find polar coordinates of the point that had rectangular coordinates

Answer:

[tex]x=4, y=8[/tex]

Step-by-step explanation:

step 1

Find the value of y

we know that

In the right triangle of the figure

[tex]cos(30\°)=\frac{4\sqrt{3}}{y}[/tex]

Remember that

[tex]cos(30\°)=\frac{\sqrt{3}}{2}[/tex]

so

[tex]\frac{\sqrt{3}}{2}=\frac{4\sqrt{3}}{y}[/tex]

Simplify

[tex]y=8\ units[/tex]

step 2

Find the value of x

In the right triangle of the figure

[tex]sin(30\°)=\frac{x}{8}[/tex]

Remember that

[tex]sin(30\°)=\frac{1}{2}[/tex]

so

[tex]\frac{1}{2}=\frac{x}{8}[/tex]

[tex]x=4\ units[/tex]

1. The variables are “money sold total ($10)” and “money kept by student council($5)”

2. The “money sold total ($10)” can be represented by T. (For Total)

The “money kept by student council($5)” can be represented by K. (for kept)

3. As T increases, K increases.

4. K= t/2

Good luck!

The variables in this problem are the amount of candy sold and the amount of money student council keeps. They are related by the equation m = 0.5c. This equation allows us to find out the amount of money student council will make for any amount of candy they sell.

The variables in this problem are the amount of candy sold and the amount of money student council keeps.

We can represent these variables with the letters 'c' for candy sold and 'm' for money kept by student council.

The relationship between the variables is that for every $10 worth of candy sold, student council keeps $5. So, the amount of money student council keeps is half of the amount of candy sold.

We can express this relationship with the equation m = 0.5c.

This equation allows us to find out the amount of money student council will make for any amount of candy they sell.

For example, if they sell 20 worth of candy, we can substitute c = 20 into the equation and solve for m: m = 0.5(20) = 10.

Therefore, student council will make $10 for selling $20 worth of candy.

Answer:

The numbers are 44 and 46

Step-by-step explanation:

Let

x, x+2 ----> the two consecutive positive even integers

we know that

[tex](x+x+2)^{2} =4,048+x^{2} +(x+2)^{2} \\ \\(2x+2)^{2} =4,048+x^{2} +x^{2}+4x+4\\ \\4x^{2}+8x+4=2x^{2}+4x+4,052\\ \\2x^{2} +4x-4,048=0[/tex]

Solve the quadratic equation using a graphing calculator

The solution is x=44

see the attached figure

[tex]x+2=44+2=46[/tex]

therefore

The numbers are 44 and 46

Subtract 4x from both sides

24 = 5x + 1 - 4x

Simplify 5x + 1 - 4x to x + 1

24 = x + 1

Subtract 1 from both sides

24 - 1 = x

Simplify 24 - 1 to 23

23 = x

Switch sides

x = 23

Answer:

Step-by-step explanation:

Subtract 4x from both sides

24 = 5x + 1 - 4x

Simplify 5x + 1 - 4x to x + 1

24 = x + 1

Subtract 1 from both sides

24 - 1 = x

Simplify 24 - 1 to 23

23 = x

Switch sides

x = 23

14,  she will be 14 when she has more

Answer:

sebastian will be 14 when he gets more money than lorena

Answer:

$1441.90

Step-by-step explanation:

Formula-

A = P (1 + r/n)^(nt)

A= 1250(1 + 8/1)^(1*.065)

Answer:

2102.53

Step-by-step explanation:

1250e (0.065)8

Answer:

1

Step-by-step explanation:

2%= 0.2

0.2*5= 1

When finding Percent of whole multiply.

To figure this out you must do a proportion. Typically you would do [tex]\frac{part}{whole}[/tex]

This means that you would set up your proportions like this:

[tex]\frac{x}{50} =\frac{2}{100}[/tex]

^^^you want to find 2% of 50, so 50 is the "whole" and x (what you are looking for) is the part. The reason there is the 100 is because % are always taken out of 100% , and therefore 100 is the "whole". 2 is on top of 100 because it is a "part" of 100

the next step is cross multiplication so you would get:

100x= (50*2) ---> 100x = 100

^^^you then solve this like a normal algebra equation to get x = 1

Hope this helped! Let me know if there is anything else I can do!

Answer: 121.5 pi in^3 or 381.7 in^3

Step-by-step explanation:

Volume of a cylinder = pi r^2(h)

Radius = 4.5 in, Height = 6 in

pi (4.5)^2(6)

pi(20.25)(6)

121.5 pi in^3 or 381.7 in^3

The exact volume of a cylindrical cake with a diameter of 9 inches and a height of 6 inches is 121.5π cubic inches.

