Darius can buy two heads of cabbage for $1.80. How many heads of cabbage can he buy if he has $28.80?

Answer:

√2(√3 - 1)/4

Step-by-step explanation:

To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).

Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,  

Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°

Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.

Substituting these values into the above equation, we have

Cos75° = Cos(45° + 30°)

= Cos45°Cos30° - Sin45°Sin30°

= √2/2 × √3/2 -  √2/2 × 1/2

= √6/4 -√2/4

= √2(√3 - 1)/4

Answer:

314 million

Step-by-step explanation:

Given that :

Number of motor vehicle in the U.S for every 1000 people = 828

If the number of motor vehicle in the United States = 260 million

Then,

Let x = number of people Given number of vehicles = 260,000,000

1000 people = 828 vehicles

x = 260,000,000

828x = (260,000,000 * 1000)

828x = 260,000,000,000

x = 314009661. 835

x = 314 million (approx)

Answer:

thx for 10 points tho

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dado que:

Um técnico em eletricidade recebeu um pacote que continha 12 chaves não identificadas, a probabilidade de que ele acertasse na primeira vez será:

= número de ensaios / número total de ensaios disponíveis

O técnico eletricista tem apenas uma tentativa

uma vez que existem 12 chaves não identificadas, o número total de testes disponíveis 12

∴

= 1/12

= 0.0833

= 0.0833 × 100

= 8.33%

Answer:

for the first pack, 1 Itune song would be 1.29 and for the other pack, for one Itune song would be 1.29 also, the relationship between these problem is that they are the same price for 1 song. The total cost for 1 is $1.29 hope this helps, have a great day! ツ

Step-by-step explanation:

Answer:

3.25 kg

Step-by-step explanation:

Since there are five books in the box, and one book weighs 0.65 kg, you just have to multiply 0.65 by five.

0.65(5)=3.25. So the answer is 3.25kg

Answer:

Step-by-step explanation:

Given

We know that trigonometric ratio as

as

sin A = sin 40 = opposite/hypotenuse

From the diagram, it is clear that the opposite of angle A is a=8 and the hypotenuse is 'c'.

also the angle

sin A = sin 40 = opposite/hypotenuse = a/c = 8/c

sin 40 = 8/c

c = 8/sin 40

c = 8/0.745

c = 10.7

so the value of c will be: 10.7 units

so

tan B = opposite/adjacent

         = b/a

         = 0.9

[tex]B=\tan ^{-1}\left(0.9\right)[/tex]

   [tex]=42^{\circ \:}[/tex]

Therefore, the value of B = [tex]42^{\circ \:}[/tex]

As the sum of the angles of triangle ABC is 180.

i.e.

A+B+C = 180

(40)° + (42)° + C = 180°

C = 180° - 40° - 42°

  = 98°

Therefore, the value of C = 98°

Hence,

The probability helps us to know the chances of an event occurring. The number of possible outcomes When Denato pulls a pen from the bag is 29.

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that the bag has 8 red pens, 7 blue pens, and 14 black pens. Therefore, if Denato will pull a pen from the bag the number of possibilities will be the sum of all the number of pens.

Number of Possibilities = 8 + 7 + 14 = 29

Thus, the number of possible outcomes When Denato pulls a pen from the bag is 29.

Learn more about Probability:

https://brainly.com/question/795909

Answer:

29

Step-by-step explanation:

There are 9 pens, so 29 outcomes

Answer:

Twelve dollars per hour

Step-by-step explanation:

Add 2 1/2 and 4 1/4 together to get 6 3/4. Put it into decimal form (6.75), and divide. 81 ÷ 6.75 = 12.

Answer:

C) 253. 3 cm²

Step-by-step explanation:

1. Sector area formula can be in degrees or radians. I will use degrees because we are given 240 degrees as a unit.

2. SA= [tex]\frac{x}{360}[/tex] times [tex]\pi r^{2}[/tex] where x is the degrees of the sector

3. 240/360 times 3.14(11)²

4. 0.66666667 times 379.94

5. approximately 253. 3 cm²

Answer:

Step-by-step explanation:

Answer:

Every point on a horizontal line has the same y-value. Use the y-value of the point to find the equation of the horizontal line.

y=4

Answer:

m= 3 /2

Step-by-step explanation:

Answer:

x= 4

Step-by-step explanation:

3x + 7 = 5x - 1

combine the like numbers: add 1 to the other side, isolating 5x

3x + 8 = 5x

Subtract 3x from 5x, isolating 8

8 = 2x

divide

4 = x

Check if it works

3(4) + 7 = 5(4) - 1

19 = 19

Yes, it is correct

Answer:

0

Step-by-step explanation:

Answer:

The points that lie in the solution set of following system of inequalities are:

Option A (1,-5) and Option C (5,1)

Step-by-step explanation:

We need to find the points that lie in the solution set to the following system of inequalities

[tex]y<-3x+3\\y<x+2[/tex]

We will check each option to identify if they satisfy the given set of inequalities or net.

