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Alecsey [184]
2 years ago
14

26. Figure B is the image of Figure A.

Mathematics
1 answer:
sweet [91]2 years ago
5 0

The scale factor of dilation is \LARGE \frac{1}{4}.

<h3>What is scale factor?</h3>

When describing an enlargement you must state by how much the shape has been enlarged or reduced.

Area of triangle B =\frac{1}{2} * b *h

                                = 0.5 x 2 x 3

                               = 3 units

Area of triangle A =\frac{1}{2} * b *h

                                = 0.5 x 4 x 6

                               = 12 units

Scale factor =\frac{Area of \; triangle B}{Area of\; triangle A}

                    =\frac{3}{12}

                    = \frac{1}{4}

Hence, the scale factor of dilation is \LARGE \frac{1}{4}.

Learn more about scale factor here:

brainly.com/question/22312172

#SPJ1

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AlekseyPX

Answer:

Her father is 81 inches tall.

Step-by-step explanation:

She is 2/3 as tall as her father so we divide her height by 2. 54/2=27 and then we multiply 27 by three to get 81 inches.

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Step-by-step explanation:

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3 years ago
X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
sweet-ann [11.9K]

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

6 0
3 years ago
A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5.
Ira Lisetskai [31]
For this problem, it can be solved by forming two equations. The first equation is the area of the original rectangle. Let l be the length and w be the width.  l x w = 72 will be 1st equation. Then, the 2nd equation is 3.5l * 3.5w = A. By substitution, the new area, A = 12.25( l x w) = 12.25 (72) = 882 in<span>².</span>
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4 years ago
Hmm, I need someone to answer this. Just answer it right, if you don't know it then don't answer, It's annoying. It's probably r
Phoenix [80]

Answer:

Step-by-step explanation:

A)

f(s)=2s+25 and s(w)=25w

f(w)=2(25w)+25

f(w)=50w+25

B)

The ujits for the composite function are f=number of flowers and w=number of weeks.

C)

f(30)=50(30)+25

f(30)=1500+25

f(30)=1525

3 0
3 years ago
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