All categories

3 years ago

Can someone help me with this? I need the answers so that i can direct my daughter on how to do it.

Mathematics

1 answer:

satela [25.4K]3 years ago

3 0

Answer:

See explanation

Step-by-step explanation:

A unit circle is simply a circle with the radius of one. This is important because a radian is the ratio of the radius to the circumference of a circle. If the radius is 1, then you don't need to worry about the radius and can focus just on the angles, since anything multiplied by 1 is just itself. This unit circle is divided up into 16 parts based on commonly used angle measures. Using right triangles, you can find the x and y coordinates of the points where these angle lines touch the edge of the circle with the pythagorean theorem (and these numbers have already been found for you in the first picture). Since this is a unit circle, the cosine of an angle yields the x coordinate of that angle's intersection with the edge of the circle, while the sine of an angle yields the y value. Therefore, for instance, in the first problem, you know that the cosine of an angle is 1/2, meaning that the x value of that angle is 1/2. You are also told that it is in the fourth quadrant, meaning that the only angle that corresponds to that is $\frac{5\pi}{3}$ . The sin of that angle, or the y value, is also written there and can be seen to be $\frac{\sqrt{3}}{2}$ . I think you can solve the rest on your own, but comment if you need help!

You might be interested in

Which choice most effectively combines the

shepuryov [24]

The subject-verb agreement: "Writing as" effectively combines the sentences at the underlined portion.

<h3>What is a Subject-Verb Agreement?</h3>

The grammatical principle of the subject-verb agreement states that a sentence's subject and primary verb must agree.
Particularly, singular subjects use singular verbs, whereas plural subjects use plural verbs.
There must be an agreement between the number of subjects and verbs (singular or plural).
This means that if a subject is singular, then the verb must likewise be singular, and if a subject is a plural, then the verb must also be numerous. verbs DO NOT include "an, s" in their single forms.

Therefore option (A) is the correct answer.

To learn more about Subject-Verb Agreement, refer:

brainly.com/question/1835508

#SPJ4

The underlined sentence is:

Also, studies have found that those students who major in philosophy often do better than students from other majors in both verbal reasoning and analytical <u>writing. These results</u> can be measured by standardized test scores. On the Graduate Record Examination (GRE), for example, students intending to study philosophy in graduate school have scored higher than students in all but four other majors.

7 0

2 years ago

From 250 workers to 125 workers

den301095 [7]

Answer:

u w0t mate lolololol

Step-by-step explanation:

6 0

3 years ago

Of the total population of American households, including older Americans and perhaps some not so old, 17.3% receive retirement

Alex Ar [27]

Answer:

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

Step-by-step explanation:

We use the binomial aproxiation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$p = 0.173, n = 120$ . So

$\mu = E(X) = np = 120*0.173 = 20.76$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.173*0.827} = 4.14$

In a random sample of 120 households, what is the probability that more than 20 households but fewer than 35 households receive a retirement income?

We are working with discrete values, so this is the pvalue of Z when X = 35-1 = 34 subtracted by the pvalue of Z when X = 20 + 1 = 21.

X = 34

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{34 - 20.76}{4.14}$

$Z = 3.2$

$Z = 3.2$ has a pvalue of 0.9993

X = 21

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{21 - 20.76}{4.14}$

$Z = 0.06$

$Z = 0.06$ has a pvalue of 0.5239

0.9993 - 0.5239 = 0.4754

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

6 0

3 years ago

Maria, Hans, and Dan have a total of $95 in their wallets. Dan has 3 times what Hans has. Hans has $10 more than Maria. How much

mr Goodwill [35]

It looks like everyone's amount of money is based on Maria's amount of money. Let's say Maria is M, Hans is H and Dan is D. Maria has M amount of money. If Hans has 10 more than Maria, he has M+10. If Dan has 3 times what Hans has and Hans has (M+10), then Dan has 3(M+10) which is 3M+30. Altogether they have 95 dollars. So we will add up what they have and set it equal to 95. M+10+M+30+3M=95. That simplifies to 5M+40=95 and 5M=55. Therefore, Maria has 11 dollars. Hans has 10+11=21, and Dan has 3(21)=63. 11+21+63=95

5 0

4 years ago

A car sells for 16000 if the rate of depreciation is %18 find the value of the car after 8 years

marusya05 [52]

Answer:

Hence the sell value of car after 8 years at 8% depreciation = 3270.62 unit

Step-by-step explanation:

Given as ,

A car initial sells value = 16000 unit

Depreciation rate of sell = 18 %

Time for depreciation = 8 years

Now , The value of car after 8 years = $initial sell value \times (1 - \frac{Rate}{100})^T$

Or, = $16000 \times (1 - \frac{18}{100})^8$

= 16000 × 0.2144

= 3270.62 unit

Hence the sell value of car after 8 years at 8% depreciation = 3270.62 unit Answer

6 0

3 years ago