Divide. Write the quotient in lowest terms.

2 1/2 divided by 2 2/3

Answer:

sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]

Step-by-step explanation:

Given that,

cos θ = [tex]\frac{\sqrt{3} }{3}[/tex]

From the trigonometric functions,

cos θ = [tex]\frac{adjacent}{hypotenus}[/tex]

⇒ adjacent = [tex]\sqrt{3}[/tex], and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj/^{2}[/tex] + [tex]/opp/^{2}[/tex]

[tex]/3/^{2}[/tex] = [tex](\sqrt{3} )^{2}[/tex] + [tex]x^{2}[/tex]

9 = 3 + [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 9 - 3

   = 6

x = [tex]\sqrt{6}[/tex]

Thus, opposite side = [tex]\sqrt{6}[/tex]

So that,

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{\sqrt{6} }{3}[/tex]

Therefore,

sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]

Answer:

3.6 = a

Step-by-step explanation:

5.4 = a - ( -1.8)

5.4 = a + 1.8

5.4 - 1.8 = a

3.6 = a

Given:

A pizza with one topping costs $11. Each additional topping costs $2  more.

To find:

The recursive formula  and an explicit formula for the  situation.

Solution:

The sequence of costs of pizza is

11, (11+2), (11+2+2), ...

11, 13, 15, ... are in A.P.

Here,

First term: a=11

Common difference: d=2

Explicit formula of an A.P. is

[tex]a_n=a+(n-1)d[/tex]

where, a is first term and d is common difference.

[tex]a_n=11+(n-1)2[/tex]

[tex]a_n=11+2n-2[/tex]

[tex]a_n=9+2n[/tex]

Therefore, the explicit formula for the  situation is [tex]a_n=9+2n[/tex].

Recursive formula of an A.P. is

[tex]a_n=a_{n-1}+d[/tex]

Where, [tex]a_1[/tex] is first term and d is common difference.

[tex]a_n=a_{n-1}+2[/tex]

Where, [tex]a_1=11[/tex].

Therefore, the required recursive formula is [tex]a_n=a_{n-1}+2[/tex] where [tex]a_1=11[/tex].

Answer:

It's A

Step-by-step explanation:

the one above me is incorrect it's "A"

Answer:

A

Step-by-step explanation:

hi

Answer: y = 5/14x + 5/7

Step-by-step explanation: write in slope intercept form y =mx + b

Answer:

26.5

Step-by-step explanation:

Because the sales is $530 and the commission rate is 5%, the commission would be 5% of the sales, which would be $26.5

5:1,25=4

1/4 teacher plus for echipa studenta.

------> The Answer Is C <------

Hope this helps have a good day :D

Answer:

-16 / 2

Step-by-step explanation:

You have 16 negative tiles and you are dividing it into 2.

Answer:

It is -16 / 2

Step-by-step explanation:

Please mark brainliest.

Answer:

Please do step by step)

hope I gave

Answer:

nope ❎ ❎ ❎ ❎ ❎ ❎ ❎ ❎

Answer:

179.48

Step-by-step explanation:

calculator

Answer:

44.87

Step-by-step explanation:

Answer:

3.75 or 3 3/4

Step-by-step explanation:

Answer:

3.75 or 3 3/4

Step-by-step explanation:

2 1/2 or 2.5 x 1 1/2 or 1.5 is 3 3/4 or 3.75

Hope it helps!

6x - 8 = 2x - 10

This is the equation

Answer:

x = 6. six friends can go.

Step-by-step explanation:

79.50 - 19.50 = 60.00

60/10 = 6 people

The number of people that can go to the amusement park is six.

The information in the question can be represented with this equation:

Total amount the friends have = cost of parking + (cost of ticket x number of friends)

$79.50 = $19.50 + $10 × x

$79.50 = $19.50 + $10x

The equation that would be used to solve for the number of friends that can go to the amusement park, the equation that would be used is: $79.50 = $19.50 + $10x

Combine similar terms

$79.50 - $19.50 =  $10x

$60 = $10x

Divide both sides of the equation by 10

$60 / $10 = x

x = 6

A similar question was answered here: https://brainly.com/question/20471133?referrer=searchResults

Answer:

option a is correct answer

Answer:

maybe this well help

Step-by-step explanation:

When you multiply a decimal by a power of 10, simply move the decimal place to the right as many places as there are 0s in the power of 10. When you divide a decimal by a power of 10, simply move the decimal place to the left as many places as there are 0s in the power of 10.

