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Darya [45]
3 years ago
15

The value of 456×6+35×2 is ​

Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

2806

Step-by-step explanation:

→ First complete the multiplication

456 × 6 = 2736 and 35 × 2 = 70

→ Add the totals

2736 + 70 = 2806

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.
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Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

xy = 288  \\  \\  \\  \\ \Rightarrow y= \frac{288}{x}

Substituting for y into the equation for the length of fencing needed, we have

P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}

For the amount of fencing to be minimum, then

\frac{dP}{dx} =0 \\  \\ \Rightarrow1- \frac{576}{x^2} =0 \\  \\ \Rightarrow \frac{576}{x^2} =1 \\  \\ \Rightarrow x^2=576 \\  \\ \Rightarrow x=\sqrt{576}=24

Now, recall that

y= \frac{288}{x} = \frac{288}{24} =12

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.
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3 years ago
The 25th percentile for waiting time in a doctor's office is 19 minutes. the 75th percentile is 31 minutes. the interquartile ra
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Wheres the rest of the question? 
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In the diagram, the length of segment QV is 15 units.
Andrews [41]

Answer:

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Step-by-step explanation:

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The answer to this question would be true.

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