I need answers for 1 and 2

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

8 0

1. Slope 3/4, through (4,-1)

y = 3/4 x + b

-1 = 3/4(4) + b

-1 = 3 + b

-1 - 3 = b

-4 = b

y = 3/4 x - 4

2. Slope = - 1/2, through (3,0)

y = -1/2 x + b

0 = -1/2(3) + b

0 = -1.5 + b

0 + 1.5 = b

1.5 = b

y = -1/2 x + 1.5

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In the figure below, BCA ~ STR. Find cos C, sin C, and tan C. Round your answers to the nearest hundredth.

arsen [322]

Answer:

$\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63$

Step-by-step explanation:

According to the trigonometric ratios in aright triangle :

$\sin x =\dfrac{\text{Side opposite to x}}{\text{Hypotenuse}}\\\\\cos x =\dfrac{\text{Side adjacent to x}}{\text{Hypotenuse}}\\\\\tan x=\dfrac{\sin x}{\cos x}$

Given: ΔBCA ~ ΔSTR

Since , corresponding angles of two similar triangles are equal.

So, ∠C = ∠T ...(i) [Middle letter]

In triangle STR

$\sin T=\dfrac{\text{Side opposite to T}}{\text{Hypotenuse}}\\\\=\dfrac{26.4}{30.9}\approx0.85\\\\\cos x =\dfrac{\text{Side adjacent to T}}{\text{Hypotenuse}}\\\\=\dfrac{16.2}{30.9}\approx0.52\\\\\tan T=\dfrac{\sin T}{\cos T}\\\\=\dfrac{0.85}{0.52}\approx1.63$ ...(ii)