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notka56 [123]
3 years ago
7

A parallelogram with a base of y units and a height of x units is changed to have a new base of 3y units and a height of 2x unit

s, as shown in the figures below. if the area of the original parallelogram is 47 square units, determine the area of the new parallelogram.

Mathematics
2 answers:
nataly862011 [7]3 years ago
5 0
The formula for the area of a parallelogram is

A=b*h    where b=base and h=height

if the base were to increase by 3times and the height were to increase by 2 times then
6A=b*h
The area of the parallelogram would be 6 times larger

So if the original area was 47units², then the new area would be

47*6=282units²

Answer=282units²

ycow [4]3 years ago
5 0
See attachment image.

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crimeas [40]

Answer:

The base and height  of the garden are 4.60 ft and 5.60 ft.

Step-by-step explanation:

The area of the garden is, <em>A</em> = 24 ft².

The base height of the garden are:

base (<em>b</em>) = 6x - 4

height (<em>h</em>) = x + 3

Compute the value of <em>x</em> as follows:

A=\frac{1}{2}\times b \times h\\\\24=\frac{1}{2}\times (6x-4) \times (x+3)\\\\48=6x^{2}+18x-4x-12\\\\6x^{2}+14x-60=0\\\\3x^{2}+7x-30=0\\

The last equation is a quadratic equation.

Compute the roots of the quadratic equation as follows:

x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -14 \pm \sqrt{14^2 - 4(3)(-30)}}{ 2(3) }\\x = \frac{ -14 \pm \sqrt{556}}{ 6 }\\x = \frac{ -14 }{ 6 } \pm \frac{2\sqrt{139}\, }{ 6 }\\x = -\frac{ 7}{  3 } \pm \frac{ \sqrt{139}\, }{  3 }\\x = 1.59661\\x\approx 1.60

The value of base and height are:

\text{base}=6x-4=(6\times 1.60)-4=5.60\ \text{ft}\\\\\text{height}=x+3=1.60+3=4.60\ \text{ft}

Thus, the base and height  of the garden are 4.60 ft and 5.60 ft.

3 0
3 years ago
If light travels at 10,000 km in 3.0 x 10² seconds,
eduard

Answer:

1000xm

Step-by-step explanation:

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1 year ago
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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.

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Answer:

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