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LenKa [72]
4 years ago
11

The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t

hese triangles?
Mathematics
1 answer:
BaLLatris [955]4 years ago
7 0

Answer:

Perimeter of first triangle = 102.73

Perimeter of 2nd triangle = 123.27

Step-by-step explanation:

Dividing the area of two triangle we can find the square of the scale factor:

\frac{72}{50}  = 1.44

Scale factor will become = \sqrt{1.44} = 1.2

Sum of perimeter of triangle = 226dm

perimeter of triangle = x + y + z = p

perimeter of first triangle = 1.2(x + y + z) = 1.2p

perimeter of 2nd triangle = (x + y + z) = p

Permieter of first triangle + Perimeter of second triangle = 226

1.2(p) + p = 226

2.2p = 226

p = 102.73 // This is the perimeter of 2nd triangle

For finding permieter of first triangle, multiply it with 1.2

102.7 * 1.2 = 123.27 // This is the perimeter of 1st triangle

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Answer:

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Step-by-step explanation:

The density formula is

d=\frac{m}{v}

Rearrange the formula for v. Multiply both sides of the formula by v, then divide both sides by d.

d*v=\frac{m}{v}*v

d*v=m

\frac{dv}{d}=\frac{m}{d}

v=\frac{m}{d}

The volume can be found by dividing the mass by the density. The mass is 7525 grams and the density is 1.25 grams per milliliter.

m= 7525 \ g\\d=1.25 \ g/mL

v=\frac{m}{d}

v=\frac{7525\ g}{1.25\ g/mL}

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v=\frac{7525 \ }{1.25\ mL}

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7 0
3 years ago
Read 2 more answers
Quadrilateral ABCD is located at A (−2, 2), B (−2, 4), C (2, 4), and D (2, 2). The quadrilateral is then transformed using the r
Mademuasel [1]
New cordinates are formed by adding 7 in x and subtracting 2 from y
A(−2, 2) =A ' (-2 +7 , 2 - 1 ) = A' (5,1)
B(−2, 4)  = B' (-2 + 7 , 4 -1 )= B' (5,3)
C(2, 4)   =  C' (2 + 7 , 4 -1 )= C' (9,3)
<span>D(2, 2)   D' (2 + 7 , 2 -1 ) = D' ( 9 , 1)</span><span>

</span>
8 0
3 years ago
Anika is hiking on a rectengular trail at the nation park there are four resting spots along the corners of the trail on the map
Drupady [299]

Answer:

The perimeter is 14 units

<em></em>

Step-by-step explanation:

Given

A = (-2,2)

B = (1,2)

C = (1,-2)

D = (-2,-2)

Required

Determine the perimeter

To do this, we simply calculate the distance between the sides of the rectangle i.e. AB, BC, CD and DA.

Distance (d) is calculated using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

For AB

A = (-2,2) --- (x_1,y_1)

B = (1,2) --- (x_2,y_2)

AB = \sqrt{(-2 - 1)^2 + (2 - 2)^2} = \sqrt{9} = 3

For BC

B = (1,2) --- (x_1,y_1)

C = (1,-2) --- (x_2,y_2)

BC = \sqrt{(1-1)^2 + (2--2)^2} = \sqrt{16} = 4

For CD

C = (1,-2) --- (x_1,y_1)

D = (-2,-2) --- (x_2,y_2)

CD = \sqrt{(1 - -2)^2 + (-2 -- 2)^2} = \sqrt{9} = 3

For DA

D = (-2,-2) --- (x_1,y_1)

A = (-2,2)  --- (x_2,y_2)

DA = \sqrt{(-2--2)^2 + (-2-2)^2} = \sqrt{16} = 4

So, the perimeter (P) is:

P = AB + BC + CD + DA

P = 3 +4 + 3 + 4

P = 14

<em>The perimeter is 14 units</em>

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Answer:

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Step-by-step explanation:

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Distribute:

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Distribute again:

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Answer:

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