Answer:
height = 14.2 m , base = 7.1 m
Step-by-step explanation:
let the base be b then height h = 2b
The area (A) of a triangle is calculated as
A = bh
Here A = 50 , then
× b × 2b = 50
b² = 50 ( take square root of both sides )
b = ≈ 7.1 ( to the nearest tenth )
Then base = 7.1 m and height = 2 × 7.1 = 14.2 m
Answer:
Gina is 12 years old
Step-by-step explanation:
First, we will have to write these statements mathematically and then solve.
Let Gina's age be x, let Gina's brother's age be y and let Gina's sister's age be z.
The second statement"Gina's older sister is twice Gina's age" can be mathematically written as: z =2 x ---------------------------(1)
The next statement "Gina's brother is half Gina's age" can be mathematically written as y = ---------------------------------------(2)
Then the next statement "the sum of their ages is 42" can be mathematically written as: x + y + z = 42 ----------------------------(3)
We can now proceed to solve;
Substitute equation (1) and equation(2) into equation (3)
x + y + z = 42
x + + 2x = 42
Multiply through by 2
2x + x + 4x = 84
7x = 84
Divide both-side of the equation by 7
=
x = 12
Therefore, Gina is 12 years old