A bag contains 2 5/8 pounds of candy. If the candy is equally distributed to point
seven children, how many pounds will each child get?"
3/7
3/8
3/9
3/10

You may need to input the number only without the "degrees".

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Explanation:

First we'll focus on triangle DEH. Ignore the other points and values.

We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.

cos(angle) = adjacent/hypotenuse

cos(H) = EH/DH

cos(x) = 32/49

x = arccos(32/49)

x = 49.227195

The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.

We'll come back to this value later.

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Now focus on triangle HFG. Ignore the other points.

We have the sides of FG = 38 and GH = 43

Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.

To find y, we'll need the sine rule this time

sin(angle) = opposite/hypotenuse

sin(H) = FG/GH

sin(y) = 38/43

y = arcsin(38/43)

y = 62.094527 which is approximate to 6 decimal places

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The last step is to add the values of x and y we found earlier

angle DHG = (angle DHE) + (angle FHG)

angle DHG = (x) + (y)

angle DHG = (49.227195) + (62.094527)

angle DHG = 111.321722

angle DHG = 111 degrees after rounding to the nearest whole degree.

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If you wanted to do this all in one step, you could say:

arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.

Answer:

the total cost of the wedding would be: 1,350

Step-by-step explanation:

2×50=100 and 20×50=1,000

100+1,000=1,100

1,100+ 250= 1,350

total for wedding is 1,350

:)

Answer: The answer for this problem is $1350.

Step-by-step explanation:

The first thing you do is to see how much money for the appetizers and the main course did all 50 people pay.

50 x 2 = 100, how much money in total for the appetizers

50 x 20 = 1000, how much money in total for the main course

Once you're done with that! Next, you add the total prices for the appetizers and the wedding cake. Then, you add up the $250, so you get your answer!

$100 + $1000 = $1100

$1100 + $250 = $1350

This is how you get the answer!

the slope is rise over run.

rise= y

run= x

(x,y)

so (2,2) the slope is 2 over 2

and for (-1,2) the slope is -1 over 2.

you run -1 (backwards since ite negative) and go up 2 steps.

Answer:

The slope would be 0

Step-by-step explain:

m= rise / run= x2-x1 over y2-y1

Answer:

a. False

b. z = 8

Step-by-step explanation:

a. Equation answer:2 + 6 = 10 Real answer:2 + 6 = 8

b. 3 + 5 = 8

Answer:

No Solution

Step-by-step explanation:

2(x - 5) = 2(x - 3)

2x -10 = 2x -6  When we subtract 2x from both sides we are left with a false statement.

-10 [tex]\neq[/tex] -6

Thus, no solution.

Answer:

158.3

Step-by-step explanation:

Step-by-step explanation:

let the amount that Krutika gets be x, therefore, gets him the amount that jim get will be x +40

therefore 3/1=x+40/x

hence 3x=x+40

therefore x=40/2

x=20

Step-by-step explanation:

let the amount that Krutika gets be x, therefore, gets him the amount that jim get will be x +40

therefore 3/1=x+40/x

hence 3x=x+40

therefore x=40/2

x=20

Answer:

Hope that answers your question. The 3rd function has no solution

Answer:

Step-by-step explanation:

  [1]    5x + 2y = 4

  [2]    3x + 6y = -12

Graphic Representation of the Equations :

   2y + 5x = 4        6y + 3x = -12  

// Solve equation [2] for the variable  y  

 [2]    6y = -3x - 12

 [2]    y = -x/2 - 2

// Plug this in for variable  y  in equation [1]

  [1]    5x + 2•(-x /2-2) = 4

  [1]    4x = 8

// Solve equation [1] for the variable  x  

  [1]    4x = 8  

  [1]    x = 2  

// By now we know this much :

   x = 2

   y = -x/2-2

// Use the  x  value to solve for  y  

   y = -(/2)(2)-2 = -3  

The answer is 49 :))

Answer:

Perimeter = 14 in

Area = 8 in^2

Step-by-step explanation:

Area = 2x2 + 4x1 = 8 in^2

Perimeter = 2+2+2+2+1+4+1 = 14 in

Answer:

The area is 8 square inches and the perimeter is 16 square inches.

