Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by ten . (2 points) twenty-one pi divided by ten ; negative pi divided by ten eleven pi divided by ten ; negative nine divided by ten twenty-one pi div

Answers

Answer 1

Answer:

The two angles coterminal with π/10 are 21π/10 and -19π/10

Step-by-step explanation:

To find a two angles that are coterminal with π/10, we add and subtract 360°(that is 2π) from π/10.

So, the first angle coterminal with π/10 is

A = π/10 + 2π

taking the L.C.M which is 10, we have

A = (π + 20π)/10

A = 21π/10

The second angle coterminal with π/10 is

B = π/10 - 2π

taking the L.C.M which is 10, we have

B = (π - 20π)/10

B = -19π/10

So the two angles coterminal with π/10 are 21π/10 and -19π/10


Related Questions

please simplify this

Answers

Answer:

root 10

Step-by-step explanation:

if f(x) = 3x^2-2x+4 and g(x)=5x^2+6-8 find (f+g)(x)

Answers

Answer: 8x²+4x-4

Step-by-step explanation:

(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

3x²-2x+4+5x²+6x-8                                  [combine like terms]

8x²+4x-4

What is the median of the data set?

Answers

The answer would be 32. If you write out all the numbers and cross them off on both sides you end up with 30 and 34. To get the median you add these numbers together and divide by 2!

Mary has $311.75 to convert into yen. The currency exchange she is using charges a surcharge of 6% when converting currency. About how many more yen will Mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate?

Answers

Answer:

¥1,512.49

Step-by-step explanation:

Here is the complete question:

The exchange rate between non-fixed currencies continually fluctuates. The chart below shows the exchange rate of the US dollar to the Japanese yen over the course of six days.

Day

$:¥

Monday

1:88.6122

Tuesday

1:90.8305

Wednesday

1:87.5507

Thursday

1:91.2323

Friday

1:92.7120

Saturday

1:89.4477

Mary has $311.75 to convert into yen. The currency exchange she is using charges a surcharge of 6% when converting currency. About how many more yen will Mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate?

Solution:

Of all the days of the week, the most favorable exchange rate day is Friday where the exchange rate is ¥92.7120 and the lease favorable exchange rate day is on Wednesday where the exchange rate is ¥87.5507.

If Mary converted the currency, she will receive only 94% of her money excluding 6% surcharge.

Favorable day(Friday)= ($311.75) x (92.7120/1) x 0.94

=¥27,168.788

Least Favorable day(Wednesday) =($311.75) x (87.5507) x 0.94

=¥25,656.294

The difference between most favorable day and least favourable day = ¥27,168.788 - ¥25,656.294

= ¥1,512.49

Answer:

¥1,513

Step-by-step explanation:

Two numbers are in the ratio 3:2. if 5 subtracted to each
the new ratio becomes 2:3 find the numbers.
> Solution​

Answers

Answer:

3 and 2

Step-by-step explanation:

The ratio of the 2 numbers = 3 : 2 = 3x : 2x ( x is a multiple )

When 5 is subtracted from both , that is

3x - 5 : 2x - 5 = 2 : 3

Expressing the ratio in fractional form

[tex]\frac{3x-5}{2x-5}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3(3x - 5) = 2(2x - 5) ← distribute both sides

9x - 15 = 4x - 10 ( subtract 4x from both sides )

5x - 15 = - 10 ( add 15 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

Thus the 2 numbers are

3x = 3(1) = 3 and 2x = 2(1) = 2

Can somebody explain this to me and the answer I don’t get this at all

Answers

Answer:

a)~5572.45 (cm^3)

b)~1519.76 (cm^2)

Step-by-step explanation:

A volleyball has a diameter d = 22 cm

=> Its radius r is r = d/2 = 22/2 = 11 cm

a) Its volume is calculated by:

V = (4/3) x pi x r^3

with p = ~3.14 and r = 11 cm

=> V = (4/3) x 3.14 x 11^3 = ~5572.45 (cm^3)

b) Its surface area is calculated by:

A = 4 x pi x r^2

with p = ~3.14 and r = 11 cm

=> A = 4 x 3.14 x 11^2 = ~1519.76 (cm^2)

A recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, how much flour is needed?

