Okay to do this you will need to set up a simple equation and give out variables.
Girls age = x-6
Brother's age= *
the you will take those 2 and add them and place them equil to 135 like so:
x-6+x=135
2x-6+6=135+6
2x=141
2x/2=141/2
x=70.5
The brothers age would be 70.5 then and the girl's would be 64.5
Answer:
43°.
Step-by-step explanation:
To find the measures of the other two angles, we will need to use various angle properties.
We can use the Supplementary Angles formula to find the adjacent angle to the angle that measures 123°.
180 - 123 = 57°. This is the measure of the first angle.
Now, to find the measure of the second angle, we know that these are vertical angles meaning they are congruent. Therefore, the measure of the angle is 80°.
To find 'x', we will simply need to subtract from 180:
180 - 80 - 57 = 43°.
4 is in the hundredths place in 1.848
Answer:
The equation of the circle is
Step-by-step explanation:
we know that
The equation of a circle in standard form is equal to
where
(h,k) is the center
r is the radius
step 1
Find the radius of the circle
The radius of the circle is equal to the distance from the center to any point on the circle
we have
(–5, –3) and (–2, 1)
Find the distance
the formula to calculate the distance between two points is equal to
substitute
step 2
Find the equation of the circle
we have
substitute
therefore
The equation of the circle is
Answer:
A(max) = (9/2)*L² ft²
Dimensions:
x = 3*L feet
y = (3/2)*L ft
Step-by-step explanation:
Let call "x" and " y " sides of the rectangle. The side x is parallel to the wall of the house then
Area of the rectangle is
A(r) = x*y
And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x + 2y becomes x + 2*y
Then
6*L = x + 2* y ⇒ y = ( 6*L - x ) /2
And the area as function of x is
A(x) = x* ( 6*L - x )/2
A(x) = ( 6*L*x - x² ) /2
Taking derivatives on both sides of the equation we get:
A´(x) = 1/2 ( 6*L - 2*x )
A´(x) = 0 ⇒ 1/2( 6*L - 2*x ) = 0
6*L - 2*x = 0
-2*x = - 6*L
x = 3*L feet
And
y = ( 6*L - x ) /2 ⇒ y = ( 6*L - 3*L )/ 2
y = ( 3/2)*L feet
And area maximum is:
A(max) = 3*L * 3/2*L
A(max) = (9/2)*L² f²