Answer:

You can convert the power of 10 to a decimal and multiply it by 0.502, or you can move the decimal place of 0.502 to the left depending on the value of the exponent:

0.502 x 10^2=0.00502 → 10^2 is equal to 100. So, 0.502 x 100=0.00502 OR 10 is raised to a power of 2, so move the decimal place 2 times to get 0.00502.

0.502 x 10^3=0.000502 → 10^3 is equal to 1000. So, 0.502 x 1000=0.000502 OR 10 is raised to a power of 3, so move the decimal place 3 times to get 0.000502.

Hope you understand and that this helps with your question! :)

Answer:

I believe the y is parallel :)))))))))

Answer:

35 degrees

Step-by-step explanation:

70 divided by 2 is 35.

And both sides are equal to each other bc the lines are parallel.

Answer:

value preferred stock for $65,250 cash

Answer:

Byeee again haha

Step-by-step explanation:

Yea I'm answering this question again

A specific moderator deleted a lot of my answers almost all at once and for the reason that I didn't answer the question the people were asking, it's pretty weird as all the questions were either free points or very extremely straightforward questions like "what dynasty started the great wall" and usually when a moderator sees those they delete them but they just deleted my answer for almost no reason haha

Well if u see this then have a great day!

Answer:

ok :)

Step-by-step explanation:

Answer:

Graph a

Step-by-step explanation:

the slope is proportional to the data

Graph A depicts the situation described above. Thus, option A is correct.  

The link across lines as well as points is described by a graph, which is a mathematical description of a connection. A graph is made up of certain points and connecting lines. It doesn't matter how long the lines are or where the terminals are located.

The population of fish in a pond grows slowly for the first few years after it is stocked, then levels off. A pollutant kills off almost all of the fish 20 years after stocking, then the population begins to grow again when the remaining fish reproduce which is represented in graph A.

If every pair of datasets is connected in the same fashion, by multiplying by a factor, then the connection is proportional. The slope of a line is the slope of the regression. Like the ratio constant, this slope shows how rapidly a quantity is rising or falling.

Therefore, option A is the correct option.

Learn more about Graph, here:

https://brainly.com/question/17267403

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Answer:

its is the 3rd one lol

Answer:

It would be the fourth option, -4/3 p + (-2/5)

Step-by-step explanation:

Notice that there's a positive sign followed by a negative sign, when we simplify this it becomes a negative sign. So simplified, this expression would be -4/3 p - 2/5, which makes it the closest to the given expression.

EDIT:

I just realized that there's more than one option, hence the instruction. So I looked through the options again and I believe the other answer would be -2/5 - 4/3 p (second option) -- the fractions only switched places unlike the other expressions where the negative/positive signs aren't equivalent to the given fraction.

Answer: A (1)

Step-by-step explanation:

The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number

A

49/1=49

62/1=62

80/1=80

This is an option

B

49/2=24.5

62/2=31

80/2=40

This is not an option, 24.5 is not a whole number

C

40/3=16.333(repeating)

This is not an option, you are not given a whole number

D

49/4=12.25

This is also not an option, 12.25 is not a whole number

Answer

Our only possible answer is A-1

Answer:

y=3/2x+4

Step-by-step explanation:

I am pretry sure

Answer:

-315 + 100 & -230 + 15

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

i just took the test

Answer:

(A) the center of dilation is at (-2,-1)

(E) the scale factor is 2

The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The ratio of the lengths of corresponding sides of triangles ABC and DEF.

AB and DE are corresponding sides, so:

AB/DE = (distance between A and B) / (distance between D and E)

= 2.5 / 5

= 0.5

BC and EF are corresponding sides, so:

BC/EF = (distance between B and C) / (distance between E and F)

=1.118 / 2.236

= 0.5

AC and DF are corresponding sides, so:

AC/DF = (distance between A and C) / (distance between D and F)

AC/DF = 2.236 / 4.472

= 0.5

We see that all three ratios are equal to 0.5.

Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.

To learn more on Triangles click:

https://brainly.com/question/2773823

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