Evaluate the following expressions. Your answer must be an exact angle in radians and in the interval [0] Example: Enter pi/6 for (a) cos 2 (b) cos(1) = 2 -1 2 (c) cos Question Help: Video 1 Video 2 Submit Question Question 8 B01 Evaluate the following expressions. Your answer must be an exact angle in radians and in the interval 7 T Example: Enter pi/6 for 6 т (a) tan (13) (b) tan (-V3) = (c) tan V3 3 Question Help: Video 1 D Video 2 Submit Question

The length of the radius AB is 6 units.

The angle ∠BAC is 90 degrees. The length of arc BC is 3π. The length of  

radius AB can be found as follows:

Hence,

length of arc = ∅ / 360 × 2πr

where

Therefore,

length of arc = 90 / 360 × 2πr

3π = 1 / 4 × 2πr

cross multiply

12π = 2πr

divide both sides by 2π

r = 6 units

Therefore,

radius AB = 6 units

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Young people respond more favorably to literature that reflects their cultural customs, and this is because of the importance of cultural background in children’s reading development. Ethnic and cultural differences play an essential role in the children's reading development.

Children's cultural and ethnic background has a considerable impact on their learning, and thus the type of literature they respond to. Children tend to read more when they find that the stories and books reflect their cultural customs and identity. This enhances their literacy and reading skills, which in turn leads to an increased interest in reading and a better understanding of what they are reading.

Cultural diversity can help children become more empathetic and accepting of differences, and can help them to learn about new cultures. Therefore, it is crucial to provide children with access to a range of culturally diverse literature to help them understand the experiences of others. Children learn more effectively when they can make connections between what they are learning and their own experiences.

In conclusion, children's reading development is influenced by their ethnic and cultural background. Young people respond more favorably to literature that reflects their cultural customs, which can help them to become more empathetic and accepting of differences, as well as develop their literacy and reading skills. Therefore, it is essential to provide children with a range of culturally diverse literature to help them learn about new cultures and understand the experiences of others.

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The values of x and y using the concept of similar figures are:

y = 166 and x = 3.33 units

Two triangles are said to be similar if their corresponding side proportions are the same and their corresponding pairs of angles are the same. When two or more figures have the same shape but different sizes, such objects are called similar figures.  

We are told that Polygon ABCD is similar to Polygon EFGH and as such applying the similar figure definition above, we can say that:

∠B = ∠F

Thus:

∠B = 360 - (61 + 116 + 90)

∠B = 360 - 267

∠B = 93°

Thus:

y - 73 = 93

y = 166

Using the concept of similar figures, then:

6/4 = 5/x

x = 20/6

x = 3.33 units

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Answer:

x=-5

Step-by-step explanation:

70=7x-7(2x-5)

70=7x-14x+35

70-35=-7x

35=-7x

5=-x

-5=x

24 hours takes all five machines to fill the same production order.

Given,

Four machines take 30 hours to fill a certain production order.

\(Rate = \frac{Work}{Time}\)

Let, Total work = 1 unit

The rate of 4 machines = \(\frac{1}{30}\)

We can let the rate of 5 machines be n and create the equation:

\(\frac{4}{\frac{1}{30} }=\frac{5}{n}\)

\(120=\frac{5}{n}\)

\(120n = 5\)

\(n=\frac{5}{120}\)

\(n=\frac{1}{24}\)

Time taken by five machines = \(\frac{1}{\frac{1}{24} }\)

Time is taken by five machines = 24 hours

Hence, 24 hours takes all five machines to fill the same production order.

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Answer:

The answer is

Step-by-step explanation:

To convert an angle from degrees to radians multiply the value by \( \frac{\pi}{180} \)

From the question the value to be converted is - 420°

The value in radians is

\( - 420 \times \frac{\pi}{180} \\ = - \frac{420\pi}{180} \)

Reduce the fraction with 60

We have the final answer as

\( - \frac{7\pi}{3} \)

Hope this helps you

By showing that the corresponding sides are not proportional we know that the Triangles △fgh and △jih are not similar.

To prove that triangles △fgh and △jih are not similar, we need to show that at least one pair of corresponding sides is not proportional.
Let's compare the side lengths:

Side fg does not have a corresponding side in △jih.
Side gh in △fgh corresponds to side hi in △jih.
Side fh in △fgh corresponds to side ij in △jih.

By comparing the side lengths, we can see that side gh/hj and side fh/ij are not proportional.

Therefore, triangles △fgh and △jih are not similar.

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Triangle FGH (△FGH) is not similar to triangle JIH (△JIH) because their corresponding angles are not congruent and their corresponding sides are not proportional.

To prove that triangle FGH (△FGH) is not similar to triangle JIH (△JIH), we need to show that their corresponding angles and corresponding sides are not proportional.

1. Corresponding angles: In similar triangles, corresponding angles are congruent. If we compare the angles of △FGH and △JIH, we find that angle F in △FGH corresponds to angle J in △JIH, angle G corresponds to angle I, and angle H corresponds to angle H. Since the corresponding angles in both triangles are not congruent, we can conclude that the triangles are not similar.

2. Corresponding sides: In similar triangles, corresponding sides are proportional. Let's compare the sides of △FGH and △JIH. Side FG corresponds to side JI, side GH corresponds to side IH, and side FH corresponds to side HJ. If we measure the lengths of these sides, we can see that they are not proportional. Therefore, the triangles are not similar.

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\(y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so hmmm then we know the slope of that line is -2/3, so we're really looking for the point-slope form of a line with a slope of -2/3 and that passes through (-3 , 8)

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{(-3)})\implies y-8=-\cfrac{2}{3}(x+3)\)

Answer:

Assuming those triangles are both right, the answer is 5.3

To find how much Angie will save in 4 weeks, we multiply her daily savings ($29) by the number of days in 4 weeks (28). $812 in 4 weeks.Angie will save $812 in 4 weeks.

To find out how much Angie will save in 4 weeks, we need to calculate her savings per day and then multiply it by the number of days in 4 weeks.

Angie earns $45 a day and spends $16 each day, so her daily savings would be $45 - $16 = $29.

Now, we need to find the number of days in 4 weeks. Since there are 7 days in a week, we multiply 4 weeks by 7 days, which gives us 4 * 7 = 28 days.

Finally, to find how much Angie will save in 4 weeks, we multiply her daily savings ($29) by the number of days in 4 weeks (28).

$29 * 28 = $812.

Therefore, Angie will save $812 in 4 weeks.

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The value of angle Z based on the information given will be 110°.

It should be noted that based on the information, we've to add the angles and equate them to 180°.

Therefore, (13x - 7) + (8x - 2) = 180°

21x = 180 + 9

21x = 189

Divide through by 21

x = 189 / 21

x = 9

Therefore, 13x - 7 will be:

= 13(9) - 7

= 110°

Therefore, Z is 110°.

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Answer:

X = 4

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

Answer: Square and rectangle

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Simple interest formula:  A = P(1 + rt)

where:

Given:

Substitute given values into the formula and solve for r:

⇒ A = P(1 + rt)

⇒ 2232 = 1800(1 + r · 2)

⇒ 1.24 = 1 + r · 2

⇒ 0.24 = 2r

⇒ r = 0.12

Convert into percentage:

0.12 = 12/100 = 12%

Using the Central Limit Theorem, it is found that the correct option is:

The Central Limit Theorem states that taking a sample of size n for a population of mean \(\mu\), the sample means are going to be close to \(\mu\).

In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.

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Answer:

its b

Step-by-step explanation:

on usatp

A relation in math is a set of ordered pairs containing two elements, one from each set. The first element is from the domain and the second from the range.

Relations can be expressed as a set of ordered pairs, as a graph, or as a mapping diagram. A function is a special type of relation in which, for every element in the domain, there is one and only one element in the range. This is expressed mathematically by stating that for every x in the domain, there is one and only one y in the range such that y = f(x). To calculate a relation, the domain and range values are paired with each other, and the ordered pairs are written down. For example, if the domain is {2,3,4,5} and the range is {7,8,9,10}, then the relation would be {(2,7),(3,8),(4,9),(5,10)}.

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The radius of the circle is 3 units.

The center of the circle lies on the y-axis.

