The area of a flower garden is 60m2. One third of it was used for growing roses and the remaining area was divided into two equal parts. Find the area of each remaining part?

Answer:

[tex]sin 2 \theta = \frac{4 \sqrt5}{9}[/tex]

Step-by-step explanation:

Identities used :

[tex]1. sin^2 \theta = 1 - cos^2\theta\\\\2. tan^2 \theta + 1 = sec^2 \theta\\\\3.cos \theta = \frac{1}{sec \theta} \\\\4. sin 2 \theta = 2 sin\theta cos\theta[/tex]

[tex]Given \ tan \theta = -\frac{2 \sqrt5}{5}\\[/tex]

[tex]we \ know \ tan ^2 \theta + 1 = sec^2\theta[/tex]

            [tex](-\frac{2 \sqrt 5}{5})^2 + 1 = sec^2 \theta\\\\\frac{4 \times 5}{25 } + 1 = sec^2 \theta \\\\\frac{20 + 25}{ 25} = sec^2 \theta \\\\\frac{45}{25} = sec^2 \theta \\\\sec \theta = \sqrt{ \frac{45}{25}}\\\\sec \theta = \sqrt{ \frac{9 \times 5}{5 \times 5}} \\\\sec \theta = \frac{3 \sqrt {5}}{5}\\\\[/tex]

[tex]We \ know \ cos \theta = \frac{1}{ sec \theta}[/tex]

[tex]So , \cos \theta = \frac{5}{3 \sqrt5}[/tex]

[tex]Next \ sin^2 \theta = 1 - cos^2 \theta[/tex]

                 [tex]= 1 - (\frac{5}{3 \sqrt5})^2\\\\=1 - \frac{25}{9 \times 5}\\\\=1 - \frac{25}{45}\\\\=\frac{45 - 25}{45}\\\\=\frac{20}{45}\\\\=\frac{4}{9}[/tex]

    [tex]sin \theta = \sqrt{ \frac{4}{9}} = \frac{2}{3}[/tex]

[tex]Find \ sin 2 \theta[/tex]

[tex]sin 2 \theta = 2 (sin \theta \times cos \theta)[/tex]

        [tex]= 2 \times \frac{2}{3} \times \frac{5}{3\sqrt5}\\\\= \frac{4 \times \sqrt5 \times \sqrt5}{9 \times \sqrt 5}\\\\=\frac{4 \sqrt5}{9}[/tex]

Answer:

0.013

I think.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

So there are two things that must be remembered.

The radius is half of the diamater. It is the distance from the side of a circle to its center.

The diamater is two times the radius. It is the distance from one side of the circle to the opposite side of the circle.

In this case, we know the radius is 4.

The radius is half of the diamamter, or the diamater is two times the radius.

This can be though of as:

2r=d

Or

1/2d=r

So lets plug 4 in for r:

2*4=d = 8=d

1/2d=4 = 2*1/2=4*2 = 1d=8

So using either of these formulas, we find d is equal to 8.

Hope this helps!

Answer:

Sorry for the late response, I had to have lunch.

1. >

2. =

3. <

4. >

Step-by-step explanation:

Have a great summer :)

Answer:

[tex]C = 2[/tex] (A)

Step-by-step explanation:

We assume the constant A is different than 0

We notice that the graph of the function intercepts the x-axis when x = -0.5

we know that cos(x) = 0 when x = π/2 or x = -π/2

thus, [tex]-0.5 + C = \pi /2[/tex]    or  [tex]-0.5 + C = -\pi /2[/tex]

then [tex]C = \pi /2 + 0.5 = 2[/tex]  or [tex]C = -\pi /2 = 0.5 = -1[/tex]

so [tex]C = 2[/tex]

Answer:

Beep

Step-by-step explanation:

Answer:

[tex]b=\frac{4c-a^{2} }{3}[/tex]

Step-by-step explanation:

First: multiply both sides by 4. 4 times c is 4c and the other sides cancels out as you are doing the inverse operation of division

Then, you have [tex]4c=a^{2} +3b[/tex]

Subtract both sides by a squared

DO NOT TAKE THE SQUARE ROOT! This is because it is a squared plus 3b so you have to do the inverse of addition

From that you get [tex]4c-a^{2} =3b[/tex]

Finally, divide both sides by 3.

You get  [tex]b=\frac{4c-a^{2} }{3}[/tex]

Answers:

He has  27   quarters and  31   dimes

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

Work Shown:

d = number of dimes

q = number of quarters

d+q = 58 since there are 58 coins of only these two types

d = 58-q

10d+25q = 985 .... note that 985 cents is $9.85

10(58-q)+25q = 985 .... replace d with 58-q

580-10q+25q = 985

15q+580 = 985

15q = 985-580

15q = 405

q = 405/15

q = 27 ..... Mike has 27 quarters

d = 58-q

d = 58-27

d = 31 .... Mike also has 31 dimes

-----------

As a way to check:

d+q = 31+27 = 58 so that works out

and

10d+25q = 10*31+25*27 = 310+675 = 985

so that works out as well. The answer is confirmed.

Answer:

1 ticket is worth 1.2$

90$ gets you 75 tickets

Step-by-step explanation:

t=ticket(s)

6=5t

6/5=t

90/(1.2)=75

Answer:

1 ticket = $1.2

Step-by-step explanation:

The answer is: [tex]9\sqrt{15}[/tex]

Answer:

Width = 13

Equation: 2 × 29 + 2W = 84

Step-by-step explanation:

Ace here!

I'm going to assume that we have to find the width. In a rectangle, there are 4 sides and opposite sides are congruent.

Let L represent the length and W represent the width.

Since there are 4 sides, we know that to find the of a rectangle perimeter, we have to do:

L+L+W+W=Perimeter

Let's first simplify this equation by combining like terms:

2L+2W = Perimeter

Now, let's plug in known values:

2(29) + 2W = 84

Divide everything by 2:

29+W=42

Isolate W:

W=42-29

W=13

Keep in mind, I didn't have to divide by 2 at the step that I had. I could've also done this:

2(29) + 2W = 84

Simplify:

58+2W=84

Bring everything to one side:

2W=26

Isolate W by dividing 2:

W=13

Two different slightly approaches, same answer.

I hope that helped, let me know if you have any questions.

Answer:

[tex]\frac{m^{3}n+5 }{m^{2}n^{2} }[/tex]

Explanation :

is down below in the picture

Please give me brainiest!!

[tex]\huge\text{Hey there!}\\\\\large\text{4x - 3x + 2y}\\\\\large\text{\underline{\underline{COMBINE the LIKE TERMS}}}\\\\\large\text{(4x - 3x) + 2y}\\\\\large\text{4x - 3x = \bf 1x }\large\text{(or you could simply say \underline{x} because a variable by itself}\\\large\text{is understood as an invisible 1)}\\\\\large\text{\bf x + 2y}\\\\\\\boxed{\boxed{\huge\text{Therefore your answer is: x + 2y}}}\huge\checkmark\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

It would be 2.9348211e+40

Step-by-step explanation:

Use a calculator

Answer:

C.

Step-by-step explanation:

Answer:

not sure if understood you; slope: (-1-9)/(-8+2)=-10/-6=5/3, y-int: -1-(-40/3)=37/3; y=5/3x+37/3

Answer:

do you have a picture or something So I can answer your question?

Step-by-step explanation:

Option-A is accurate because f(x) = 9(x/2)-8 and g(x) = 2(x+8)/9 are the values we get when solving the function.

A function receives values, performs certain operations on them, and outputs a result. After acting and concurring with the result, the inverse function switches back to the original function.

The inverse function, which also returns the initial value, returns the result of a function.

this selection. Option-A is the proper choice, so

f(x)=9(x/2)-8

consider the f(x)=y

y=9(x/2)-8

y+8=9(x/2)

(y+8)/9=x/2

2(y+8)/9=x

g(x)=2(x+8)/9

As a result, Option-A, which states that when the function is solved, the output is the inverse function, is correct. Its values are f(x) = 9(x/2)-8 and g(x) = 2(x+8)/9.

To know more about inverse function check:

https://brainly.com/question/2541698

#SPJ7

Find 7% of 200

7% = 7/100

Divide 7 by 100

7/100

= 7 ÷ 100

= 0.07

Multiply 0.07 to 200

0.07 × 200

= 14

Add 14 to 200

200 + 14

= 214

Therefore, the total cost of the iphone including sales tax is $ 214

Answer:

2.4 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

To find the area of a regular hexagon, or any regular polygon, we use the formula that says Area = one-half the product of the apothem and perimeter. As shown below, this means that we must find the perimeter (distance all the way around the hexagon) and the measure of the apothem using right triangles and trigonometry. Area of a Hexagon

Step-by-step explanation:

Answer:

U'(3,-4) T'(-1,-2) S'(2,0)

Step-by-step explanation:

Firstly, we need the general rotation method

We have this as;

(x,y) to (-y,x)

So;

U (-4,-3) becomes U’ (3,-4)

T(-2,1) becomes T’(-1,-2)

S(0,-2) becomes S’ (2,0)

Answer:

25: 6,000

26: 450

27: 70,000,000

28: 10,500

29: 3,052

30: (cant really see the exponent but I think its 10^5)  500,000

31: 9.87

32: 5.43

Answer:

B' = (-6,6)

Step-by-step explanation:

The coordinates of B are (-2,2)

If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)

Answer: B

Step-by-step explanation:

Answer:1925g=1kg 925g

Step-by-step explanation:

1kg=1000g

2kg=2000g

2kg 300g=2300g

2300-375=1925g=1kg 925g

Answer:

h (x) = 5

h (x) = 2x + 1

h (x) = 2 x 2 + 1 = 5

x = 2

Answer:

x = 2

Step-by-step explanation:

Its given that h(x) = 2x + 1

But its also given that h(x) = 5

[tex]=> h(x) = 2x + 1 = 5[/tex]

[tex]=> 2x + 1 = 5[/tex]

Solve the equation.

[tex]=> 2x + 1 - 1 = 5 - 1[/tex]

[tex]=> 2x = 4[/tex]

[tex]=> \frac{2x}{2} = \frac{4}{2}[/tex]

[tex]=> x = 2[/tex]

Step-by-step explanation:

3u+6=22

3u=16

u=16/3

!!!!!!!!!!!

Answer:

its the 2nd one

hope that helps<3

Answer:

jhkkkhj

Step-by-step explanation:

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