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morpeh [17]
1 year ago
15

The area of a circle can be expressed by the formula A=pr^2 where r is the radius of a circle. express the radius in terms of th

e area of the circle
Mathematics
1 answer:
just olya [345]1 year ago
4 0

If area of a circle can be expressed by the formula A=πr², where r is the radius of a circle. then  √A/π is the radius in terms of the area of the circle.

<h3>What is Circle?</h3>

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given,

The area of a circle can be expressed by the formula A=πr²

r is the  radius of a circle

We need to find the radius in terms of the area of the circle

A=πr²

Divide both sides by π.

A/π=r²

Now take square root on both the sides

√A/π=r

Hence, √A/π is the radius in terms of the area of the circle.

To learn more on Circles click:

brainly.com/question/11833983

#SPJ1

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Find the maximum and the minimum value of the following objective​ function, and the value of x and y at which they occur. The f
kumpel [21]

Answer:

The maximum value of the objective function is 112 when x = 0 and y = 7.

Step-by-step explanation:

Given the constraints:

5x+3y≤37, 3x+5y≤35, x≥0, y≥0

Plotting the above constraints using geogebra online graphing tool, we get the solution to the constraints as:

A(0, 7), B(7.4, 0), C(5, 4) and D(0, 0)

The objective function is given as E =2x+16y, therefore:

At point A(0, 7):  E = 2(0) + 16(7) = 112

At point B(7.4, 0): E = 2(7.4) + 16(0) = 14.8

At point C(5, 4): E = 2(5) + 16(4) = 74

At point D(0, 0): E = 2(0) + 16(0) = 0

Therefore the maximum value of the objective function is at A(0, 7).

The maximum value of the objective function is 112 when x = 0 and y = 7.

8 0
3 years ago
The ratio of the number of Mary's necklaces to the number of Helen's necklaces is 25:9.Mary's has 100 necklaces. How many neckla
Kruka [31]

Answer: 36

Step-by-step explanation:

Given

The ratio of Mary's to Helen's necklaces is 25:9

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Suppose Helen has x necklaces

Therefore the ratio can be written like

\Rightarrow \dfrac{25}{9}=\dfrac{100}{x}\\\\\Rightarrow x=\dfrac{100}{25}\times 9\\\\\Rightarrow x=4\times 9\\\Rightarrow x=36

So, Helen has 36 necklaces

7 0
3 years ago
Acme annuities recently offered an annuity that pays 4.7% compound monthly. What equal monthly deposit should be made into this
Ksivusya [100]
Formula for Compound Interest

Amount = Principal * (1 + Rate/100)^Time
A = P * (1 + R/100)^T
P = A/((1 + R/100)^T) = 92000/((1 + 4.7/100)^16) = $44120.5503
4 0
4 years ago
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