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Tatiana [17]
3 years ago
5

How can you use ratios to determine if two figures are similar?

Mathematics
1 answer:
boyakko [2]3 years ago
3 0

Answer:

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor .

Step-by-step explanation:

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The area of a rectangular fountain is x2 + 9x + 20 square feet. A 3-foot walkway is built around the fountain. Find the dimensio
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Answer:

(x+11) by (x+10)

Step-by-step explanation:

We know that Area = Length x width

Given: Area = x²+9x+20

Lets sort this out first

Area = x²+5x + 4x + 20

Area = x(x+5) + 4(x+5)

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Therefore, it is concluded that:

Length 'l' = (x+5) feet

Width 'w' = (x+4) feet

if a 3-foot walkway is built around the fountain, we'll add 3 feet on both sides

Therefore,

Outer Length = (x+5+3+3) = (x+11) feet

Outer Width = (x+4+3+3) = (x+10) feet

Answer:

The fountain is (x+5) by (x+4).  

dimensions of the outside border of the walkway are (x+11) by (x+10)

8 0
3 years ago
Anyone who knows how to do this right please
Elan Coil [88]

Answer:

13. 9.77 inches (rounded to 3 s.f.)

14. 249m² (rounded to 3 s.f.)

Step-by-step explanation:

13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2

\frac{80}{360} × pi × 7 × 2 = 3\frac{1}{9}pi

                       = 9.77 inches (rounded to 3 s.f.)

14. To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r × r

\frac{285}{360} × pi × 10 × 10 = 79\frac{1}{6}pi

                          = 249m² (rounded to 3 s.f.)

5 0
2 years ago
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