Answer:
155v^4
Step-by-step explanation:
Since you need an isolated variable to use the substitution method, we need to re-arrange one of the equations. This will probably be easiest to do with the first one.
Add 5y to both sides of the first equation.
x=10+5y
Now, in the second equation, put in 10+5y in any spot that has an x.
2(10+5y)-10y=20
Distribute the 2 to both numbers in the parenthesis.
20+10y-10y=20
Combine like terms.
20=20
This means that the two equations are actually the same. You can see this if you multiply the whole first equation by 2
2(x-5y=10)
2x-10y=20, which is the same as the second equation. Therefore, the two equations are actually the same one.
Answer:
AC = 18
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos30° =
, then
cos30° =
=
=
=
( cross- multiply )
2 AC = 12
×
= 12 × 3 = 36 ( divide both sides by 2 )
AC = 18
Answer:
The area of the sector of the circle is approximately
Step-by-step explanation:
The given parameters of the circle having a shaded sector are;
The radius of the circle, r = 4 meters
The measure of the arc bounding the sector = 135°
The area of a sector of a circle, 'A', is given as follows;

Therefore, the area, 'A' of the given sector of the circle, is given as follows;

The area of the sector of the circle, with radius 4 cm and bounded by an arc, A ≈ 18.82 cm².