The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The circle's given equation is  \(x^{2}\) + \(y^{2}\)– 2x – 8 = 0. ------- equation 1

The formula for a circle with a radius of r units and a centre of (h, k) is

has a radius of three units and a centre at (h, k) = (0, 1).

\((x - h)^{2}+ (y-k)^{2}\) = \(r^{2}\)

From equation 1,

\(x^{2}\) + \(y^{2}\)– 2x – 8 = 0

\(x^{2}\) +(y-1)^2 = 9

(x-0)² + (y-0)² = \(3^{2}\)

Compare the above equation with standard equation of circle,

centre, (h,k) = (0,1)

radius = 3 units

Since the center's (0, 1) x coordinate is 0, it is on the Y-axis.

x² + y² = 9.

(x - 0)^2 + (y - 0)^2 = 3^2

Therefore, this circle has a radius of 3 units.

The radius of the circle that is given is same to the radius of the circle whose equation is x² + y² = 9.

Therefore, the circle's standard equation is that its centre is on the Y-axis, its radius is 3, and its radius is the same as the radius of the circle whose equation is x² + y² = 9.

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The overall probability of selecting three Americans is:5/13 * 4/12 * 3/11 = 5/143 Answer: 5/143

Probability of selecting first American = number of Americans / total number of people= 5 / (5 + 8)= 5 / 13

Probability of selecting the second American = number of Americans / total number of remaining people after selecting the first American

= 4 / 12 (as there will be 12 people remaining after selecting the first American, which includes 4 Americans and 8 Italians)

Probability of selecting the third American = number of Americans / total number of remaining people after selecting the first and second American

= 3 / 11 (as there will be 11 people remaining after selecting the first and second American, which includes 3 Americans and 8 Italians)

Therefore, the overall probability of selecting three Americans is:5/13 * 4/12 * 3/11 = 5/143 Answer: 5/143

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Answer:

niki minaj " im the queen of rap" she said it

Step-by-step explanation:

Answer:

Nicki Minaj

Explanation:

Onika Tanya Maraj-Petty, known professionally as Nicki Minaj, has held the “Queen of Rap” title for at least ten years.

Answer:

35 percent

Step-by-step explanation:

70/200

35/100

Answer:

Solution and how to convert 70 / 200 into a percentage.

0.35 times 100 = 35.

Step-by-step explanation:

That's all there to it!

I think I understand what you mean. If Alex got $50 and already spent 22 to get into the actual game, then they would have $28 after getting into the actual game.

So $28 dollars.

(Hope that's what you meant.)  

Answer:

5.25

Step-by-step explanation:

Answer: 105/20 in decimal = 5.25

Step-by-step explanation: The fraction bar means "divided by" in the fraction 105/20, where 105 is the numerator and 20 is the denominator. As a result, the fraction 105/20 can be written as "105 divided by 20" or "105 20."

We discovered that 105/20 in decimal form is: 105 20 = 5.25 when we divided 105 by 20.

As a result, 105/20 has a decimal form of 5.25.

Hope this helps.

Answer:

y=3x+1

Step-by-step explanation:

x is the weeks and y is the final product

Answer:

1+(3x7) she has 22 dollars

Step-by-step explanation:

Given:

2x + 4y = 14

4x + y = 20

Required:

We need to find the equivalent to the given system.

Explanation:

Consider the equation

Multiply both sides of the equation by -4, it will not affect the equations of the system

Final answer:

The equivalent system of the equation is

Suppose you have a valid argument with a false conclusion. Given this information, what do you know about the truth value of the argument's premises? The premises must all be false. At least one premise must be false. There must be at least one true premise and at least one false premise. The premises may be any combination of true and false. The premises must all be true.

"The argument may be either valid or invalid" When trying to determine the validity of an argument in logic, the truth of a premise is a non-factor. Logic is concerned about whether or not an argument would effectively transfer truth from its premises to the conclusion if the premises were true.

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Answer:

$546

Step-by-step explanation:

726 is 1/3. 3/3 is 2178. - 1632= 546.

Answer:

C(t)= .10t +25

Step-by-step explanation:

Answer: six hundred nine thousandths

Step-by-step explanation: