2 years ago

A bird flies at a speed of 15 metres per second for 5 seconds, how far does the bird fly

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

4 0

You will have to divide 15 and 5

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A trapezoid has bases that measure 10 cm and 6 cm. The height of the figure is 15 cm. What is the area of th

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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:

The length of the sides b and c and angle B.

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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2 congruent sides would be an isosceles triangle

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