Step-by-step explanation:

First, find the area.

We can find the area of the rectangle at the bottom pretty easily. Since half of the length of the bottom rectangle measures 2 inches, the full length would be 4 inches.

4 ⨯ 1 = 4

So, the area of the bottom rectangle is 4 square inches.

For the square on top, all you have to do is multiply 2 ⨯ 2, because there is no missing length we need to find out.

2 ⨯ 2 = 4

Now, we have to add 4 + 4, because the two quadrilaterals are joined together.

4 + 4 = 8

So, the area of the shape is 8 square inches.

Now, let's find the perimeter. We already know that the bottom rectangle's length is 4 inches, and that the sides are 1 inch tall. The square is 2 inches all around, so, no problems there.

Add the side measurements, not including the 2 inches at the bottom of the square because that side is inside the big shape.

2 + 2 + 2 + 4 + 1 + 4 + 1 = 16

So, the perimeter of the shape is 16 inches.

Answer:

the answer is 230 ft squared

Step-by-step explanation:

We can solve this by subtracting the area of the driveway from the entire rectangle

The area of a rectangle is , so multiplying 14 by 32, we get 448

Now we need to find the area of the driveway. We can split up the driveway into 2 rectangles, one big rectangle at the left and a tiny rectangle in the upper right.

To find the area of the big rectangle in the driveway, we multiply 10 by 20, getting 200.

To find the area of the tiny rectangle in the driveway, we subtract 20 from 26 to find the length, which is 6.

Now we need to find the width of the tiny rectangle. We can do this by subtracting 7 from 10, getting 3.

Multiplying 6 by 3, we get 18, so the area of the tiny rectangle is 18.

Adding 200 to 18, we get 218, so the area of the driveway is 218 ft squared.

Now we need to subtract 218 from 448.

448-218=230

Answer:

Step-by-step explanation:

Answer:

12 + 2x

Step-by-step explanation:

2(10) + 2(x - 4)

20 + 2(x - 4)

20 + 2x - 8

12 + 2x

Answer:

-6

Step-by-step explanation:

2(10)+2(x-4)=0

20+2x-8=0

20-8+2x=0

12+2x=0

2x=-12

x=-6

Answer:

I'm pretty sure it's 1, 2, and 3, but I'm not positive

Answer:

a.25 out of 100 chances

b. 0 out  of 100 chances

c. 30 out of 100 chances

d. 7 out of 100 chances

Step-by-step explanation:

Answer: 5[tex]\sqrt{11}[/tex]

Step-by-step explanation:

25*11=275

[tex]\sqrt{25}\sqrt{11}[/tex]

25 is perfect square but 11 is not so 11 stays inside the radical while 25 is changed to 5

Answer:

2

Step-by-step explanation:

But if you want monkey math then it is 11 or 22. Hope this helps lol.

Answer:

21

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

30-8=22

5*4=20

20 dollars is the closest you can get without going over

The number of months that Zea can continue this pattern until she reaches her credit limit will be 27 months.

A credit card is a method of payment that is given to customers so they may pay a merchant for products and services depending on the debt they have accumulated.

Zea has a credit limit of $2,000 on her credit card. Each month, she charges about $200 and makes a payment of $125.

The distinction between the installment made and the charges done will be given as,

Difference = $200 - $125

Difference = $75

Partition as far as possible by this distinction to find the number of months that Zea can proceed with this example until she contacts her credit limit.

⇒ $2,000 / $75

⇒ 26.667 ≈ 27

The number of months that Zea can continue this pattern until she reaches her credit limit will be 27 months.

More about the credit card link is given below.

https://brainly.com/question/27350251

#SPJ2

Answer:

1...-

Step-by-step explanation: