First, let us define our variables.
Let
x = age of the father
y = age of the son
z = age of the daughter
5 years ago..
(x – 5) = age of the father
(y – 5) = age of the son
(z – 5) = age of the daughter
After 18 years...
(x + 18) = age of the father
(y + 18) = age of the son
(z +18) = age of the daughter
From the first condition
y = z + 5 à
eqn 1
5 years ago
(x-5) = 23 + (y-5) + (z-5)
x –y –z = 18 à
eqn 2
after 18 years
(x+18) = 17*[(y +18 –z – 18)]
x – 17y + 17z = -18 à
eqn 3
solving the 3 equations simultaneously
x = 67
y = 27
z = 22
Answer:
12.69 inches.
Step-by-step explanation:
Let h represent the length of the hypotenuse.
We have been given that a right triangle contains a 38° angle whose adjacent side measures 10 centimeters. We are asked to find the length of the hypotenuse.
We know that cosine relates adjacent side to hypotenuse of right triangle.
Upon rounding to the nearest hundredth of a centimeter, we will get:
Therefore, the length of the hypotenuse is approximately 12.69 inches.
Do what ? post for i can help you
Hi, there!
_____
To find the missing side length of this triangle (which is a <em>right</em> triangle), we'll use Pythagoras' Theorem.
Here,
Hypotenuse (the longest side): c
We know that
So, we can substitute our parameters, and solve for c.
square 2 and 28
add the numbers
square root both sides
Hope the answer - and explanation - made sense,
happy studying!!
Answer:
350
Step-by-step explanation: