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satela [25.4K]
2 years ago
9

Please help asap sssss

Mathematics
1 answer:
Zigmanuir [339]2 years ago
7 0

Answer:

Sin(theta) = 3/5

Step-by-step explanation:

Remark

The Sin(theta) = opposite / hypotenuse

The opposite side is not defining the angle. The hypotenuse is the longest side of a right triangle.

In this case the opposite is 3

The hypotenuse = 5

Answer: Sin(theta) = 3/5

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The answer is 1/7 :)

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Rhianna and Myra, both teachers, are adding books to their class libraries. Rhianna's classroom started out with a collection of
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2 years ago
A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Three h
neonofarm [45]

Answer:

  • 50 ft by 75 ft
  • 3750 square feet

Step-by-step explanation:

Let x represent the length of the side not parallel to the partition. Then the length of the side parallel to the partition is ...

  y = (300 -2x)/3

And the enclosed area is ...

  A = xy = x(300 -2x)/3 = (2/3)(x)(150 -x)

This is the equation of a parabola with x-intercepts at x=0 and x=150. The line of symmetry, hence the vertex, is located halfway between these values, at x=75.

The maximum area is enclosed when the dimensions are ...

  50 ft by 75 ft

That maximum area is 3750 square feet.

_____

<em>Comment on the solution</em>

The generic solution to problems of this sort is that half the fence (cost) is used in each of the orthogonal directions. Here, half the fence is 150 ft, so the long side measures 150'/2 = 75', and the short side measures 150'/3 = 50'. This remains true regardless of the number of partitions, and regardless if part or all of one side is missing (e.g. bounded by a barn or river).

6 0
3 years ago
Write the explicit formula which can be used to represent the sequence 5,9,13,17
Oliga [24]

Answer:

4n+1

Step-by-step explanation:

Term 1: 4(1)+1 = 5

Term 2: 4(2)+1 = 9

Term 3: 4(3)+1 = 13

Term 4: 4(4)+1 = 17

4 0
3 years ago
What is 3x-2y=24 in slope intercept form??
elixir [45]

Answer:  3x-2y=24 in slope intercept form is y=\frac{2}{3}x -12

The graph of the equation is in the attachment

Step-by-step explanation: Slope intercept form is y = mx + b

m is the slope b is the y-intercept  x is the "input" in the equation y is the "output" or the y-value in the graph for a given x-value.

You need to rearrange the standard form to slope-intercept to isolate y on the left side of the equation.

3x - 2y = 24 Standard form. Subtract 3x from both sides.

-2y = -3x + 24   divide both sides by -2

-2y/-2 = -3x/-2 + 24/-2 . Simplify.

y = 3x/2 - 12 .

To clarify the slope as a fraction

y=\frac{2}{3}x -12

4 0
3 years ago
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