Answer:
x=-3/19
y=39/19
Step-by-step explanation:
the equations can be written as the following system

If the second equation is multiplied by 3/2 it will become -18x+3y=9
If that equation is then subtracted with the first you will obtain the following
-19x=3, it means x=-3/19
The other variable is obtained by substituting the new value for x in the first equationx+3y=6, thus we obtain that y=39/19
Answer:
The equation would be 2,250 - 120<em>m</em>
Answer:
15
Step-by-step explanation:
The 30-60-90 triangle rule is 2x-x-3(square root of x). Hope this helps.
Answer:
300
Step-by-step explanation:
That would be 2.25 / 0.0075
= 300
Answer:
(3 S.F)
Step-by-step explanation:
Diameter of circle (D) = one side of the equilateral ∆
Circumference of the circle = πD = 48 cm
Thus:
πD = 48
Divide both sides by π
D =
= 15.3 cm (approximated to nearest tenth)
Since all sides an equilateral ∆ are equal, therefore, and the diameter, D, of the circle given is the same as the length of one side of the ∆, therefore, all sides of the equilateral triangle would be 15.3 cm.
Recall that the area of a triangle can be found if we know lengths of the two sides of the ∆ and the measure of the included angle between both sides.
Since an equilateral ∆ has equal angles, each measuring 60°, then we already have all the information needed to calculate the area of the ∆.
Thus:
Length of the two sides = 15.3 cm and
15.3 cm
Included angle = 60°
Use the following formula:

Where,
a = 15.3 cm
b = 15.3 cm
C = 60°
Plug the values into the formula to find the area.


(3 S.F)