The present age of father is 86 years old and present age of son is 48 years old
<em><u>Solution:</u></em>
Given that, a father is now 38 years older than his son
Ten years ago he was twice as old as his son
Let "x" be the age of son now
Therefore, from given,
Father age now = 38 + age of son now
Father age now = 38 + x
<em><u>Ten years ago he was twice as old as his son</u></em>
Age of son ten years ago = age of son now - 10
Age of son ten years ago = x - 10
Age of father ten years ago = 38 + x - 10
Then we get,
Age of father ten years ago = twice the age of son ten years ago
38 + x - 10 = 2(x - 10)
28 + x = 2x - 20
2x - x = 28 + 20
x = 48
Thus son age now is 48 years old
Father age now = x + 38 = 48 + 38 = 86
Thus present age of father is 86 years old and present age of son is 48 years old
Answer:
(x +4)^2 + (y-2)^2 = 16
Step-by-step explanation:
We can write the equation for a circle with the formula
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
We know the center is at (-4,2) and the radius is 4
(x- -4)^2 + (y-2)^2 = 4^2
(x +4)^2 + (y-2)^2 = 16
Answer:
tan (C) = 2.05
Step-by-step explanation:
Given:
A right angled triangle CDE right angled at ∠D.
Side CD = 39
Side DE = 80
Side CE = 89
We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.
Therefore, tangent of angle C is given as:
Plug in the given values and solve for angle C.This gives,
Therefore, the measure of tangent of angle C is 2.05.
Answer:
I think the answer is x is 16 and y is 20? I could be wrong tho
Step-by-step explanation:
First, subtract -7 from -1 to get 8.
Then, add the 12 and you get 16 for x.
First, subtract 7y from 9x to get 2y
Then, add 4 to get 20 for y.
Answer:
30 feet is represented by 3 3/4 inches on the drawing
Step-by-step explanation:
We have the relation as;
1 inch = 8 feet
Thus;
3 3/4 inches = x feet
x = 3 3/4 * 8
x = 15/4 * 8
x = 30 feet
