Call (F) the age of the father and (J) the age of Julio
The F & J are related in this way: F=4J
Now you have a restriction in the form of inequality: The sum of both ages has to be greater or equal than 55.
Algebraically that is: F + J ≥ 55
You can substitute F with 4J to find the solution for J:
4J + J ≥ 55
5J ≥ 55
Now divide both sides by 5
5J/5 ≥ 55/5
J ≥ 11
That Imposes a lower boundary for the value of J of 11, meaning that the youngest age of Julio can be 11
Answer:
11.8° and 78.2°
Step-by-step explanation:
let the angles be x and x + 66.4
complementary angles sum to 90° , then
x + x + 66.4 = 90
2x + 66.4 = 90 ( subtract 66.4 from both sides )
2x = 23.6 ( divide both sides by 2 )
x = 11.8 and
x + 66.4 = 11.8 + 66.4 = 78.2
The 2 angles are 11.8° and 78.2°
Answer:
If you want me to turn it into an equation it's: y=12x-1
Step-by-step explanation:
Well, the slope will always be first and you have to put x after it. The y-intercept is always the starting point on a graph, so it'll be last on the equation.
The first one equals 0.00116
The second one equals 195,000
the third one equals 0.0286
and the fourth one equals 87,310,000,000,000,000
The smallest one is A 0.00116
Hope this helps, Jesus loves you!
Answer: Line AB = 5.2
Step-by-step explanation: We start with triangle ACD, with two sides given and angle A which shall be the reference angle can be calculated as,
SinA = opposite/hypotenuse
Where the opposite is 4.3 (line facing the reference angle) and the hypotenuse is 5.6 (line facing the right angle)
SinA = 4.3/5.6
SinA = 0.7679
By use of a calculator or a table of values
A = 50.17 degrees.
Having been told that both angles DAC and BAD are equal, then we move to triangle ADB where the reference angle is 50.17 (BAD) and the opposite is 4 (line facing the reference angle) and the unknown side is the hypotenuse (line AB).
Sin 50.17 = opposite/hypotenuse
Sin 50.17 = 4/AB
0.7679 = 4/AB
By cross multiplication we now have
AB = 4/0.7679
AB = 5.2090
Approximately to one decimal place,
AB = 5.2 units