Mrs bell ha a 256 ounce bag of potting soil. What is the greatest number of 6 ounce pots she can completely fill with soil

Step-by-step explanation:

Let [tex]x = r\cos{\theta}[/tex] and [tex]y = r\sin{\theta}[/tex]. Substituting these into our equation, it becomes

[tex]\dfrac{r^2\cos^2{\theta}}{25} + \dfrac{r^2\sin^2{\theta}}{9} = 1[/tex]

or

[tex]9r^2\cos^2{\theta} + 25r^2\sin^2{\theta} = 225[/tex]

Let use the identity [tex]\cos^2{\theta} = 1 - \sin^2{\theta}[/tex] to express the equation in terms of sine only:

[tex]9r^2 - 9r^2\sin^2{\theta} + 25\sin^2{\theta} = 225[/tex]

which simplifies to

[tex]r^2(9 + 16\sin^2{\theta}) = 225[/tex]

Taking the square root and solving for r , we get the polar form of the equation as

[tex]r = \dfrac{15}{\sqrt{9 + 16\sin^2{\theta}}}[/tex]

Answer:

x = r\cos{\theta}x=rcosθ and y = r\sin{\theta}y=rsinθ

\dfrac{r^2\cos^2{\theta}}{25} + \dfrac{r^2\sin^2{\theta}}{9} = 1

25

r

2

cos

2

θ

+

9

r

2

sin

2

θ

=1

or

9r^2\cos^2{\theta} + 25r^2\sin^2{\theta} = 2259r

2

cos

2

θ+25r

2

sin

2

θ=225

Let use the identity \cos^2{\theta} = 1 - \sin^2{\theta}cos

2

θ=1−sin

2

θ

9r^2 - 9r^2\sin^2{\theta} + 25\sin^2{\theta} = 2259r

2

−9r

2

sin

2

θ+25sin

2

θ=225

which simplifies to

r^2(9 + 16\sin^2{\theta}) = 225r

2

(9+16sin

2

θ)=225

Taking the square root and solving for r ,

r = \dfrac{15}{\sqrt{9 + 16\sin^2{\theta}}}r=

9+16sin

2

θ

15

The 3 angles form the straight line AB. A straight line equals 180 degrees.

The 3 angles when added together need to equal 180:

2x + 65 + (x + 65) = 180

Simplify by combining like terms:

3x + 130 = 180

Subtract 130 from both sides

3x = 50

Divide both sides by 3

X = 50/3

X = 16 2/3 (16.66667 as a repeating decimal)

Now you have x if you need to solve all the angles replace x with its value and sole:

2x = 2(16 2/3) = 33 1/3

X + 65 = 16 2/3 + 65 = 81 2/3

Step-by-step explanation:

2x+65°+(x+65°)=180° ( sum of angle of straight angle )

3x+65°+65°=180°

3x=180°-130°

3x= 50°

now,

i) 2x=2*50=100°

ii) (x+65°) = 50+65 =115°

plz mark me brainiest and thanks

have a good day ahead...

(-_-)

Answer:

The difference between the height of the mountain and the depth of the trench is 8,271 ft.

Step-by-step explanation:

brainliest plz?

Answer:

x=30 degree is the answer

Answer:

that's cheating, still your indian bro will help _XD

Step-by-step explanation:

ab = 34

bc 33

ac 27

pq 27

qr 27

pr 40

Answer:

200

Step-by-step explanation:

Answer:

x≤4 is a closed circle on 4 going left and x≥8 is a closed circle on 8 going right

Step-by-step explanation:

Not sure how to explain it.

9514 1404 393

Answer:

  (g·f)(9) = 496

Step-by-step explanation:

One way to do this is to find the values of g(9) and f(9).

  g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248

  f(9) = -(9) +11 = 2

Then ...

  (g·f)(9) = g(9)·f(9) = 248·2

  (g·f)(9) = 496

Answer:

12 sides

Step-by-step explanation:

its a regular polygon so we can use the formula 180(n-2)/n which finds the angle of the regular polygon, since the exterior angle is 30, the angle of the regular polygon is 180-30=150, so 180(n-2)/n=150.

Answer:

[tex] \frac{2n}{3} [/tex]

hope, I'm right

Answer:

[tex] \frac{2n}{3} [/tex]

Step-by-step explanation:

[tex] \frac{ \frac{n}{4} }{ \frac{3}{8} } = \frac{n}{4} \div \frac{3}{8} [/tex]

[tex] \frac{n}{4} \times \frac{8}{3} = \frac{n \times 8}{4 \times 3} [/tex]

[tex] \frac{n \times 2}{3} = \frac{2n}{3} [/tex] ✅

Answer:

45oz

Step-by-step explanation:

We can find the ratio of white to blue paint he needs by dividing.

