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Vesna [10]
3 years ago
10

Complete the identity sin(2θ) sin(4θ) cos(2θ) cos(4θ) = ?

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0

Answer:

Step-by-step explanation:

Factor the left hand side as a difference of squares:

(

cos

2

θ

+

sin

2

θ

)

(

cos

2

θ

−

sin

2

θ

)

=

cos

2

θ

−

sin

2

θ

Apply the pythagorean identity  

cos

2

θ

+

sin

2

θ

=

1

:

1

(

cos

2

θ

−

sin

2

θ

)

=

cos

2

θ

−

sin

2

θ

cos

2

θ

−

sin

2

θ

=

cos

2

θ

−

sin

2

θ

L

H

S

=

R

H

S

Hopefully this helps!

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evelyn drinks 8 glasses of water a day,which is56 glasses a week. How many glasses of water does she drink
vlada-n [284]
1 year=52 weeks

So just multiply it by 56

52*56= 2912 glasses per year
6 0
3 years ago
According to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on ave
ki77a [65]

Answer:

The value of test statistics is 1.06.

Step-by-step explanation:

We are given that according to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per month each teenager watched social media posts was 15.6. This data has a sample standard deviation of 2.5.

We have to test if the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year or not.

Let, NULL HYPOTHESIS, H_0 : \mu = 14.8 hours  {means that the mean amount of time American teenagers watch social media posts per month is same as the mean amount of time last year}

ALTERNATE HYPOTHESIS, H_1 : \mu > 14.8 hours  {means that the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year}

The test statistics that will be used here is One-sample t-test;

             T.S. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean amount of time per month each teenager watched social media posts = 15.6 hours

             s = sample standard deviation = 2.5 hours

             n = sample of teenagers = 11

So, <u>test statistics</u> =  \frac{15.6 - 14.8}{\frac{2.5}{\sqrt{11} } } ~ t_1_0

                            = 1.06

Hence, the value of test statistics is 1.06.

5 0
3 years ago
Mitch used 1 4 pounds of beef to make 3 4 liters of beef strogonoff. If Mitch's recipe is for 1 liter of beef strogonoff, how ma
iren [92.7K]

option B) 3 pounds of beef is needed to make 6 times the recipe.

<u>Step-by-step explanation</u>:

<u>step 1 </u>:

Mitch used 14 pounds of beef = 34 liters of beef strogonoff

'x' pounds of beef = 1 liter of beef strogonoff

<u>step 2</u> :

Rate = No. of pounds / No. of liters

(14 pounds / 34 liters) = (x pounds / 1 liter)

x = 14/34

x = 0.412

1 liter of beef strogonoff = 0.412 pounds of beef

<u>step 3</u> :

To make 6 times the recipe = 6 \times 0.412

                                              = 2.5 pounds of beef ( approximately 3 pounds)

5 0
3 years ago
The band is selling boxes of fruit to raise money for new uniforms. Boxes of oranges cost $12 per box and boxes of grapefruits c
ValentinkaMS [17]

Answer:

The band is selling boxes of fruit to raise money for new uniforms. Boxes of oranges cost $12 per box and boxes of grapefruits cost $15 per box. To get free shipping on all of the fruit each band member must sell at least 25 boxes of fruit. In order to meet your goal, you want to sell at least $500 worth of fruit.

6 0
2 years ago
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solut
Tom [10]

Answer:

x + $0.30 = y

Step-by-step explanation:

hope this helps!

4 0
3 years ago
Read 2 more answers
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