Answers

Answer:

3 and 5/12

Step-by-step explanation:

To find how much flour you need, subtract how much sugar you need from how much total you need of sugar and flower. To do this, turn both numbers into improper fractions. This means 3 and 2/3 turns into 11/3 as there are 3 thirds per whole, and there are three wholes plus the 2 thirds, equaling 11/3. The 1/4 is already an improper fraction, so you can move on.

Now you just covert them to have the same denominator by multiply 11/3 by 4 on top and bottom and 1/4 by 3 on both the top and bottom to get 44/12 and 3/12. Now you just subtract 44/12-3/12 and get 41/12. Made into a mixed number that is 3 and 5/12.

The recipe will require three and five-twelfths (3 5/12) fraction cups of flour.

What are fractions?

A fraction is a portion of a whole or, more broadly, any number of equal pieces.

It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.

Fractions are of two types:

Proper fraction: Where numerator < denominator. Improper fraction: Where numerator > denominator. These fractions are written in mixed form also.

How to solve the question?

In the question, we are informed that a recipe calls for a total of 3 and two-thirds cups of flour and sugar.

We are asked if the recipe calls for One-fourth cup of sugar, then how much flour is needed.

We suppose the quantity of flour required to be x cups.

We know the quantity of sugar required = One-fourth cup.

This can be written as a fraction = 1/4 cup.

We know the total sugar and flour is three and two-thirds cups.

This can be written as a fraction = 3 2/3 cup = 11/3 cup.

Now, we know quantity of sugar + quantity of flour = total quantity

or, 1/4 + x = 11/3

or, x = 11/3 - 1/4 = (44 - 3)/12 = 41/12 = 3 5/12.

Therefore, the recipe will require three and five-twelfths (3 5/12) fraction cups of flour.

Learn more about fractions at

https://brainly.com/question/11562149

#SPJ2

Abby earns $7 per hour working as a cashier at a cafe. She earned $ blank in a week in which she worked 28 hours. She earned $ blank in a month which she worked 112 hours.

Answers

Answer:she earned 196$ in a week in which she worked 28 hours. she earned 784$ in a month which she worked 112 hours.

196$ and 784$ are your answers

Step-by-step explanation:

Which of the following are possible side lengths of a triangle? (select all that apply) a. 1, 1, 2 b. 3, 4, 5 c. 5, 5, 11 d. 7, 8, 12 e. 4, 4, 4 f. 4, 8 ,13

Answers

Three Answers:

Choice B

Choice D

Choice E

=================================================

Explanation:

Use the triangle inequality theorem. This is the idea where adding any two sides must lead to a result larger than the third side; otherwise, a triangle is not possible. I recommend cutting out strings of paper of these lengths to confirm that you can make a triangle or not.

----------------------------------

For choice A, a triangle is not possible since the first two sides add to 1+1 = 2, but this isn't larger than the third side of 2 units. All we can do really is just form a straight line and not a triangle. We can rule choice A out.

----------------------------------

Choice B is a triangle. Specifically it is a 3-4-5 right triangle that is famous with the pythagorean theorem. Note how...

3+4 = 7 is larger than 54+5 = 9 is larger than 33+5 = 8 is larger than 4

so adding any two sides of this triangle leads to the sum being larger than the third remaining side. Choice B is one of the answers.

----------------------------------

Choice C is not a triangle. We have 5+5 = 10 but that isn't larger than 11. We can rule this out.

----------------------------------

Choice D is a triangle since

7+8 = 15 is larger than 127+12 = 19 is larger than 88+12 = 20 is larger than 7

any two sides sum to a value larger than the third side

----------------------------------

Choice E is a triangle. We have an equilateral triangle with all sides the same length, and all angles the same value (60 degrees). This is another answer.