Option A (1,-5)

We have x=1, y=-5

Putting values and checking

[tex]\\y<-3x+3\\-5<-3(1)+3\\-5<0 \ (true)\\y<x+2\\-5<1+2\\-5<3 \ (true)[/tex]

So, Option A is correct as both values satisfy the given set of equations

Option B (1,5)

We have x=1, y=5

Putting values and checking

[tex]y<-3x+3\\5<-3(1)+3\\5<0 \ (false)\\y<x+2\\5<1+2\\5<3 \ (false)[/tex]

So, Option B is not correct as both values doesn't satisfy the given set of equations

Option C (5,1)

We have x=5, y=1

Putting values and checking

[tex]y<-3x+3\\1<-3(5)+3\\1<-15+3\\1<12 \ (true)\\y<x+2\\1<5+2\\1<7 \ (true)[/tex]

So, Option C is correct as both values satisfy the given set of equations

Option D (-1,5)

We have x=-1, y=5

putting values and checking

[tex]y<-3x+3\\5<-3(-1)+2\\5<3+2\\5<5 \ (false)\\y<x+2\\5<-1+2\\5<-1 \ (false)[/tex]

So, Option D is not correct as both values doesn't satisfy the given set of equations

The points that lie in the solution set of following system of inequalities are:

Option A (1,-5) and Option C (5,1)

Look at the Pictures:

Answer:

50%

Step-by-step explanation:

There are 4 sections in the circle. 2 out of 4 of them are shaded. That is half. 50% is another way of representing half of something.

Answer:

its c 50%

Step-by-step explanation:

Answer:2

Step-by-step explanation:

Answer:

2Pa

Step-by-step explanation:

just did the hw :)

Answer:

Answer: 6 3/4

Step-by-step explanation:

You have to mulitply 2 x 4 + 1 = 9 and 4 is going to be the denomiator and how much can 3 can go into 9 only 3 times and that going to be on top of the denomiator  and 2 x 3 = 6

Answer:

5*4 x^4 y^6 /8 x^9 y^12

20 /8 x^5 y^6

5/2 x^5 y^6

Step-by-step explanation:

Answer:

x=-5.5

Step-by-step explanation:

This equation has already been simplified to the last part for you so all you have to do is divide 22 by -4 and you get -5.5

22/-4=-5.5

Answer:

x = -5.5

Step-by-step explanation:

To answer this you need to isolate the x.. So -4x/-4 and then do the same to 22. So 22/-4 = -5.5

The answer is x = -5.5

Answer:

12.40

Step-by-step explanation:

[tex]223.20 \div 18[/tex]

that will give you the answer of 12.40 for each unit.

Answer:

Step-by-step explanation:

1 box costs x amount

18 boxes cos 223.20

Cross multiply

223.20 * 1 = 18 x

Divide by 18

223.20 / 18 = 18x / 18

x = 12.40

Cost of 1 box is 12.40

Answer:

B

Step-by-step explanation:

If you notice, since concert tickets is 1, the cost is $23. So we are finding an option that satifies that. The only option is B.

Hope you get a 100. Please hit the crown if correct :D

Answer:

B:23 dollars is the cost for each concert ticket

Step-by-step explanation:

Answer:

help with what? what is your q u e s t i o n

Step-by-step explanation:

Answer:

I will help, but I need to know your question first haha!

Step-by-step explanation:

Answer:

126 units²

Step-by-step explanation:

Draw 5 vertical lines BR, CQ, EO, GM, HL and we will have 4 trapezoids and 2 rectangles.

Trapezoid ABRS ≅ trapezoid IHLK

Trapezoid DEOP ≅ trapezoid FEON

Rectangle BCQR ≅ rectangle GHLM

Area of trapezoid is [tex]\frac{b_{1} +b_{2} }{2}h[/tex]

Area of rectangle is [tex]lw[/tex]  

The total area of the figure is: ( 2 × [tex]A_{ABRS}[/tex] + 2 × [tex]A_{BCQR}[/tex] + 2 × [tex]A_{DEOP}[/tex] )

In trapezoid ABRS: [tex]b_{1}[/tex] = 6, [tex]b_{2}[/tex] = 8 and h = 3 ⇒

2 × [tex]A_{ABRS}[/tex] = 2 × [3(6 + 8) ÷ 2] = 42 units²

In rectangle BCQR: l = 6 and w = 3 ⇒

2 × [tex]A_{BCQR}[/tex] = 2 × (6 × 3) = 36 units²

In trapezoid DEOP: [tex]b_{1}[/tex] = 6, [tex]b_{2}[/tex] = 10 and h = 3 ⇒

2 × [tex]A_{DEOP}[/tex] = 2 × [3(6 + 10) ÷ 2] = 48 units²  

[tex]A_{total}[/tex] = 42 + 36 + 48 = 126 units²  

Answer:

C

Step-by-step explanation:

∠ XYZ = ∠ 1 + ∠ 2, substitute values

8x + 12 = 4x + 8 + 9x - 11 = 13x - 3 ( subtract 13x from both sides )

- 5x + 12 = - 3 ( subtract 12 from both sides )

- 5x = - 15 ( divide both sides by - 5 )

x = 3

Thus

∠ XYZ = 8x + 12 = 8(3) + 12 = 24 + 12 = 36° → C

Answer:

Step-by-step explanation:

x=-3y+5

x-5 = -3y

y = -(x-5)/3

Answer:

2m-17

Step-by-step explanation:

-20+1/4(8m+12)

-20+2m+3

2m-20+3

2m-17

the answer is -20+ (8m+12/4)

Answer:

b

Step-by-step explanation: