/12) - cos(3π/12 + 2π/12)]

= (1/2)[cos(π/12) - cos(5π/12)]

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Researchers are conducting a study in an attempt to establish a linear relationship between the number of online music video vie
Charra [1.4K]

Answer:

d. 0.0948 ± 4.032(0.0279)

Step-by-step explanation:

A 99% confidence interval for the coefficient of promotional expenditures is, First, compute the t critical value then find confidence interval.

The t critical value for the 99% confidence interval is,  

The sample size is small and two-tailed test. Look in the column headed es = 0.01 and the row headed in the t distribution table by using degree of freedom is here

for (n-2=5) degree of freedom and 99% confidence ; critical t =4.032

therefore 99% confidence interval for the slope =estimated slope -/+ t*Std error

= 0.094781123 -/+ 4.032* 0.027926367 = -0.017822 to 0.207384

3 0
3 years ago
What are the x-intercepts of the graph of the quadratic function
Svetllana [295]
  • Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.

(Make sure to set f(x) to zero)

So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 0=5x^2+5x-x-1

Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 0=5x(x+1)-1(x+1)

Now you can rewrite the equation as: 0=(5x-1)(x+1)

Now apply zero product property to the factors to solve for x:

5x-1=0\\5x=1\\x=\frac{1}{5}\\\\x+1=0\\x=-1

<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>

5 0
4 years ago
The nursing department of a college surveyed two hundred graduates from their programs about their current
mel-nik [20]

Answer: The required probability is 0.008.

Step-by-step explanation:

Since we have given that

Probability of bachelor's degree = 0.45

Probability of working in nursing = 0.85

Probability of both = 0.4

So, Probability of getting a graduate is currently working in nursing, given that they earned a bachelor's degree would be :

P(N|B)=\dfrac{P(N\cap B)}{P(B)}\\\\P(N|B)=\dfrac{0.4}{0.45}\\\\P(N|B)=0.008

Hence, the required probability is 0.008.

3 0
3 years ago
Given the function shown in the graph below, which of the following is FALSE?
miskamm [114]

Answer:

I belive it to be C my guy

Step-by step explanation

3 0
2 years ago
Read 2 more answers
What is the value of x? Enter your answer in the box.
Radda [10]

Answer:

x = 8

y = 6

Step-by-step explanation:

First and foremost, it's an equilateral triangle, therefore all sides and angles are equal.

Knowing that the sum of angle in a triangle is 180°, therefore each angle is 60°.

Then equating (7x+4)° to 60, we have that,

7x+4=60

7x=60-4

7x=56

x=56÷7

x=8.

5 0
2 years ago
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