10 / 4 = 2.5oz of blue paint for every ounce of white paint

Now, we can multiply to find how much blue paint he needs.

18 * 2.5 = 45oz

Best of Luck!

Answer:

He will pay $10

Step-by-step explanation:

35-25=10

My answer is in the picture

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]m = 14[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'm'...}}}\\\\(\frac{3}{7}) m=6\\\\-------------\\\rightarrow (\frac{3}{7}m)7 = 6*7\\\\\rightarrow 3m = 42\\\\\rightarrow \frac{3m=42}{3}\\\\\rightarrow \boxed{m= 14}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

which class Of question is this

Answer:

5.264 * 10^4

Step-by-step explanation:

We put a decimal point to the right of the number, so

52640.

Then we move it to the left until we get a number that is between 1 and 10.

5.2640

This was four hops to the left.

We can remove the trailing 0, and write

5.264 * 10^4

10^4 because of the four hops

Answer:

5.264×10^4

Step-by-step explanation:

10^4 = 10,000 x 5.264 = 52,640

Simplifying fractions:

1) [tex]\frac{14}{20} =\frac{7}{10}[/tex]                  2) [tex]\frac{4}{8} =\frac{1}{2}[/tex]

3) [tex]\frac{9}{12} =\frac{3}{4}[/tex]                  4) [tex]\frac{12}{15} =\frac{4}{5}[/tex]

5) [tex]\frac{8}{18} =\frac{4}{9}[/tex]                  6) [tex]\frac{14}{21} =\frac{2}{3}[/tex]

7) [tex]\frac{12}{16} =\frac{3}{4}[/tex]                  8) [tex]\frac{10}{24} =\frac{5}{12}[/tex]

9) [tex]\frac{15}{35}=\frac{3}{7}[/tex]                 10) [tex]\frac{13}{26} =\frac{1}{2}[/tex]

11) [tex]\frac{11}{55}=\frac{1}{5}[/tex]                12) [tex]\frac{9}{21} =\frac{3}{7}[/tex]

13) [tex]\frac{16}{26} =\frac{8}{13}[/tex]              14) [tex]\frac{20}{32} =\frac{5}{8}[/tex]

15) [tex]\frac{18}{24} =\frac{3}{4}[/tex]               16) [tex]\frac{21}{27} =\frac{7}{9}[/tex]

17) [tex]\frac{4}{32} =\frac{1}{8}[/tex]               18) [tex]\frac{25}{40} =\frac{5}{8}[/tex]

Hope this helps :)

Answer:

D.  -3/5.

Step-by-step explanation:

6x + 10y = 8

We convert this to slope-intercept form:

Subtract 6x from both sides of the equation:

10y = -6x + 8

Divide through by 10:

y = -6/10 x +  8/10   (Slope-intercept form)

The slope is -6/10

= -3/5.

9514 1404 393

Answer:

  A.  500 cm²

Step-by-step explanation:

The height of the piece of cardboard is the same as the height of the prism: 20 cm.

The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.

The area of the cardboard is the product of its height and width.

  A = HW

  A = (20 cm)(25 cm) = 500 cm²

Okay this is the answer I hope this help

please mark this answer as brainlist

Answer: De and Ef

Step-by-step explanation:

Answer:

When we talk about Intercept... We refer to the place where the line touches or Crosses a Mentioned axis.

In this question... We needed the y - Intercept

Know This: At the intercept of a mentioned axis...The other axis is zero at that point.

In other words... If we're asked for intercept at x-axis ... The y value at that point is zero and Vice Versa

So To find the y Intercept... the x value at this point is zero(0).

With this in Mind...

substitute x = 0 into the quadratic eqn

f(x) = 0² +8(0) - 13

f(x) = -13

This is Our Y Intercept .

To get the x intercept(if asked)

substitute y = 0 and solve

0 = x² + 8x - 13

This is a quadratic equation

Solving this would get you two value and those values would be your x intercept.

I hope it helps.

Have a great day.

Answer:

32±b±90=180(being the three angle of a treangle)

32±90±b=180

122±b=180

B=180-122

b=58 answer

90±23±d=180(being three angle of the trangle)

113±d=180

d=180-113

d=78 answer

Answer

:.b=58

:.d=78

Thank you

Answer:  [tex]18\sqrt{2}\\\\[/tex]

This is the same as saying 18*sqrt(2) or you could say 18√2

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

Explanation:

We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

So we could have this as our steps:

[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]

Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]

The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.