Answer:
<em>Hence the daughter's present age is 15 years</em>
<em>The fathers present age is 35 years</em>
<em></em>
Step-by-step explanation:
Let the present age of daughter be x
Let the present age of father be y
5 years ago;
Daughter's age = x - 5
Fathers age = y - 5
If the present age of father is thrice as old as the age of daughter 5 years ago, then;
y - 5 = 3(x-5)
y - 5 = 3x-15
y = 3x - 10 .... 1
In 5 years time;
Daughters age = x + 5
Fathers age = y + 5
If the age of father will be twice the age of his daughter in 5 years time then;
y+5 = 2(x+5)
y+5 = 2x + 10
y = 2x + 5 .....2
Equate 1 and 2;
3x - 10 = 2x + 5
3x - 2x = 5 + 10
x = 15
Since y = 2x + 5
y = 2(15) + 5
y = 35
<em>Hence the daughter's present age is 15 years</em>
<em>The fathers present age is 35 years</em>
<em></em>
The measure of angle theta is 30 degrees.
This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees
To do this, simply add the 2 functions-as it says:
(2x+1) + (-3x+4)
2x+1-3x-4
-x-3
Your answer is -x-3
Answer:
The last option is correct. (f*g)(x) = x² - 5
Step-by-step explanation:
Since is f * g you have to multiply them together.
x² - 2 * x - 3 (x)
Next ust simplify.
x² -5x
Answer: The dimensions are 8 and 3
Step-by-step explanation:
So 8*3=24 which corresponds with the formula for area l*w= Area
And perimeter means we add up all 4 sides so
8+8+3+3= 22
So the dimensions are 8 and 3
