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2 years ago

The diagram shows a right-angled triangle.

Mathematics

1 answer:

alex41 [277]2 years ago

7 0

Answer:

h = 20.3 cm

Step-by-step explanation:

Apply trigonometric ratio formula to find h.

Reference angle = 40°

Opposite side length = 17 cm

Adjacent side = h

Thus:

Tan (40) = 17/h

h × tan (40) = 17/h × h (multiplication property of equality)

h × tan(40) = 17

(h×tan(40)/tan(40) = 17/tan(40) (division property of equality)

h = 20.3 cm (1 decimal place)

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2 years ago

A table measures x+4 inches long and 5x+12 inches wide. What is the perimeter of the table?

tangare [24]

Answer:

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Step-by-step explanation:

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3 years ago

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exis [7]

Answer:

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Step-by-step explanation:

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3 years ago

Write an equation of the line that passes through the points (-2,-2) and (0,5)

marshall27 [118]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&&(~ -2 &,& -2~) 
&&(~ 0 &,& 5~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-(-2)}{0-(-2)}\implies \cfrac{5+2}{0+2}\implies \cfrac{7}{2}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-2)=\cfrac{7}{2}[x-(-2)]
\\\\\\
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3 0

3 years ago