Mathematics: Please help me with this quick I’ll mark you and the picture is above

Please help me with this quick I’ll mark you and

perezrhonda30

08.02.2022

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Let's find the slope of line, considering the two points (2 , 1) and (8 , 9)

$\qquad \sf \dashrightarrow \: \dfrac{9 - 1}{8 - 2}$

$\qquad \sf \dashrightarrow \: \dfrac{8}{6}$

$\qquad \sf \dashrightarrow \: \dfrac{4}{3}$

So, the required choice is A. 4/3

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espinosajoselyn

05.05.2023

The length of the hypotenuse is of 143 ft.

Step-by-step explanation:

Relations in a right triangle:

The cosine of an angle $\theta$ , in a right triangle, is given by the length of the adjacent side divided by the length of the hypotenuse.

In this question:

$\cos{43} = \frac{109}{h}$

Using a calculator, the cosine of 43 degrees is of 0.73135. So

$0.73135 = \frac{109}{h}$

0.73135h = 109

$h = \frac{109}{0.73135}$

h = 149

The length of the hypotenuse is of 143 ft.

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