The diagram shows a right-angled triangle. a 12 cm 24 cm Find the size of angle x.

Mathematics

1 answer:

Vlada [557]2 years ago

6 0

Given that , Length of Base and Hypotenuse is 12 cm and 24 cm , respectively .

Need To Find : The measure of Angle x .

As We know that ,

Cos ∅ = Base / Hypotenuse

ㅤㅤ By Substituting known Values :

ㅤ⤀Cos x = 12/24

ㅤ⤀Cos x = ½

ㅤ⤀Cos 60⁰ = ½

Therefore,

Value of Angle x is 60⁰

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If logx27 + logy4 =5 and logx27 - logy4 =1 find x and y

Elanso [62]

Answer:

Hello,

I have reply too quick in comments (sorry)

Step-by-step explanation:

$\left\{\begin{array}{ccc}log_x (27)+log_y (4)=5\\log_x (27)-log_y (4)=1\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2*log_x (27)=6\\2*log_y (4)=4\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}log_x (27)=3\\log_y (4)=2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x^{log_x (27)}=x^3\\y^{log_y (4)}=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}27=x^3\\4=y^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x=3\\y=2\\\end{array}\right.\\\\$