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lutik1710 [3]
3 years ago
9

The length of a rectangle is 3 ft more than twice the width, and the area of the rectangle is 54 ft2. find the dimensions of the

rectangle.
Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0
A = L * W
A = 54
L = 2W + 3

54 = W(2W + 3)
54 = 2W^2 + 3W
2W^2 + 3W - 54 = 0
(2W - 9)(W + 6) = 0

2W - 9 = 0
2W = 9
W = 9/2
W = 4.5 <== width

W + 6 = 0
W = -6....it wont be this one because it is negative

L = 2W + 3
L = 2(4.5) + 3
L = 9 + 3
L = 12 <==length
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Mandarinka [93]

Answer:

285 min

275 min

chi

tie

Step-by-step explanation:

swim - 1.5 km

bicycle ride - 40 km

run - 10 km

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transition 1 time = 4 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 3 min

run time = distance / velocity = 10 / 6 = 1.6666667 hr = 100 min

so total time to complete the triathlon is

= 18 + 4 +160 + 3 +100

= 285 min = 4.75 hrs

2) Chi

swim time = distance / velocity = 1.5 / 6 = 0.25 hr = 15 min

transition 1 time = 5 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 5 min

run time = distance / velocity = 10 / 7.5 = 1.3333333 hr = 80 min

got flat tire that took 10 min to fix

so total time to complete the triathlon is

= 15 + 5 + 160 + 5 + 80 + 10

= 275 min

3) Alexandra won the race by 10 min

4)even though chi got flat tire , chi still won the race by 10 min,

if it took 20min to fix flat tire both their times would be 285 min and it would have been a tie.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

Let's rewrite the given equation into the form of y=mx+c, so that we can find the gradient of the line. In this form, m (coefficient of x) is the gradient.

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2y= 4x -3

<em>Divide</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>

y = 2x - 1 \frac{1}{2}

Thus the gradient is 2.

Parallel lines have the same gradient thus the line would also have a gradient of 2.

Substitute m=2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x=2, y=1,

1= 2(2) +c

1= 4 +c

c= 1 -4

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Thus, the equation of the line is y= 2x -3.

5 0
3 years ago
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german

Answer:

x = (22/17), y= (79/17)

Step-by-step explanation:

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7 0
3 years ago
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melamori03 [73]

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6 0
3 years ago
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