The volume of a cylinder can be found using the formula V = πr^2h, where V stands for volume, r is the radius of the base of the cylinder, and h is the height of the cylinder. Given the diameter of the cake is 9 inches, the radius is half of that, which is 4.5 inches. Therefore, the exact volume of the cake is calculated as follows:

V = π × (4.5 )² ×2 × 6

Which simplifies to:

V = π × 20.25 ×2 × 6

So, the exact volume of the cake is:

V = 121.5π  in^3

It’s going to be 8 because you add all the toys together and divide that by the container number

Answer:

There will be 8 transportation toys

Step-by-step explanation:

So first you would all the toys up. Then divide it by 3.

6+4=10 + 6= 16 +8=24

24 / 3 = 8

Answer:

Then tan(x) = 4/3

Step-by-step explanation:

Given that we have a rectangle ABCD, we can affirm the following:

AD = BC = 4

AB = DC = 3

Now, we now that tan = Opposite Side / Adjacent Side

Then the opposite side to the angle x is AB = 4, and the adjacent side to angle x is DC = 3.

Then tan(x) = Opposite Side / Adjacent Side = 4/3 = 1,3333.

Answer: E

Step-by-step explanation:

B is correct. Hope I helped yah.

Answer:

The correct option is C) n= 11.

Step-by-step explanation:

Consider the provided equation.

[tex]n+1=4(n-8)[/tex]

Open the parentheses and apply the distributive property as shown:

Distributive property [tex]a(b+c)=ab+ac[/tex]

[tex]n+1=4n-32[/tex]

Now, isolate the variables by adding 32 and subtracting n on both the sides.

[tex]n+1-n+32=4n-32-n+32[/tex]

[tex]33=3n[/tex]

Now divide both the sides by 3.

[tex]\frac{33}{3}=\frac{3n}{3}[/tex]

[tex]11=n[/tex]

Hence the value of n is 11

Thus, the correct option is C) n= 11.

Answer: n=11 just took in on Engenuity

Step-by-step explanation:

Answer: x=21

Step-by-step explanation:

To solve for x you must first combine you like terms on each side of the equal sign. So you problem will become 8x+1=22+7x. Then get your x on one side and your numbers on the other by taking the one away from the right side and 1 away from 22. Then take away 7 from the left side to cancel it out. Then take 7x away from 8x to leave you with x. making your answer x=21

Answer:

Step-by-step explanation:

3x + 1 + 5x = 7 + 15 + 7x          combine like terms

(3x + 5x) + 1 = (7 + 15) + 7x

8x + 1 = 22 + 7x            subtract 1 from both sides

8x = 21 + 7x           subtract 7x from both sides

x = 21

Answer:

It all depends on how long you have the bike for if you have it for only 1 hour it will be $22 dollars. If you have it for 2 hours it will be $24 dollars.

[tex]\text{Hey there!}[/tex]

[tex]-1\frac{3}{5}\div\frac{2}{3}[/tex]

[tex]-1\frac{3}{5}=-\frac{8}{5}[/tex]

[tex]\text{Problem becomes:}-\frac{8}{2}\div\frac{2}{3}[/tex]

[tex]\text{Solve that, and you will get:}\frac{-4}{5}\div{\frac{3}{1}}[/tex]

[tex]-4\times1=-4[/tex]

[tex]5\times3=15[/tex]

[tex]\rightarrow =\frac{-4}{15}[/tex]

[tex]\boxed{\boxed{\boxed{\bf{Answer:\frac{-4}{15}}}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

First, we have to isolate the t, or keep it by itself, to solve. To do that, we need to move everything with t in it to on side.

-5 - 2t + 2t = 3t + 2t

The -2t and + 2t cross out, leaving us with t on one side, which is exactly what we want!

-5 = 5t

But t isn't alone yet. We need to get rid of its five. To do that, we need to use the same process: use the opposite symbol. In 5t, 5 is being multiplied by t. To get rid of, we need to divide 5. BUT the mega rule in algebra... what you do to one side you must do to the other, or else the equation would not be true anymore, so...

-5/5 = 5t/5

-1 = t

There's your answer! Hope this helps!

14+14= 28= 48-28= 20/2= 10

Answer:

(1), (3)

Step-by-step explanation:

5.  If m starts at 1, a geometric series has the form a₁ (r)ᵐ⁻¹.

If m starts at 0, a geometric series has the form a₀ (r)ᵐ.

Here, m starts at 0.  The first term, a₀, is 150.  The temperature is decreasing, so we're looking for an r < 1.  Therefore, the answer must be (1) 150 (0.85)ᵐ.

7.  A quadratic written in vertex form is:

y = a(x - h)² + k

We can find the vertex of the parabola using x = -b/(2a).

x = -12 / (2*3)

x = -2

f(-2) = 3(-2)² + 12(-2) + 11

f(-2) = -1

So the vertex (h, k) is at (-2, -1).

