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6. 02 rad. is the value of conversion of the angle 0 = 345° to radians.

Here, we have,

given that,

Convert the angle theta = 345° to radians.

To convert from degrees to radians, multiply the number of degrees by π/180.

This will give you the measurement in radians.

If you have an angle that's 90 degrees, and you want to know what it is in radians, you multiply 90 by π/180. This gives you π/2.

here, angle = 345°

We convert degrees to radian by multiplying by (π/ 180)

=(345)×(π/ 180)

=( 345/180)×(π)

=1.9166π

=1.9166×3.14

=6.018 rad

≈6.02 rad .

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Answer:

The arc length XY is equal to [tex]\frac{50}{9}\pi\ ft[/tex]  or [tex]17.4\ ft[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the circumference of the circle H

The circumference is given by the formula

[tex]C=2 \pi r[/tex]

we have

[tex]r=xh=10\ ft[/tex]

substitute

[tex]C=2 \pi (10)\\C=20\pi\ ft[/tex]

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the length of the arc xy if the central angle is equal to 100 degrees

Remember that

[tex]m\angle XHY=arc\ XY=100^o[/tex] ---> by central angle

[tex]\frac{20\pi}{360^o}=\frac{x}{100^o}\\\\x=20\pi(100)/360\\\\x=\frac{2,000}{360}\pi\ ft[/tex]

Simplify

[tex]x=\frac{50}{9}\pi\ ft[/tex] ----> exact value

To find out the approximate value

assume

[tex]\pi=3.14[/tex]

substitute

[tex]x=\frac{50}{9}(3.14)=17.4\ ft[/tex] ----> approximate value

therefore

The arc length XY is equal to [tex]\frac{50}{9}\pi\ ft[/tex]  or [tex]17.4\ ft[/tex]

The arc length is 17.4 feet

The arc length is given as,

                       [tex]\theta=\frac{arc}{radius}[/tex]

From given figure, It is observed that radius is 10 feet and angle is 100 degree.

Convert 100 degree into radian,

                    [tex]100degree=100*\frac{\pi}{180} =1.74 radian[/tex]

Substitute values in above relation.

                     [tex]1.74=\frac{arc}{10}\\ \\arc=1.74*10=17.4feet[/tex]

Thus, the arc length [tex]xy[/tex] is 17.4 feet

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Explanation:

The left-most point on the graph is at (-3, -5) which is a closed circle. So this point is on the graph. The x coordinate here is x = -3. This is the smallest x value we can plug into the function, so it is the smallest value in the domain.

The upper boundary of the domain is x = 3. We can't actually use 3 itself since there is a open hole at the point (3,-5), meaning that this point isn't part of the graph. We can only get closer and closer to x = 3 but not get there.

So we can say the domain is the set of real numbers x such that [tex]-3 \le x < 3[/tex] meaning that x is between -3 and 3, where we include -3 but exclude 3. To write this in interval notation, you would write [-3, 3)

The square bracket means "include this endpoint". The curved parenthesis means "exclude this endpoint.

-----------

The range is handled in a similar fashion. We look at the y values this time. The smallest y coordinate is y = -5, which is from the point (-3, -5). The largest y value is y = 4 at the point (0,4). We can pick any y value between -5 and 4, including both endpoints, so we say

range = set of all y values such that [tex]-5 \le y \le 4[/tex]

which in interval notation translates to [-5, 4]

Given:

Line of the graph.

AB : BC = 3 : 4

To find:

The point B on AC.

Solution:

The coordinate of A is (8, -5).

The coordinate of C is (1, 9).

Using section formula:

[tex]$B(x, y)=\left(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n}\right)[/tex]

Here, [tex]x_1=8, y_1=-5, x_2=1, y_2=9[/tex] and m = 3, n = 4

[tex]$B(x, y)=\left(\frac{3\times 1 +4 \times 8}{3+4}, \frac{3 \times 9+4\times (-5)}{3+4}\right)[/tex]

[tex]$B(x, y)=\left(\frac{3 +32}{7}, \frac{27-20}{7}\right)[/tex]

[tex]$B(x, y)=\left(\frac{35}{7}, \frac{7}{7}\right)[/tex]

[tex]$B(x, y)=\left(5, 1)[/tex]

The point B on AC is (5, 1).

Answer:20 and 14

Step-by-step explanation:

Final answer:

The two numbers sought are 27 and 7, with 27 being the larger number and 7 being the smaller number, 20 less than 27. This is determined by setting up a system of equations based on the given conditions and solving for the two unknowns.

