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Scorpion4ik [409]
3 years ago
10

What is the value of tan D ?

Mathematics
2 answers:
4vir4ik [10]3 years ago
8 0

Answer:

12/5

Step-by-step explanation:

Tan D = opp/adj = EF/DE = 12/5

DaniilM [7]3 years ago
8 0

Answer:

\frac{12}{5}

Step-by-step explanation:

Review:___________________

tan=opposite/adjacent

_________________________

since DEF is a right triangle at point E

then

tan(∠EDF) = EF/ED

                 = 12/5

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irina1246 [14]

sin^2 x + 4 sinx +3       3 + sinx

--------------------------  =  -------------------

cos^2 x                        1 - sinx


factor the numerator


(sinx +3) (sinx+1)       3 + sinx

--------------------------  =  -------------------

cos^2 x                        1 - sinx


cos^2 = 1-sin^2x

(sinx +3) (sinx+1)       3 + sinx

--------------------------  =  -------------------

1- sin^2x                       1 - sinx

factor the denominator

(sinx +3) (sinx+1)       3 + sinx

--------------------------  =  -------------------

(1-sinx ) (1+sinx)                   1 - sinx

cancel the common term (1+sinx)  and (sinx +1)

(sinx +3)                       3 + sinx

--------------------------  =  -------------------

(1-sinx )                           1 - sinx


reorder the first term

3+sinx                           3 + sinx

--------------------------  =  -------------------

(1-sinx )                           1 - sinx

3 0
3 years ago
What is the value of x?<br><br> A. 2 Units<br> B. 3 Units<br> C. 5 Units<br> D. 8 Units
Fudgin [204]

You need the formula for geometric mean for right triangles as it applies to the altitude. For us, that formula will be \frac{BD}{AD}=\frac{CD}{BD} where BD is your altitude. The formula then, filled in accordingly, would be \frac{10}{x}=\frac{4x}{10}. We cross multiply to get that 4x^2=100. Divide both sides by 4 to get x^2=25, so x = 5. Choice C is the one you want.

7 0
3 years ago
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