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4. the led lights around gavin’s room emit 2500 candelas of luminosity,…

Question

  1. the led lights around gavin’s room emit 2500 candelas of luminosity, and each bulb is 2500 candela, then how many total candelas of luminosity are in the room?

a) how many candelas of luminosity are the led lights?
b) the 6 led strips on the walls have 100 bulbs each. the two strips on the door have 50 each, and the two strips around the smartboard have 50 each. if each bulb is 2500 candel, then how many total candelas of luminosity are in the room?

Explanation:

Step1: Convert mcd to cd

We know that $1\ \text{cd} = 1000\ \text{mcd}$, so to convert millicandela to candela, divide by 1000.
$\text{Conversion: } 2500\ \text{mcd} = \frac{2500}{1000}\ \text{cd}$

Step2: Calculate total candelas for part a

The value simplifies directly to the candela value.
$2500\ \text{mcd} = 2.5\ \text{cd}$

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Step1: Calculate wall strip total bulbs

6 strips × 100 bulbs per strip
$6 \times 100 = 600$

Step2: Calculate door strip total bulbs

2 strips × 50 bulbs per strip
$2 \times 50 = 100$

Step3: Calculate smartboard strip total bulbs

2 strips × 50 bulbs per strip
$2 \times 50 = 100$

Step4: Sum all bulbs

Add the totals from steps 1-3
$600 + 100 + 100 = 800$

Step5: Calculate total candelas

Multiply total bulbs by 2.5 cd per bulb
$800 \times 2.5 = 2000$

Answer:

a) $2.5\ \text{cd}$
b) $2000\ \text{cd}$