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s344n2d4d5 [400]

2 years ago

6

Find the area of this shape

2 answers:

AVprozaik [17]2 years ago

7 0

Answer:

40 ft squared

Step-by-step explanation:

On the top right corner cut the shape and you will have a length of 4 ft and width of 2 ft. 4ft x 2ft = 8ft squared. Now your other shape at the bottom which would be a big rectangle has a width of 8ft and a length of 4ft. 8ft x 4ft = 32 ft squared. Now 8ft squared + 32 ft squared = 40 ft squared that would be its area.

allsm [11]2 years ago

7 0

Answer:

36 ft²

Step-by-step explanation:

Area = 4 × 4 + 6 × 4

Area = 16 + 20

Area = 36 ft²

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Precal : Note: Triangle may not be drawn to scale. Suppose a = 3 and A = 15 degrees

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Given:

In a right triangle at B,

$\begin{gathered} a=3 \\ A=15^{\circ} \end{gathered}$

To find:

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Explanation:

Using the trigonometric ratio,

$\begin{gathered} sinA=\frac{a}{c} \\ \sin15^{\circ}=\frac{3}{c} \\ c=\frac{3}{\sin15^{\circ}} \\ c=11.59 \\ c\approx11.6 \end{gathered}$

Using the trigonometric ratio,

$\begin{gathered} \tan A=\frac{a}{b} \\ \tan15^{\circ}=\frac{3}{b} \\ b=\frac{3}{\tan15^{\circ}} \\ b=11.19 \\ b\approx11.2 \end{gathered}$

Using the angle sum property,

The angle B becomes,

$\begin{gathered} 90+15+B=180 \\ B=180-90-15 \\ B=75^{\circ} \end{gathered}$

Final answer:

The values are,

$\begin{gathered} b=11.2 \\ c=11.6 \\ B=75^{\circ} \end{gathered}$

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