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Readme [11.4K]
4 years ago
11

the measures of two adjacent sides of a parallelogram are in the ratio 17 : 7. If the second side measures 3.5 cm, find the peri

meter of the parallelogram?
Mathematics
1 answer:
Setler [38]4 years ago
5 0

Answer:

24 cm

Step-by-step explanation:

Given that there is a parallelogram and adjacent sides are in the ratio

17:7

The second side =3.5cm

So we have x:3.5 = 17:7 where x is the unknown first side

Solve using ratio property to get

3.5(17) = 7x

Or x = 8.5 cm

Perimeter of parallelogram = sum of all sides

= 2(sum of one pair of adjacent sides)

=2(8.5+3.5)

=2(12)

=24 cm

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Step-by-step explanation:

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3 years ago
(2x105)/(3x103) + 3x103 * 5x102
AleksAgata [21]

Answer:

1500066.66

Step-by-step explanation:

Given: (2\times10^{5} )/(3\times 10^{3} ) + 3\times10^{3} \times 5\times10^{2}

Now, simplifying it.

Using PEDMAS in solving the expression

First opening the parenthesis

= 2\times10^{5} /3\times 10^{3}  + 3\times10^{3} \times 5\times10^{2}

Next dividing the number

as per law of indices, x^{m} \div x^{n} = x^{m-n}

= 2\times10^{5-3} /3 + 3\times10^{3} \times 5\times10^{2}

= 2\times10^{2} /3 + 3\times10^{3} \times 5\times10^{2}

= \frac{2\times10^{2} }{3}  + 3\times10^{3}  \times 5\times10^{2}

Next multiplying the number as per PEDMAS

as per law of indices, x^{m} \times x^{n} = x^{m+n}

= \frac{2\times10^{2} }{3}  + 15\times10^{3+2}

= \frac{2\times10^{2} }{3}  + 15\times10^{5}

= \frac{2\times 100}{3}  + 15\times10^{5}

Next dividing the number as per PEDMAS

= 2\times 33.33  + 15\times10^{5}

Next multiplying the number as per PEDMAS

= 66.66+1500000

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4 0
3 years ago
the vertices of a triangle are located at (-3,-1), (2,3),(5,2). record the triangles perimeter to the nearest whole number
ELEN [110]

Answer:

The perimeter of the triangle is approximately equal to 18

Step-by-step explanation:

The coordinates of the vertices of the triangle are (-3, -1), (2, 3), and (5, 2)

The formula for the lengths, l, of the sides of the triangle, given their end points coordinates is presented as follows;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

The lengths of the segments that make up the triangle are therefore;

Between the vertex points (-3, -1) and (2, 3), we have, √((-3 - 2)² + (-1 - 3)²) = √41

Between the vertex points (-3, -1) and (5, 2), we have, √((-3 - 5)² + (-1 - 2)²) = √73

Between the vertex points (2, 3) and (5, 2), we have, √((2 - 5)² + (3 - 2)²) = √10

Therefore;

The perimeter of the triangle = The sum of the lengths of the sides of the triangle =  √41 + √73 + √10

The perimeter of the triangle = √41 + √73 + √10 ≈ 18.1094

∴ The perimeter of the triangle ≈ 18, after rounding to the nearest whole number.

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3 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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