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Oksi-84 [34.3K]
3 years ago
13

A hole the size of a photograph is cut from a red piece of paper to use in a picture frame.

Mathematics
2 answers:
dolphi86 [110]3 years ago
8 0

Answer:

Its D

Step-by-step explanation:

Just took the quiz

mario62 [17]3 years ago
6 0

Answer:

D. 47 square units

Step-by-step explanation:

The area of the piece of red paper after the hole for the photograph has been cut is the difference between the area of large square and are of small square.

<u>Area of large square:</u>

The length of the side of large square is

EF=|-4-4|=8\ units

Area of large square =8^2=64\ un^2.

<u>Area of small square:</u>

The length of the side of large square is

AB=\sqrt{(-3-(-2))^2+(-2-2)^2}=\sqrt{(-1)^2+(-4)^2}=\sqrt{1+16}=\sqrt{17}\ units

Area of small square =\sqrt{17}^2=17\ un^2.

<u>Difference:</u>

64 \ un^2-17\ un^2=47\ un^2

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To complete a task in 15 days, a company has 4 people each working 8 hours a day. The company
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Answer:

Let's suppose that each person works at an hourly rate R.

Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:

4*R*(15*8 hours) = 1 task.

Whit this we can find the value of R.

R = 1 task/(4*15*8 h) = (1/480) task/hour.

a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:

5*( (1/480) task/hour)*(D*6 hours) = 1 task.

We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:

D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16

D = 16

Then the 5 workers working 6 hours per day, need 16 days to complete the job.

b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.

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Write the product 3i(5 - 3i) in the form a + bi.
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Step-by-step explanation:

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Please help me, please and thank youuu! :D
katen-ka-za [31]

Answer:

f = - \frac{19}{7}

Step-by-step explanation:

Given f varies directly with m then the equation relating them is

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