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Free_Kalibri [48]
3 years ago
6

Approximately what angle does the line y = 1 2 x make with the positive x-axis? A) 26.6° B) 27.5° C) 29.5° D) 31.7°

Mathematics
2 answers:
HACTEHA [7]3 years ago
7 0

Answer:

A) 26.6

Step-by-step explanation:

Do 1/2 and you get 0.5

Use tan-(0.5) to get 26.565


REY [17]3 years ago
4 0
A) 26.6°  I'm assuming that there's a typo in the problem and that the equation is y = 1/2 x. If that's the case, then the tangent of the desired line is 1/2, and the arc tangent of 0.5 is 26.56505118 which rounds to 26.6° which in turn nicely matches option "A".
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15/124 x 230/30 divided by 230/124
pentagon [3]

Answer: 15/124 x 230/30 divided by 230/124 = 0.5

hope this helps

6 0
3 years ago
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What is the term for the number 9 based on its position in the number 10.0976?
Nat2105 [25]
Usually decimal numbers have in tenths(0) and hundreths (9). So 9 is in the hundreths place.
7 0
3 years ago
Complete the square to put he equation in convenient form for graphing. Then graph the conic section
Maslowich
First off, I think the equation should have a negative 9 in it originally and then you move it to the other side and it becomes positive.

You'll basically complete the square for two equations at the same time. Set it up like this:

(16x^2 + 96x) + (9y^2 - 18y) = 9

Divide everything by 16 to get the x^2 by itself, then divide everything by 9 to get y^2 by itself. You should end up with this.

(x^2 + 6x) + (y^2 - 2y) = 9/144

then complete the square by taking the second term of each polynomial, dividing by two, and squaring it.

For instance the first one will be 6/2 = 3^2 = 9

The next one will be 2/2 =1^2 = 1

Add these to numbers to the polynomials as well as to the other side of the equation to keep it equal. You should end up with this.


(x^2 + 6x+9) + (y^2 - 2y+1) = (9/144)+9+1

Then find a common denominator on the right side of the equals sign and add them all together to get:

(x^2 + 6x+9) + (y^2 - 2y+1) = 1449/144

Factor out the two polynomials

(x+3)^2 + (y-1)^2 = 1449/144

the center of the circle is (-3,1) according to the factored out polynomials and the radius will be the square root of the number on the right side of the equals sign = sqrt(1449/144) = 3.17
8 0
3 years ago
How much fencing does Farmer Gump need?
Agata [3.3K]

For the first field, he will need 40 m for the fence, this will cost £640 and he can have 10 sheep. For the second field, he will need 60 m for the fence, this will cost  £960 and he can have 12 sheep.

<h3>What does this problem require?</h3>

This problem requires you to calculate the perimeter and area of each field and based on this information you can find the total of the fence the farmer requires, the cost, and the number of sheep.

<h3>How to calculate the perimeter?</h3>

You can calculate the perimeter by adding all the sides.

  • Field 1: 10m + 10m + 10m + 10m = 40 m
  • Field 2: 25m + 5m + 25m + 5m = 60 m

<h3>How to calculate the area?</h3>

To calculate the area, multiply the height by the width.

  • Field 1: 10 x 10 = 100m2
  • Field 2: 25 x 5 = 125m2

<h3>How much fencing does the farmer need?</h3>

The fencing needed is equal to the perimeter.

  • Field 1: 40 m of fencing
  • Field 2: 60 m of fencing

<h3>How much will it cost?</h3>

Multiply the number of meters needed by the price per meter ( £16 per meter).

  • Field 1: 40m x  £16 per meter = £640
  • Field 2: 60 m x £16 per meter = £960

<h3>How many sheep can there be in each field?</h3>

To calculate this divide the area into the space required by each sheep (10m2).

  • Field 1: 100m2 / 10m2 = 10 sheep
  • Field 2: 125m2 /10m2 = 12 sheep

Note: This question is incomplete; here is the missing information:

Farmer Gump has two problems. His first problem is to work out how much fencing he needs to buy for his fields so his sheep don’t escape. His second problem is to work out how many sheep each field can hold—each sheep needs a minimum of 10m² of grass!

Sheep cost £65 each.

The fence is £16 per meter.

Learn more about perimeter in: brainly.com/question/6465134

4 0
3 years ago
HELP ASAP<br> G = a(4 – d)
NemiM [27]

Answer:

g/-d+4

Step-by-step explanation:

6 0
3 years ago
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