Explanation:

The question involves finding two numbers based on the conditions given: the sum of the two numbers is 34, and the smaller number is 20 less than the larger number. Let's denote the larger number as x and the smaller number as y. According to the conditions, we have two equations: x + y = 34 and y = x - 20.

We can substitute the second equation into the first to find the value of x: x + (x - 20) = 34, which simplifies to 2x - 20 = 34. Adding 20 to both sides gives us 2x = 54, and dividing both sides by 2 yields x = 27. Now that we know the larger number, we can find the smaller number by substituting x into the second equation: y = 27 - 20, which gives y = 7. Therefore, the two numbers are 27 and 7.

Answer:

it is an obtuse angle  because we clearly see that it is not a right angle or an acute angle

BAE is an acute angle

Step-by-step explanation:

Answer:

Obtuse angle

Step-by-step explanation:

By definition, an obtuse angle is angle that is larger than 90 degrees. Because BAC is larger than 90 degrees, it is an obtuse angle.

Answer:

answer is swiming

Step-by-step explanation:

hoped this helped

Answer:

swimming

Step-by-step explanation:

Answer:

The answer(s) on ed are:

1) Quadratic

2) 711 metric tons

3) Most Likely to Increase.

Step-by-step explanation:

:) It's 100% right!!!

The amount of methane emissions, in millions of metric tons, from 2002 to 2008 is shown. So, the answer is 1) Quadratic 2) 711 metric tons and 3) Most Likely to Increase.

When the data shows some trend, either linear (making a line), or non-linear (a predictable curve), we fit a mathematical curve on that data set, as a representative of the pattern in that data set, to predict the output based on the inputs.

A 2-column table with 7 rows.

The first column is labeled year with entries 2002, 2003, 2004, 2005, 2006, 2007, and 2008.

The second column is labeled methane (millions of metric tons) with entries 673.3, 660.6, 661.6, 669.2, 678.5, 690.9, and 724.2.

1) A regression model that best models the data would be the Quadratic function.

2) The amount of methane emissions in 2000 was about million metric tons.

It would be 711 metric tons

3) The amount of methane emissions in the years immediately following 2008 would most likely to Increase.

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Answer:

C

Step-by-step explanation:

Rotated 180 is basically flipping the figure to the other side

Answer:

c because one is acute the other is scalene

So the right answer is 3.

Look at the attached picture ⤴

Hope it will help u...

Answer: 3

Do Keep Change Flip (KCF)

Keep: 6/5

Change: ÷ into ×

Flip: 2/5 into 5/2

Your new problem: 6/5×5/2

Multiply

[tex]6/5*5/2=30/10\\30/10=3[/tex]

Answer:

center -1,-4 and the radius is 4

Step-by-step explanation:

Answer:

The center of this circle (1,-4)

radius of the circle is 4

Answer:

5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

0,2,3,5,5,6,9,11 Median is the middle number once you order the numbers if there are two numbers you go for in between

Answer:

Dealer ABC by $50 more dollars.

Step-by-step explanation:

Dealer ABC can be represented by the following equation:

[tex]x=35(13)[/tex]   Multiply the values together

[tex]x=455[/tex]

Dealer XYZ can be represented by the following equation:

[tex]x=45(9)[/tex]    Multiply the values together

[tex]x=405[/tex]

The difference between the two is:

[tex]455-405=50[/tex]

Dealer ABC offers the highest weekly pay with $50 more dollars.

Answer:

A spoon.People buy it to eat but dont eat it.

Answer:

50 cent

Step-by-step explanation:

um well im not sure if this is correct but hopefully it if have a good day :)

Answer:

(a) 2 ounces.  (b) 90 grams.

Step-by-step explanation:

(a) 70 grams = about 2.3 ounces  = 2 ounces to nearest ounce.

(b) 3 ounces =  90 grams.

Answer:

below

Step-by-step explanation:

impeachment: charging an official with a crime

cabinet: a group of advisors to the president

vested: guaranteed as a legal right

pardon: a release from punishment

Answer:

I believe she spent $150 for the first three months.

The hidden question i think is how many minutes did gloria spend in total OR how many packages did gloria need to buy. sorry i haven't done hidden questions in a long time.  

Answer:

That amount is 6 STUDENTS out of 24 students.

Step-by-step explanation:

Please see the attached files for more information.

Final answer:

To calculate the amount representing 25% of the 24 students Kaitlyn sampled, an equation using equivalent fractions and cross-multiplication is set up. The equivalent fractions are 25/100 and x/24. After cross-multiplying and solving for x, we find that 6 students (x) raised more than a certain amount for the charity.

Explanation:

If Kaitlyn wants to make the statement that 25% of the 24 students she sampled raised over a certain amount for the charity, we would need to determine what number of students that percentage represents. To calculate this, we use the phrase “part over total, times one hundred, equals percent.” Applying this to Kaitlyn's situation, we would set up an equation using equivalent fractions and then cross-multiply to find the part.

For the equivalent fraction, we have 25/100 (since 25% is the same as 25/100) and we let the part be x/24 (where x is the number of students who raised over a certain amount). The equation would then be 25/100 = x/24.

By cross-multiplying, we have 25 * 24 = 100 * x, which simplifies to 600 = 100x. Therefore, after dividing both sides of the equation by 100, we find that x = 6. Thus, Kaitlyn is saying that 6 out of the 24 students raised more than a certain amount for the charity.

Answer:

the answer is 15inches

Step-by-step explanation:

if the width is 10 inches and it is a rectangle it will have two sets of parallel lines and so you would do 50-20=30 and the 30 would be divided by 2 to give 15

[tex]50-20=30\\30/2=15[/tex]

Answer:

OD. 15 inches

Step-by-step explanation:

Formula for Perimeter of rectangle is given as:

[tex]P = 2(l + w) \\ \therefore \: 50 = 2(l + 10) \\ \therefore \: \frac{50}{2} = (l + 10) \\ \therefore \: 25 = (l + 10) \\ \therefore \:l = 25 - 10 \\ \therefore \:l = 15 \: inches[/tex]

Answer:

61.69?

Step-by-step explanation:

Are you asking what 31% of 119 is? If so, then the answer would be 61.69.

Because (119)0.31=61.69

(To make a percent, you take a decimal out of 1, and multiply. 0.31 would be 31, because we would multiply it by 100, becuase you can only get to 100%. Then you woukd do the opposite, reverse it by dividing by 100. Which then, you would get 0.31)

Hope that helped.

Final answer:

Using the Empirical Rule and the given mean and standard deviation, we find that less than 1% of American women have shoe sizes no more than 3.89.

Explanation:

The student has asked about the percentage of American women who have shoe sizes no more than 3.89, given that the distribution of shoe sizes is bell-shaped, with a mean of 8.36 and a standard deviation of 1.49. Using the Empirical Rule, we know that around 68% of data falls within one standard deviation of the mean, approximately 95% within two standard deviations, and over 99% within three standard deviations.

To find the percentage in this case, we calculate the number of standard deviations 3.89 is from the mean. This number is (8.36 - 3.89) / 1.49 ≈ 3 standard deviations.

Since more than 99% of the distribution lies within three standard deviations from the mean, it is reasonable to infer that more than 99% of American women have shoe sizes larger than 3.89, which means less than 1% will have shoe sizes no more than 3.89.

Answer:

24$

Step-by-step explanation:

if the price is 120$ then 10%of its price is 12 $

the discount was 80% so,

120$-12$*8 = 120 -96 = 24$

Step-by-step explanation:

$24

Answer:

rays AB and AE

Step-by-step explanation:

You can clearly see on the diagram that these two rays make up line BE, forming a straight 180 degree line.

Hope it helps!

Answer:

The answer is AB and AE

Step-by-step explanation:

took the test on edge

Answer:

1. a=1 b=9 c=20

(x+5) (x+20)

2. a=1 b=2 c=-8

(x-2)(x+4)

Step-by-step explanation:

When you use the box method, follow these steps (only usable when a=1)

(i'll be using x^2+9x+20 as an example)

be sure to understand that the formula is ax^2+bx+c

1. the top left corner is a, so put x^2

2. the bottom right is the c, or the y intercept. that would be 20 when using x^2+9x+20

3. find 2 numbers that when multiplied equal c and when added equal b. in this problem, 4(5)=20 and 4+5=9, so 4 and 5 belong in the remaining 2 boxes. make sure to add the x after each term, since these terms are b.

4. find to common term in each row of the box (x^2 and 4x share x, and 5 and 20 share 5) and then the common terms in the columns (x^2 and 5x share x and 4 and 20 share 4)

this should give you (x+4)(x+5)

hope this helps!

Answer:

Step-by-step explanation:

The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).

circle diameter radius

A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)

Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).

The circumference of a circle is found using this formula:

C=π⋅dorC=2π⋅r

x is equal to 20. hope this helped :)