Answer:
Option C. 3√3
Step-by-step explanation:
Please see attached photo for brief explanation.
In the attached photo, we obtained the following:
Opposite = a
Adjacent = 3
Hypothenus = 6
Angle θ = 60°
We can obtain the value of 'a' as follow:
Tan θ = Opposite /Adjacent
Tan 60° = a/3
Cross multiply
a = 3 x Tan 60°
But: Tan 60° = √3
a = 3 x Tan 60°
a = 3 x √3
a = 3√3
Therefore, the length of the altitude of the equilateral triangle is 3√3.
Answer:
hello!!!
We will learn it simple method,we know that multiplication of whole numbers is repeated addition. For example
3*4= 4+4+4
in this same way we can say that
[-12]=(-3)+(-3)+(-3)+(-3)
also,
4(*-3)=(-12)
for the second equation we can take it same as the above one
So it make no diffrence when we multiplied integers as (positive)*(negative) OR (NEGATIVE)*(POSITIVE)
And so now we can say
FOR ANY TWO POSITIVE INTEGER a and b WE CAN SAY
(-a) *(b) = (-b)*(a) = -(a*b)
HOPE FULLY U MAY LIKED MY ANSWER GIVE POSITIVE FEEDBACK AND IF WANTS ANYTHING OTHER YOU MAY ASK ME IN COMMENT
Answer:
See below...
Step-by-step explanation:
Theoretical probability is the probability that something should happen based on the beginning conditions. Such as having a jar of 30 marbles with 5 being blue. The probability of pulling out a blue marble when selecting 1 marble is
5/30, or 1/6. Theoretically you should pull one blue marble out every 6 times you pull a marble out.
This isn't guaranteed to happen though, that's where experimental probability comes form.
Experimental probability is the number of desired outcomes achieved, divided by the total number of outcomes. This is based on what actually happened. Say you selected a marble, and put it back 10 times, recording the color each time and you got 2 blue marbles. Your experimental probability is
2/10, or 1/5, which doesn't match the theoretical probability. The more times this experiment is conducted, the closer your result will be to the theoretical probability
Answer:
10.5
Step-by-step explanation:
Parallel lines have the same slope, in this case 3.
To find the y intercept we plug in the points (2,1) into y=mx+b, with 2 being x and 1 being y.
1=3(2) + b
Solve this and you get -5 as the y intercept.
The equation is y=3x-5
