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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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The pyramid shown has a square base that is 1212 centimeters on each side. The slant height is 1818 centimeters. What is the sur

S_A_V [24]

Answer : Surface area of pyramid = 4406832 square cm.

Explanation :

Since we have given that

Side of square base = 1212 cm

Slant height of pyramid = 1818 cm

As we know that ,

$\text{Surface area of pyramid }=\frac{1}{2}\times perimeter\times \text{ slant height}$

$\text{ Since, perimeter of square }=4\times side\\=4\times 1212\\=4848 cm$

Now,

$\text{ Surface area of pyramid }= \frac{1}{2}\times 4848\times 1818\\\\\text{ Surface area of pyramid }=4406832\text{ square cm}$

Hence, surface area of pyramid = 4406832 square cm.

5 0

2 years ago

–10p = –11p − 15<br> What is the answer

tensa zangetsu [6.8K]

Answer: p = −15

Step-by-step explanation:

Add 11p to both sides.

−10p+11p=−11p−15+11p

p=−15

4 0

3 years ago

Read 2 more answers

To win at LOTTO in one state, one must correctly select 4 numbers from a collection of 50 numbers (1 through 50). The order i

Oksana_A [137]

Answer:

230,300 different selections.

Step-by-step explanation:

If the order does not matter, the number of possible different selections is determined as the combination of choosing four numbers out of 50:

$n=\frac{50!}{(50-4)!4!}\\\\n=\frac{50*49*48*47}{4*3*2*1} \\\\n=230,300\ combinations$

There are 230,300 possible different selections.

4 0

2 years ago

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koban [17]

What is the question

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3 years ago

If 3n-4=8 then what is the value of 5n-3

dexar [7]

Answer:

Step-by-step explanation:

Given

3n - 4 = 8 ( add 4 to both sides )

3n = 12 ( divide both sides by 3 )

n = 4

Thus

5n - 3 = 5(4) - 3 = 20 - 3 = 17

4 0

3 years ago