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3 years ago

A lighting designer is finalizing the lighting plan

Mathematics

1 answer:

kykrilka [37]3 years ago

6 0

Answer:

Step-by-step explanation:

It depends on the shape of the stage, generally, the stage is cuboidal or cubical in shape, so assuming the stage is cuboidal.

Here, the spotlight has top cover the minimum angle of 90° (for a corner position of the spotlight.

Now, compute how much angles the spotlight can cover.

From its central position, the spotlight can rotate 25° to the left or right, so, angle covered due to rotation is 25°+25°=50°.

As the beam of light from the spotlight can spread 22°.

So, the total angle covered by spotlight= 50° + 22°=72°, which is less than the minimum angle required to cover the entire stage.

Hence, the designer can't use the spotlight to light each of the objects on the stage.

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A plane flies 15 miles in 20 seconds. How long would it take the plane to cover 30 miles?

ExtremeBDS [4]

Answer:it would take the plane 40 seconds

Step-by-step explanation:

if you multiply by two then you would be able to get 30

like 15 times 2 and since it’s 15 miles to 20 seconds or 15:20 you would have to multiply by the same number.

6 0

3 years ago

a wire of length 200 cm is cut into two parts and each part is bent to form a square.If the area of the larger square is 9 times

diamong [38]

Answer:

The perimeter of the larger square is $150cm.$

Step-by-step explanation:

First of all, let one part of it be " $x$ "

and the other part of it " $200-x$ "

Now to solve this :

The area of the square = $L^2$

The area of one part of the square = $x^2$

The area of the other part of the square = $(200-x)^2$

$9x^2= (200-x)^2\\9x^2=40000-400x+x^2$

Now, add, $-4x^2$ to both the sides :

$9x^2-9x^2=40000-400x+x^2-9x^2\\-1(8x^2+400x-40000)=0$

Now, take out the "8" which is common :

$-8(x^2+50x-5000)=0$

Now, divide it by $-8$ :

$x^2+100x-50x-5000=0\\x(x+100)-50(x+100)=0\\(x+100)(x-50)=0\\$

$x=-100$ or $50$

So, now we know that :

One of the part is = $50cm$

And the other part is = $150cm$

Thus the perimeter of the larger square is = $150cm$

3 0

3 years ago

Standard printer paper has a thickness of 0.1mm. write an equation for a function that should approximately the thickness of a s

ladessa [460]

Folding a paper will make it thickness become double from it before.
Unfolded paper has 1 thickness
1 times folded paper has 2 thickness
2 times folded paper has 4 thickness
3 times folded paper has 8 thickness

From here it is clear that the pattern is $2^{n}$ . SInce the paper is 0.1mm, then the function would be:
f(n)= $2^{n}$ x 0.1mm

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3 years ago

The vertex of this parabola is at (-3, 6). Which of the following could be its equation?

pishuonlain [190]

Since the vertex is at (-3, 6), the equation is given by
y = a(x + 3) + 6

Therefore, option A is the correct answer.

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3 years ago

Let a be a non-zero rational number and be an irrational number. Is a/b rational or irrational?

vodka [1.7K]

Answer: Irrational, assuming b is irrational

Step-by-step explanation:

You didnt state what "b" is, but:

Youre dividing "a" by an irrational number. you could do something simple like 4 divided by pi. Youre going to get an irrational number

7 0

3 years ago