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Sladkaya [172]
3 years ago
11

Find the perimeter & area of the rectangle

Mathematics
1 answer:
NikAS [45]3 years ago
8 0

Answer:

Perimeter = 34\sqrt{2} feet

Area = 60 feet²

Step-by-step explanation:

Let us revise the rules of perimeter and area of a rectangle

  • Perimeter = 2(Length + width)
  • Area = Length × Width

→ From the given figure

∵ The length = \sqrt{8} feet

∵ The width = 5\sqrt{18} feet

→ Simplify the roots

∵ \sqrt{8}=\sqrt{(2)(2)(2)}

∴ \sqrt{8}=2\sqrt{2}

∴ The length = 2\sqrt{2} feet

∵ 5\sqrt{18}=5\sqrt{(3)(3)(2)}

∴ 5\sqrt{18}=5(3)\sqrt{2}=15\sqrt{2}

∴ The width = 15\sqrt{2} feet

→ Perimeter = 2(Length + width)

∵ Perimeter = 2[2\sqrt{2}+15\sqrt{2}]

∴ Perimeter = 2[17\sqrt{2}]

∴ Perimeter = 34\sqrt{2} feet

→ Area = Length × Width

∵ Area = 2\sqrt{2} × 15\sqrt{2}

∴ Area = (2)(15)(\sqrt{2})(\sqrt{2})=(30)(2)=60

∴ Area = 60 feet²

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Morgarella [4.7K]

Answer:

l(n) = 80n + 520

Step-by-step explanation:

From the information given in the  question, there is a relationship between the number of new policy sold, n, and earning, I

           For 3 new policies, he earned $760

           For 5 new policies, he earned $920.

The rate of change of IIya's earning with respect to number of new policy sales is

             m = \frac{dI}{dn}

             m = \frac{920 - 760}{5 - 3}

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The linear equation for the relationship is;

             l(n) = mn + b

I(n) is Ilya’s weekly income which is a function of the number of new policies, n

m is the rate of change of I with respect to n

n is the number of new policies,

b is the intial function which is IIya's income when n equals zero

Recall, Ilya earns a commission of $80 for each policy sold during the week. (m = $80 per policy)

                 l(n) = 80n + b

To complete the relationship l, we need to calculate the initial value b.

For 3 new policies, he earned $760,

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             b = 760 - 520

             b = 520

The final equation is l(n) = 80n + 520

From the final equation, we can deduce that Ilya’s weekly salary is $520 and he earns an additional $80 commission for each new policy sold.

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<h3><u>Solution:</u></h3>

Given equation is:

2x + 3y - 6z = 30

We have to find the intercepts

Intercept are the point where equations cut the x- axis, y- axis and z- axis.

<em><u>Thus, at x- axis :</u></em>

y and z both are zero

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