0.3666.....
If a number is repeating singly, just know it has to do with dividing by 9.
Let the number be x = 0.36.... (i)
Multiply both sides by 10.
10x = 3.66... (ii)
Equation (ii) - (i)
10x - x = 3.66 - 0.36
9x = 3.3
x = 3.3/9
x = (33/10)*(1/9)
x = 33/90
x = 11/30
The simplest fraction is 11/30
Answer:
Option C is correct.
Ratio of longer leg to hypotenuse is;
Step-by-step explanation:
This is the special right angle triangle 30°-60°-90° as shown below in the figure.
- The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.
- The side opposite the 60° angle will be the longer leg, because 60 degrees is the mid-sized degree angle in this triangle.
- Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.
In 30°−60°−90° right triangle,
- the length of the hypotenuse is twice the length of the shorter leg,also
- the length of the longer leg is times the length of the shorter leg.
Then:
the sides are in proportion i.e,
Therefore, the ratio of the length of the longer leg to the length of its hypotenuse is:
An intersection point, is a shared coordinate. If the equations share a coordinate we can say they are "equal". There are two ways (algebraically) to find this point. Substitution or linear combination. Because the coefficients are different, let's use linear combination
First stack the equations on top of each other.
2x + 3y = 5
3x + 4y = 6
Next let's manipulate one or both of the equations to get coefficients that are equal, but opposite. For this I'm going to turn the coefficient of x into 6 and -6 respectively by multiplying the first equation by 3 and the second by -2 to get
6x + 9y = 15
-6x -8y = -12
Now we can combine the equations with addition and the x's will cancel leaving a single variable (which we can solve)
y = 3
Now plug this back into either original equation to find the x coordinate.
2x + 3(3) = 5
2x + 9 = 5
2x = -4
x = -2.
So your intersection point is (-2,3)
Answer:
mABC = 110
Step-by-step explanation:
Answer:
No solution
Step-by-step explanation:
There is no option good for the two graphs.
I think simple vertical stretch or simple vertical compression will occur at the same side of axis, but |x| located at quadrant I and II while -1/2|x| located at quadrant III and IV.
The answer should be "reflect over the x axis and then vertical stretch"