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scZoUnD [109]
3 years ago
7

Find an exact value cos 75°

Mathematics
2 answers:
Drupady [299]3 years ago
5 0

Answer:

0.2588

Step-by-step explanation:

Vikentia [17]3 years ago
4 0

Answer:

(√3 - 1) / 2√2.

Step-by-step explanation:

Using the compound angle identity

cos(A + B) = cosA cosB - sinA sinB:-

cos 75

= cos (45 + 30)

= cos 45 cos 30 - sin 45 sin 30

= 1 / √2 * √3/2 - 1 / √2 *  1 / 2

= √3 / 2√2 - 1 / 2√2

= (√3 - 1) / 2√2.

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Four teachers by 10 origami books and 100 packs of origami paper for their classrooms they will share the cost of the Items equa
Tamiku [17]
$24 times 10 is $240 and $6 times 100 is $600 so 240+$600 is $840 then $840 devided by 4 is $210.
3 0
3 years ago
In 2015 as part of the General Social Survey, 1289 randomly selected American adults responded to this question:
Radda [10]

Answer:

B (0.312, 0.364)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

1289 randomly selected American adults responded to this question. This means that n = 1289.

Of the respondents, 436 replied that America is doing about the right amount. This means that \pi = \frac{436}{1289} = 0.3382.

Determine a 95% confidence interval for the proportion of all the registered voters who will vote for the Republican Party. ​

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 - 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.312

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3382 + 1.96\sqrt{\frac{0.3382*0.6618}{1289}} = 0.364

The 95% confidence interval is:

B (0.312, 0.364)

5 0
3 years ago
Challenge you buy 3.18 pounds of oranges, 1.15 pounds of grapes, and 2.32 pounds of apples.
11111nata11111 [884]

Answer:

5

Step-by-step explanation:

Oranges: 3.46 $

Grapes: 1.36 $

Apple: They didn't leave you with the cost of the apple so I don't know

Add 3.46 plus 1.36 and you get 4.82. Then round that to 5.00.

8 0
3 years ago
Find each angle measure to the nearest degree
IRISSAK [1]

Answer:

RS=26.49 m;

ST =14.08 m;

m<R =28°

Step-by-step explanation:

7 0
2 years ago
I like to give easy points so what is 35+50+20 super easy
BARSIC [14]
105 cuz it is........
4 0
3 years ago
Read 2 more answers
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