Answer:
$162,000
Step-by-step explanation:
sorry if its wrong
The sides of the triangle are 20 in, 48 in and 52 in
<u>Explanation:</u>
Given:
Let x be the length of smaller leg
Hypotenuse, H = x + 32
Height, h = x + 28
Length of the sides of a triangle = ?
If the triangle is a right angle triangle then we use pythagoras theorm to solve the question.
So,
(Hypotenuse)² = (height)² + (Base)²
(x + 32)² = (x + 28)² + (x)²
x² + 1024 + 64x = x² + 784 + 56x + x²
240 + 8x - x² = 0
x² - 8x - 240 = 0
Solving the quadratic equation:
x² + 12x - 20x - 240 = 0
x(x+12) - 20(x+12) = 0
(x-20) (x+12) = 0
(x-20) = 0
x = 20 in
Hypotenuse, H = x + 32
H = 20 + 32 in
H = 52 in
Height, h = x + 28
h = 20 + 28 in
h = 48 in
Therefore, the sides of the triangle are 20 in, 48 in and 52 in
Answer:
Step-by-step explanation:
- Mother's age = m
- Son's age = s
<u>3 years later:</u>
- m + 3 = 4(s + 3) ⇒ m = 4s + 12 - 3 = 4s + 9
<u>3 years ago:</u>
- m - 3 = 2(s + 8) ⇒ m = 2s + 18 + 3 = 2s + 21
<u>Solve for s by substitution:</u>
- 4s + 9 = 2s + 21
- 2s = 12
- s = 6
<u>Find the value of m:</u>
Mother is 33 and son is 6
1" = 2.5'
2.5'(3.75") = 9.375'
3.75" = 9.375'
For every inch is 2.5ft
1 - 2.5 ft
2 - 5 ft
3 - 7.5 ft
.75' - 0.625 ft
7.5' + 0.625' = 9.375"