Answer:
m∠1 = 70
Step-by-step explanation:
A line is 180 degrees
The angles of a triangle total to 180 degrees
180 - 101 = 79
79 + 31 = 110
180 - 110 = 70
Answer:
It would roll in this direction.

Step-by-step explanation:
It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.
Since

For this case, the gradient of your function would be

And -1 times the gradient of your function would be

Then, at

So it would go towards

The magnitud of that vector is

and to conclude it would roll in this direction.

The slope intercept form would be y= -1/2x + 1 and to get it into standard form all you have to do is move the -1/2 x to the other side, making it 1/2x + y = 1
Answer:
6.298 meters
Step-by-step explanation:
Here, we are told that x is the time of the dive in minutes.
We simply first need to convert 150 seconds to minutes before substitution into the regression formula;
Kindly recall that 60 seconds = 1 minute
So 150 seconds will be 150/60 = 2.5 minutes
We now proceed to substitute into;
j = 0.010 + 2.515(x)
i = 0.010 + 2.515(2.5)
j = 0.010 + 6.2875
j = 6.2975 which go 3 decimal places is 6.298 meters
The probability of getting heads while flipping a coin for three times is 1/2
<u>Explanation:</u>
When a coin is flipped then there are two possible outcomes.
We can either get a heads or a tail.
If a coin is flipped three times and the possibility of getting heads would be 3
Total number of outcomes would be 6 ( 2 possible outcomes X 3 times toss)
Therefore, probability of getting heads would be = 3/6
= 1/2
Therefore, the probability of getting heads while flipping a coin for three times is 1/2