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andrey2020 [161]
4 years ago
10

O perímetro de um campo retangular é de 80 metros e sua area é de 320 metros quadrados. Encontre as dimensões do campo, corrija

o décimo de metro mais próximo.
Mathematics
1 answer:
dalvyx [7]4 years ago
8 0

Answer:

Comprimento: 28.9 m; Largura: 11.1 m

Step-by-step explanation:

P = 2(C + L) = 80

A = CL = 320

2(C + L) = 80

CL = 320

C + L = 40

CL = 320

C = 40 - L

CL = 320

(40 - L)L = 320

40L - L^2 = 320

L^2 - 40L + 320 = 0

aL^2 + bL + c = 0

L = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

L = \dfrac{-(40) \pm \sqrt{(-40)^2 - 4(1)(320)}}{2(1)}

L = \dfrac{40 \pm \sqrt{1600 - 1280}}{2}

L = \dfrac{40 \pm \sqrt{320}}{2}

L = \dfrac{40 \pm \sqrt{64 \times 5}}{2}

L = \dfrac{40 \pm 8\sqrt{5}}{2}

L = 20 \pm 4\sqrt{5}

L \approx 28.9 or L \approx 11.1

L = 28.9

C = 40 - L = 40 - 28.9 = 11.1

Answer: Comprimento: 28.9 m; Largura: 11.1 m

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Josh makes a $1500, 5% simple interest personal loan to his friend Sean for a period of 8 years. When Sean settles his loan at t
nataly862011 [7]

Answer:

$2100

Step-by-step explanation:

I = prt

I = $1500(0.05)(8)

I = $1500(0.4)

I = $600

$1500 + $600

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4 0
3 years ago
N/13 = 4; N=52? IS THE GIVEN VALUE IS A SOLUTION OF THIS EQUATION?
hichkok12 [17]
Yes, because 54 divided by 13 equals 4,    52/13=4
4 0
3 years ago
Help please :)<br> You can have 15 points if you answer it correctly (if I'm not mistaken)
dusya [7]

Answer:

$466

Step-by-step explanation:

Represent her salary by s.  Then the amount spent on rent is s/2.

After spending 168 on her electric and water bills, she had s/2 - 168 dollars left.  She spent half of this on her phone bill, leaving her with

s/2 - 168

-------------- dollars.  

       2

After buying $57 worth of gas, she had

s/2 - 168

-------------- - 57 dollars left, and this came to $92.  

       2

We must now solve for s.

First, multiply all three terms by 2.  We get

s/2 - 168 - 2(57) = 2(92), or

s/2 - 168 - 114 = 184

Simplifying this, we get s/2 = 168 + 114 + 184, or s/2 = 466.

She spent half her salary (that is, half of s) on rent.  As seen above, this is $466.

7 0
3 years ago
Reflect triangle a in the line y = 1
alekssr [168]

Answer:

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3 years ago
Read 2 more answers
What is the value of x
goblinko [34]

Answer:

52/3

Step-by-step explanation:

Use basic Thales therom,

\frac{3x}{4x}=\frac{3x+7}{5x-8}\\\\\frac{3}{4}=\frac{3x+7}{5x-8}\\

Cross multiply,

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3*5x - 3*8 = 4*3x + 4*7

15x - 24 = 12x +28

Add 24 to both sides

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Subtract 12x from both sides

15x-12x =52

3x = 52

Divide both sides by 3

x = 52/3

8 0
3 years ago
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