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Leno4ka [110]
3 years ago
9

What is the value of arccos(sin(5pi/4))

Mathematics
2 answers:
murzikaleks [220]3 years ago
8 0

Step-by-step explanation:

arccos(sin(5π/4))

= arccos(sin(-π/4))

= arccos(-√2/2)

= 3π/4.

Helga [31]3 years ago
7 0

Answer:

3pi/4

Step-by-step explanation:

EGDE2021

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What is the general form of the equation of the given circle with center A?
liberstina [14]
You'll want to work with the center-radius form of a circle equation for this. the center formula is <span>(x – h)</span>²<span> + (y – k)</span>²<span> = r</span>², where (h, k) is your center and r is your radius. plug in the information your circle gives you: A(-3, 12), radius = 5

(x + 3)² + (y - 12)² = (5)²  ... simplify the right side
(x + 3)² + (y - 12)² = 25 ... from here, you need to foil both of your binomials to convert this to the "general form" that your answer choices are in.
(x + 3)² = (x + 3)(x + 3) = x² + 6x + 9
(y - 12)² = (y - 12)(y - 12) = <span>y² - 24y + 144
</span>
x² + 6x + 9 + y² - 24y + 144 = 25 ... combine like terms
x² + 6x + y² - 24y + 153 = 25 ... subtract 25
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7 0
3 years ago
Read 2 more answers
The Siberian tiger can grow up to 10 4/5 feet long. Express this length as a decimal.
wel
10.8 4/5 is equal to 10.8. 
4 0
4 years ago
Please help this is important
Margaret [11]

Answer:

x = 18.8

Step-by-step explanation:

(6x + 19) is in linear pair vertically so,

it's value will be 180 - 6x + 19. ......( angles in linear pair are supplementary)

now, 180 - 6x + 19 is corresponding with (4x + 11)

therefore, 4x + 11 = 180 - 6x + 19

4x + 6x = 180 + 19 - 11

10 x. = 180 + 8

10 x. = 188

x = 188/10

x. = 18.8

Cross - check:-

4x + 11 = 180 - 6x + 19

4 * 18.8 + 11 = 180 - ( 6 * 18.8 +19)

86.2. = 86.2

therefore, x = 18.8 is the correct answer

6 0
3 years ago
Find the value of n (picture provided)
raketka [301]

Answer:

B

Step-by-step explanation:

Absolute value works like this.

For any number you put inside the absolute value bars, it will always come out positive, so -5 and 5 can work.

7 0
3 years ago
Use the given information to find the p​-value. ​Also, use a 0.05 significance level and state the conclusion about the null hyp
Hatshy [7]

Answer:

We can assume that the statistic is z_{calc}=0.78

p_v = 2* P(z>0.78) = 0.435

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

Step-by-step explanation:

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:  

Null hypothesis:p=3/5  

Alternative hypothesis:p \neq 3/5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

We can assume that the statistic is z_{calc}=0.78

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:

p_v = 2* P(z>0.78) = 0.435

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

7 0
3 years ago
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