----------------------------------

Choice F is similar to choice C. We have the first two sides add to something smaller than the third side (4+8 = 12 is smaller than 13). We can rule this out.

expand the following 4 (x - 1)

Answers

Answer:

4x - 4

Step-by-step explanation:

4 × x = 4x

4 × -1 = -4

4x - 4

Answer:

4x-4

Step-by-step explanation:

4(x-1) 4*x-1*44x-4

Gavin combines 32 ounces of water and 7.15 ounces of lemon juice in a pitcher to make lemonade. Which is the
most reasonable estimate for the amount of liquid in the pitcher?
39 ounces
42 ounces
O 45 ounces
47 ounces

Answers

Answer:

Estimated amount of liquid in the pitcher = 39 ounces (Approx)

Step-by-step explanation:

Given:

Amount of water = 32 ounces

Amount of lemon juice = 7.15 ounces

Find:

Estimated amount of liquid in the pitcher

Computation:

Estimated amount of liquid in the pitcher = Amount of water + Amount of lemon juice

Estimated amount of liquid in the pitcher = 32 ounces + 7.15 ounces

Estimated amount of liquid in the pitcher = 39.15 ounces

Estimated amount of liquid in the pitcher = 39 ounces (Approx)

please hellp please helllp​

Answers

Answer:

a) y = [tex]\frac{7}{17}[/tex]

b) x = 4

Step-by-step explanation:

a) [tex]\frac{3y+2}{5} =4y-1[/tex]

3y + 2 = 20y - 5

2 = 20y - 3y - 5

2 = 17y - 5

2 + 5  = 17y

7 = 17y

y = [tex]\frac{7}{17}[/tex]

b) x² + 5 = 21

x² = 21 - 5

x² = 16

x = √16

x = 4

Check the attachment... hope it helps :)

x= +4 or -4

y= 7/17

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

x^2 - 3x + 9/4 = 5 + 9/4.

Step-by-step explanation:

To find what to add to both sides to make the equation a square, you need to do (b / 2)^2.

In this case, b = -3.

(-3 / 2)^2

= 9 / 4.

x^2 - 3x - 5 = 0

x^2 - 3x = 5

x^2 - 3x + 9/4 = 5 + 9/4.

Hope this helps!

Determine whether the given source has the potential to create a bias in a statistical study: An article in Journal of Nutrition noted that chocolate is rich in flavonoids. The article reports that "regular consumption of foods rich in flavonoids may reduce the risk of coronary heart disease." The study received funding from the candy company, and the Chocolate Manufacturers Association. Identify and explain at least one source of bias in the study describe. Then suggest how the bias might have been avoided?

Answers

Answer: The source has the potential to create bias because it was sponsored by companies that will benefit from it. This might have been avoided by stoping these companies from sponsoring the study.

Explanation:

A study is biased if its results or process is not objective, which means they have been influenced by a specific perspective or interest, and the results are inaccurate. One of the factors that causes bias is the participation of entities with economic interests in the study.

This occurs in the case described because a candy and a chocolate company sponsored the studies, and therefore results might be modified to benefit the companies. According to this, the study has the potential of being biased, and the main source is the fact it was sponsored by companies with interests.

Besides this, this can be avoided if the study does not accept sponsoring by companies with specific interests. In this way, the study will be objective, and the results will not be influenced, which means the information provided by the study would be accurate and credible.

Please help! Having a hard time with these, appreciated if you do :)

Answers

Answer:

Hey there!

Here's the first question.

Let l be the length, and w be the width.

Thus, we have 5w=l+4, or 5w-4=l.

The perimeter is 76, so 2l+2w=76.

We see that l=5w-4, so substitute 5w-4 for l.

2(5w-4)+2w=76

10w-8+2w=76

12w-8=76

12w=84

w=7

Thus, the length is 5(7)-4, or 31.

Option C is correct.

Here is the second question)

Let x be the larger angle and y be the smaller angle.

Supplementary angles add to 180 degrees.

x+y=180

x=3y

Similar to the first problem change all the x's into 3y's

3y+y=180

4y=180

y=45

x=135

So the two angles are 45 and 135 and they add to 180 degrees (Choice D)

Hope this helps :)

This is an example of a ____transformation

Answers

Answer: Translation

Step-by-step explanation:

The shape its self has only shifted to the right. It hasn't been rotated or reflected.

Answer:

Translation

Step-by-step explanation:

defintion of translation: the process of moving something from one place to another.

The shpae is being moved to the right as shown by the arrow.

The graphs below have the same shape.What is the equation of the red graph ?

Answers

Answer:

B. f(x) = 1 - x²

Step-by-step explanation:

Since we are dealing with only vertical movement, all we change is the constant. Since the red graph is up one from the reflected parent graph, we know our graph is f(x) = -x² + 1 or f(x) = 1 - x².

Answer:

B. F(x) = 1 - x^2

Step-by-step explanation:

The red graph is the blue graph translated 3 units down. It has a vertical translation of -3 units.

F(x) = G(x) - 3

F(x) = 4 - x^2 - 3

F(x) = 1 - x^2

PLZ HELP! QUICK! WILL MARK BRAINLIEST!!! 20 POINTS!!! A portion of the Quadratic Formula proof is shown. Fill in the missing statement.

Answers

Answer:

D.

Step-by-step explanation:

After the third step, take the square root of both sides.

Third Step:

[tex](x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}[/tex]

Thus, the fourth step is:

[tex]\sqrt{(x+\frac{b}{2a})^2}=\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]

The left side cancels:

[tex](x+\frac{b}{2a})=\pm\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]

D.

Answer:

x + [tex]\frac{b}{2a}[/tex] = ±[tex]\sqrt \frac{b^{2} - 4ac }{4a^{2} }[/tex]     aka choice D

Step-by-step explanation:

Graphically, a point is a solution to a system of two inequalities if and only if the point
o lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality
O lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality
O lies in the shaded regions of both the top and bottom inequalities
x does not lie in the shaded region of the top or bottom inequalities.
Intro
Done

Answers

Answer:

Lies in the shaded regions of both the top and bottom inequalities.

Step-by-step explanation:

The point of solution for BOTH systems of inequalities must work for both equations. Therefore, the point has to lie in both top and bottom shaded regions or it won't work for both, but just one.

Answer:

C: Lies in the shaded regions of both the top and bottom inequalities.

Step-by-step explanation:

Hope this helps!

A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit the plants produced. 2 2-column tables with 5 rows. For table 1, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled Height of tree (inches) with entries 50, 52, 36, 35, 50. For table 2, column 1 is labeled Fertilizer (ounces) with entries 175, 192, 130, 128, 184. Column 2 is labeled amount of fruit produced (pounds) with entries 112, 115, 87, 85, 112. The scientist graphed the two sets of data and found that a positive correlation exists in each set. Which statement explains whether there is a relationship between the height of the tree and the amount of fruit produced. Although fertilizer is in both data sets and is positively correlated, only a weak correlation can exist between tree height and fruit yield. Although fertilizer is in both data sets and is positively correlated, it is impossible for any correlation to exist between tree height and fruit yield. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is likely that tree height and fruit yield are negatively correlated. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.

Answers

Answer:

d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.

Step-by-step explanation:

The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc

As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated

Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased

Therefore the option d is correct

Answer:

D

Step-by-step explanation:

I got it right on the test.

Trust me

The alphabet of a fictionary tribe consists of three letters: A, O and M. Any combination of no more than four of these letters is considered a word. How many words are does this tribe's language have?

Answers

Answer:

120 words

Step-by-step explanation:

There are only three possible letters, assuming words can be 1, 2, 3 or 4 letters long:

The number of 1 letter words is 3

The number of 2 letter words is 3² = 9

The number of 3 letter words is 3³ = 27

The number of 4 letter words is 3⁴ = 81

The total number of possible words is:

[tex]3+9+27+81 = 120\ words[/tex]

This tribe's language has 120 words.

Which triangle correctly shows that the side opposite the larger angle is the larger side?

Answers

Answer:

The answer is C

I turned it in and it was correct

Step-by-step explanation:

Please mark brainliest

Answer:

c

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The simplest form of the expression -2x2(x – 5) + x(2x2 – 10x) + x is .

Answers

Answer:

x

Step-by-step explanation:

-2x²(x – 5) + x(2x² – 10x) + x

The simplest for of the above equation can be obtained as follow:

-2x²(x – 5) + x(2x² – 10x) + x

Rearrange

x(2x² – 10x) – 2x²(x – 5) + x

Factorise

x.2x(x – 5) – 2x²(x – 5) + x

2x²(x – 5) – 2x²(x – 5) + x

Carry out the minus (–) operation

=> x

Therefore, the simplest form of expressing -2x2(x – 5) + x(2x2 – 10x) + x is x.

How can we use a graph to tell that two populations are equal?

Answers

Answer: You can see if the graphs of the two populations meet at a given point.

