In △ABC, m∠ACB=90°, m∠ACD=60°,
CD
is the altitude to
AB
, and BD = 5 cm. Find AD.

5cm

Step-by-step explanation:

Find the diagram attached.

From ΔBCD, ∠BCD = 90-∠ACD

∠BCD = 90-60

∠BCD = 30°

Also tan60 = CD/BD

tan 60 = CD/5

CD = 5tan60

CD = 5√3 cm

Similarly from ΔACD, tan30 = CD/AD

tan30 = 5√3/AD

AD = 5√3/tan30

AD =  5√3/(1/√3)

AD = 5√3 * √3/1

AD = 5 cm

Hence the length of side AD is 5cm

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

step-by-step explanation:

the answer is 89 d

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