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Sonbull [250]
3 years ago
10

Express in the form 1:1. Give 12 as a fully simplified fraction 8:6

Mathematics
1 answer:
GrogVix [38]3 years ago
7 0

Step-by-step explanation:

\frac{1}{1}  = 1:1

\frac{2}{2}  = 1:1

\frac{3}{3}  = 1:1

\frac{4}{4}  = 1:1

\frac{5}{5}  = 1:1

\frac{6}{6}  = 1:1

\frac{7}{7}  = 1:1

\frac{8}{8}  = 1:1

\frac{9}{9}  = 1:1

\frac{10}{10}  = 1:1

\frac{11}{11 }  = 1:1

\frac{12}{12}  = 1:1

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Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 30 feet long. The function y = 15 t
Stella [2.4K]

Answer:

A. 8.66 feet

B. 12.59 feet

C. Area of triangle when \theta=30  is 129.9 square feet. Area of triangle when \theta=40 is 188.85 square feet. Increasing the angle  \theta  increases the area.


Step-by-step explanation:

The equation that models the height of the triangle is:

y=15 Tan \theta

Where,

  • y is the height, and
  • \theta  is the angle

A.

When \theta=30 , the height is:

y=15Tan30\\y=8.66


B. When \theta=40[/tex\ , the height is:[tex]y=15Tan40\\y=12.59


C. <em>To find the area of the isosceles triangular shaped garden, we use the </em><em>formula for the area of the triangle</em><em>:</em>

A=\frac{1}{2}bh

Where,

  • A is the area
  • b is the base, which is given as 30 feet, and
  • h is the height [8.66 feet when the angle is 30 & 12.59 when angle is 40]

<u>When Vance uses \theta=30 , the area is</u>:

A=\frac{1}{2}(30)(8.66)\\A=129.9  square feet


<u>When Vance uses \theta=40 , the area is</u>:

A=\frac{1}{2}(30)(12.59)\\A=188.85  square feet


So we see that when the angle is more, the area is also more.

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Answer:

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