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Mathematics

2 answers:

IrinaK [193]3 years ago

6 0

Answer:

Step-by-step explanation:

mylen [45]3 years ago

5 0

Answer:

(B) A right triangle with side length of StartRoot 47 EndRoot and hypotenuse of 10

Step-by-step explanation:

I just took the quiz on edge

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Are squaring a number and taking a root ___ operations. the same opposite different

Ber [7]

They are opposite operations

4 0

3 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

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.

8 0

3 years ago

How many centiliters are in 6.02 decaliters?

Aloiza [94]

1 centiliter is .01 of a liter.

6.02 decaliter is 60.2 liters.

6.02 decaliter is also 6020 centiliters

So 6.02 decaliter is 6020 centiliters

6 0

3 years ago

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6

ddd [48]

Answer:

The population of bacteria after 6 days is 2,313.06

Step-by-step explanation: