Since 111 is greater than 33, I will assume that you meant 11 votes for a candidate. Also, assuming that each student can vote only once, the answer would be
11/33 x 100=33.333333...
About 33.333 of the voters voted for candidate a.
This can be done algebraically:
300*x=330 Where x is the multiplier
Therefore x=330/300=1.1
To find a percentage of a number you multiply by the percentage divided by 100.
So 330 is 110% of 300, which is an increase of 10%.
Answer:
Step-by-step explanation:
You have a 30-60-90 triangle. The sides of a 30-60-90 are in the ratio 1:√3:2.
The side opposite the 30° angle is 5, so the side opposite the 60° angle is 5√3, and the side opposite the 90° angle is 5×2 = 10.
x = 5√3
y = 10
Answer:
The equation of line with given points is y - 4 = 3 ( x + 2 ) .
Step-by-step explanation:
Given as :
The points of line are ( 1 , 13 ) and ( - 2 , 4 )
The point slope intercept equation of line is
y -
= m ( x -
)
Where m is the slope of line
So , Slope , m = 
Or, m = 
Or, m = 
∴ m = 3
Now The equation of line is
y -
= m ( x -
)
Or. y - 13 = 3 ( x - 1 )
Or, y - 13 = 3 x - 3
Or, y = 3 x - 3 + 13
∴ y = 3 x + 10
I.e y - 4 = 3 x + 6
Or, y - 4 = 3 ( x + 2 )
Hence The equation of line with given points is y - 4 = 3 ( x + 2 ) . Answer
<u>Solu</u><u>tion</u><u> </u><u>:</u><u>-</u>
Given coordinates to us are ,
- P(2,3) .
- Q(3,4).
- R(5,6)
- S(4,5)
Here it is asked to Prove that these are vertices of Rhombus . So we know that all sides of a Rhombus are equal .So if we show that value of all sides lenght are equal , then it will be a Rhombus .
We will use Distance Formula .
Now , here ,
<u>Dista</u><u>nce</u><u> </u><u>betwe</u><u>en</u><u> </u><u>P</u><u> </u><u>and</u><u> </u><u>Q</u><u> </u><u>:</u>
⇒ x = √ (2 - 3)² + (3-4)² .
⇒ x = √ (-1)² + (-1)² .
⇒ x = √ 1 + 1 .
⇒ x = √2 .
<u>Dista</u><u>nce</u><u> </u><u>betwee</u><u>n</u><u> </u><u>Q</u><u> </u><u>and</u><u> </u><u>S</u><u> </u><u>:</u>
⇒ x =√ [ (3-4)² + (5-4)².
⇒x = √ 1² + 1² .
⇒ x = √ 1 + 1 .
⇒ x = √2 .
Similarly we can prove other distances equal.