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Maru [420]
3 years ago
11

A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find cos B, tanB, and sin B. (Plz I need he

lp)​

Mathematics
1 answer:
n200080 [17]3 years ago
6 0

Answer:

5/13, 12/5, 12/13

Step-by-step explanation:

cos = adj/hyp

tan = opp/adj

sin = opp/hyp

hyp = 13

adj = 5

opp = 12

Plug in.

cos = 5/13

tan = 12/5

sin = 12/13

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Point A is at (-2,4) and point C is at (4,7). Find the coordinates of point B on AC such that the ratio of a B to a C is 1:3
Diano4ka-milaya [45]

Answer:

[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]

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Step-by-step explanation:

We have been given that point a is at   (-2,4) and point c is at   (4,7) .

We are asked to find the coordinates of point b on segment ac such that the ratio is 1:3.

We will use section formula to solve our given problem.

When point P divides a segment internally in the ratio m:n, the coordinates of point P would be:

[x=\frac{mx_2+nx_1}{m+n}, y=\frac{my_2+ny_1}{m+n}]

\texttt{Let point} (-2,4)=(x_1,y_1) \texttt {and point} (4,7)=(x_2,y_2).

[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]

[x=\frac{4-6}{4}, y=\frac{7+12}{4}]

[x=\frac{-2}{4}, y=\frac{19}{4}]

[x=-0.5, y=4.75]

Therefore, the coordinates of point 'b' would be (-0.5 , 4.75).

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