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Mathematics

1 answer:

8_murik_8 [283]3 years ago

4 0

Answer:

Ok..

Step-by-step explanation:

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A circle has a circumference of 18 pi find the radius

bazaltina [42]

$circumference = 2\pi \: r \\ 2\pi \: r = 18\pi \\ 2r = 18 \\ r = 9$

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3 years ago

The sides of ∆ABC are 30 units, 40 units, and 60 units long. The corresponding sides of ∆XYZ are r times as long as the sides of

san4es73 [151]

Part a) Find the expression that gives the perimeter of ∆XYZ

we know that

Perimeter of triangle ABC is equal to

$P=30+40+60\\ P=130\ units$

In this problem ∆ABC and ∆XYZ are similar triangles

the scale factor is equal to r

$scale\ factor=r \\ \\ scale\ factor=\frac{perimeter\ triangle\ XYZ}{perimeter\ triangle\ ABC} \\ \\ perimeter\ triangle\ XYZ=perimeter\ triangle\ ABC*scale factor\\ \\ perimeter\ triangle\ XYZ=130*r$

therefore

the answer Part a) is

The expression that gives the perimeter of ∆XYZ is $130*r\ units$

Part b) Find the expression that gives the area of ∆XYZ

we know that

$Area\ of\ triangle\ ABC=n\ units^{2}$

$scale\ factor=r \\ \\ scale\ factor^{2}=\frac{Area\ triangle\ XYZ}{Area\ triangle\ ABC} \\ \\ Area\ triangle\ XYZ=Area\ triangle\ ABC*scale factor^{2}\\ \\ Area\ triangle\ XYZ=n*r^{2}\ units^{2}$