Therefore, the answer must be f(x) = 3(x + 2)² - 1

We can also show this by completing the square.

f(x) = 3x² + 12x + 11

f(x) = 3(x² + 4x) + 11

f(x) = 3(x² + 4x + 4) - 3(4) + 11

f(x) = 3(x + 2)² - 1

Answer: it is c

Step-by-step explanation:

[tex]d. \: 35m + 50 + 25 \\ \\ 1. \: 35m + (50 + 25) \\ 2. \: 35m + 75[/tex]

D. Y= - 4/3 x Rise over run

The equation of the line is:

  C.     [tex]y=\dfrac{-3}{4}x[/tex]

The line passes through the point (0,0) and (4,-3).

By using the two point formula to find the equation of the line.

i.e. any line passing through two points (a,b) and (c,d) is calculated by using the formula:

[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]

Here (a,b)=(0,0) and (c,d)=(4,-3)

Hence, the equation of line is calculated as follows:

[tex]y-0=\dfrac{-3-0}{4-0}\times (x-0)\\\\i.e.\\\\y=\dfrac{-3}{4}\times x\\\\i.e.\\\\y=\dfrac{-3}{4}x[/tex]

Hence, the correct answer is:  Option: C

Answer:

144 gold bars

Step-by-step explanation:

first you fine the area gold bars take up in cubic inches by multiplying the 3, 2, and 6 to get 36

once you have the space 1 gold bar takes up you divide the total space by that the total space is 5184 so you divide 5184 by 36 to get 144

Answer:

c. 144

Step-by-step explanation:

:)

Answer:

The graph in the attached figure

Step-by-step explanation:

step 1

Find the equation of the line into point slope form

The equation of the line is equal to

[tex]y-y1=m(x-x1)[/tex]

substitute the given values

[tex]y-1=(2/3)(x+2)[/tex]

step 2

To graph the line find the intercepts

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

[tex]y-1=(2/3)(0+2)[/tex]

[tex]y=(4/3)+1[/tex]

[tex]y=(7/3)[/tex]

The y-intercept is the point (0,7/3)

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

[tex]0-1=(2/3)(x+2)[/tex]

[tex]-1=(2/3)x+(4/3)[/tex]

[tex](2/3)x=-(4/3)-1[/tex]

[tex](2/3)x=-(7/3)[/tex]

[tex]2x=-7[/tex]

[tex]x=-7/2[/tex]

The x-intercept is the point (-7/2,0)

step 3

Plot the intercepts to graph the line

see the attached figure

Answer:

343 in^3

Step-by-step explanation:

The volume of a cube is found by V = s^3. Here s = 7. So the volume is 7*7*7 = 343 in^3.

Final answer:

The volume of a cube with an edge length of 7 inches is 343 cubic inches.

Explanation:

The volume of a cube is calculated by multiplying the length, width, and height of the cube. Since all sides of a cube are equal, we simply need to cube the length of one side.

In this case, the edge (length, width, and height) of the cube is 7 inches.

The volume of a cube with an edge length of 7 inches can be calculated as follows:

Therefore, the volume of the cube is 343 cubic inches.

Hope this helps 1/2x(27)z

Answer:

The correct answer is B. 0.0000135

Step-by-step explanation:

I just did the assignment :D

have a nice day <33

Answer:

All 4 four angles of the rectangle are 90°

Answer:

Opposite sides of a rectangle are the same length (congruent). The angles of a rectangle are all congruent (the same size and measure.) Remember that a 90 degree angle is called a "right angle." So, a rectangle has four right angles.

four- 90 degrees

Answer:

x=-3 10/16

Step-by-step explanation:

5x-9-21x-42=25 (opening parenthesis)

-16x-33=25

16x+58=0

x=-58/16=-3 10/16

Answer:

B

Step-by-step explanation:

Final answer:

The price of the shirt after including a $5 tax is represented by the expression 'g + 5', where 'g' is the original price of the shirt.

Explanation:

When calculating the price of an item after tax, you simply add the tax amount to the original price of the item. In this case, the original shirt price is represented by the variable g dollars, and a $5 tax is added to this price. Therefore, the correct answer to the question 'The price of a shirt with a $5 tax. The original shirt price is g dollars.' is g + 5.

[tex]\bf (\stackrel{x_1}{-14}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{12}~,~\stackrel{y_2}{18}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{18-(-10)}{12-(-14)}\implies \cfrac{18+10}{12+14}\implies \cfrac{28}{26}\implies \cfrac{14}{13}[/tex]

Answer:

28/26

Step-by-step explanation:

We can find the slope using the equation

y2-y1/x2-x1

We are give two points so lets plug them into the equation above

18-(-10)/12-(-14)

= 18+10/12+14

=28/26

Answer:

40

Step-by-step explanation:

Since she has a total of 200 pages and 5 days you would divide to get 40.