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3 years ago

What is the radius of a circle with a circumference of 36(3.14) cm

Mathematics

1 answer:

mart [117]3 years ago

6 0

It should be 18, because despite of 3,14, because that's pi and radius is half of the diameter, so36 divide 2 is 18.

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A huge ice glacier in the Himalayas initially covered an area of 454545 square kilometers. Because of changing weather patterns,

zloy xaker [14]

Answer:

$t=-20ln\left(\dfrac{1}{3}\right)$

Step-by-step explanation:

The relationship between A, the area of the glacier in square kilometers, and t, the number of years the glacier has been melting, is modeled by the equation.:

$A=45e^{-0.05t}$

We want to determine the value of t for which the area, A(t)=15 square kilometers.

$15=45e^{-0.05t}\\$Divide both sides by 45\\\dfrac{15}{45} =\dfrac{45e^{-0.05t}}{45}\\\dfrac{1}{3}=e^{-0.05t}\\$Take the natural logarithm of both sides\\ln\left(\dfrac{1}{3}\right)=ln\left(e^{-0.05t}\right)\\ln\left(\dfrac{1}{3}\right)=-0.05t\\$Divide both sides by -0.05$\\t=-\dfrac{ln\left(\dfrac{1}{3}\right)}{0.05} \\=-\dfrac{ln\left(\dfrac{1}{3}\right)}{0.05}\\t=-20ln\left(\dfrac{1}{3}\right)$

Therefore, the time for which the area will be 15 sqyare kilometers is:

-20 ln(1/3) years.

7 0

3 years ago

Creative landscaping has 60 yards of fencing with which to enclose a rectangular flower garden. If the garden is X yards long, e

7nadin3 [17]

Answer:

$\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2$

<h3>Area, A(x) = 30x - x² , as a function of the length (x).</h3>

Step-by-step explanation:

Creative Landscaping has 60 yard of fencing with which to enclose a rectangular garden.

If the garden is X yards long, express the Gardens area as a function of length

Let x be the length of garden

So perimeter of rectangle = 60 yard

Perimeter = 2 * ( Length + width)

60 = 2 * ( x + width)

Width = 60/2 - x

Width= 30 - x

$\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2$

<h3>Area, A(x) = 30x - x² , as a function of the length (x).</h3>

3 0

3 years ago

What type of correlation does this graph show?

Luba_88 [7]

Answer:

Weak positive correlation

Step-by-step explanation:

Because it can’t be strong otherwise the points would have been very close to the line of best fit

6 0

3 years ago

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kolbaska11 [484]

Answer:

The volume of the replica should be 287.99 ft^3 or 288 ft^3

Step-by-step explanation:

Find decimal of 1/3 by dividing=0.33333333

Multiply 864 by 0.33333333 to set to scale=297.9999997 cubed feet

Round if needed=288 cubed feet

3 0

3 years ago

What is 10 rounded to the nearest whole number?

SpyIntel [72]

Answer:

Step-by-step explanation:

4 0

3 years ago

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