Step-by-step explanation:

If we have a graph of population vs time

such that y = population and x = time, two different populations will be exactly the same for a given time if we have an intersection of the two graphs. The value (x0, y0) where the graphs cross is the time = x0 and the population y0, this means that both populations have y0 individuals at the same time.

12
y= x2 + x-2
x+ y=1
If (x, y) is a solution of the system of equations
above, which of the following is a possible value of
xy?
A) 7
B 1
C) -1
D) -12​

Answers

Answer:

D,xy=-12

Step-by-step explanation:

y=x²+x-2

x+y=1

or x+x²+x-2=1

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x+3)=0

(x+3)(x-1)=0

either x=-3

or x=1

when x=-3

x+y=1

-3+y=1

y=1+3=4

one solution is (-3,4)

xy=-3×4=-12

if x=1

1+y=1

y=0

second solution is (1,0)

xy=1×0=0

4. A cricketer scores the following runs in eight innings:
58, 76, 40, 35, 46, 45, 0, 100.
Find the mean score.​

Answers

Answer:

i believe the answer would be 50

Step-by-step explanation:

to find the mean you add all of the numbers together and divide it by the amount of numbers given.

For example, in this problem, you would add:

58+ 76+ 40+ 35+ 46+ 45+ 0+ 100

which would equal 400

then you you divide 400 by 8 because there are 8 numbers and it gives you the answer of 50

(hope this helped <33)

Answer:

           50

Step-by-step explanation:

[tex]\dfrac{58+76+40+35+46+45+0+100}{8}=\dfrac{400}8=50[/tex]

In this activity, you will find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wash.

Answers

Answer:

16

Step-by-step explanation:

75/5 is 15 and in order to start making a profit than you have to wash 16 cars

hope this helps

Answer:

Step-by-step explanation:

The idea is to find out after what number car washed will they begin to make money. That means that this is an inequality. If they charge $5 per car, and the number of cars is our uknown, then the expression for that charge is 5x. If they need to make more than what they spent on setting up, they want to make more than $75, which looks like this: > 75. Putting that together:

5x > 75 and solving for x,

x > 15.

That means that they have to wash 15 cars to just break even and starting on the 16th car on up, they will see a profit.

NEED ANSWER ASAP! plz someone answer ASAP

Answers

Answer:

The value of c is 2

Step-by-step explanation:

p(x) = cx³ - 15x - 68

Since it's divisible by ( x - 4) that means when the value of ( x - 4) is substituted into the polynomial it leaves a remainder of zero that's no remainder.

x - 4 = 0

x = 4

Substitute it into the above expression

That's

c(4)³ - 15(4) - 68 = 0

64c - 60 - 68 = 0

64c = 60 + 68

64c = 128

Divide both sides by 64

c = 2

Hope this helps you

Answer:

h

Step-by-step explanation:

b

Construct an inscribed circle in triangle PQR by finding the incenter of the triangle.

Answers

Answer:

Check it below

Step-by-step explanation:

Hello!

By definition, the intercept of the 3 bisectors, within a triangle is the Incenter. So let's get started, by tracing three bisectors.

In the triangle PQR::

Use a compass, open its legs with a little more than half of [tex]\overline{PQ}[/tex]  . Place the needle point in the vertex of P. Mark!Do the same, placing the needle point in Q, following [tex]\overline{QP}[/tex] direction. MarkRepeat it with the other triangle's line segment, namely:

[tex]\overline {QR},\:\overline{PR}[/tex]

   4.Trace with a ruler, from each intersection point a line. You'll trace three lines then.

    5. Place the compass' needle point in this intersection point, (inside the triangle) with a hinge up to the triangle side, draw the circle inscribed.

 

Answer:

edg but few yrs later

Step-by-step explanation:

Can someone help me with this question please.....

Answers

Answer:

9g/cm3 (g/ml)

Step-by-step explanation:

d(roe)=m/v=63g/7cm3=9g/cm3(g/ml)

d(roe)=m/v=117g/13cm3=9g/cm3(g/ml)

Step-by-step explanation:

We can get the density either by converting both the masses and the volumes or we solve them like like that using the formula Density = P = Mass/Volume. After converting both mass and volume, your unit will be in kg/m^3..........Without converting, your unit will be in g/cm^3
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