180° = π radian
1° = π/180 radian
∵ 145° = π/180 × 145
= 36π/29 radian
Answer:
perimeter = 50
Step-by-step explanation:
Tangents to a circle from an external point are congruent , then
perimeter = (8 + 8) + (10 + 10) + (7 + 7) = 16 + 20 + 14 = 50
Answer:
y = 2x + 11
Step-by-step explanation:
The first thing we need to do
is to find the slope of the line that passes through the points (-4,-3) and (4,1)
Mathematically, that would be;
m = y2-y1/(x2-x1)
where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)
substituting these. values we have;
m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5
Now we are told this line is perpendicular to another line that passes through another point.
We can find the slope of this other line
Since both lines are perpendicular, the product of their slope is -1.
Thus , -0.5 * m = -1
m = -1/-0.5 = 2
So the slope of the other line is 2
Using the point-slope form;
y-y1= m(x-x1)
The point for the other line is (-4,3)
So the equation will be
y-3 = 2(x+4)
y-3 = 2x + 8
y = 2x + 11
Answer:
0.2416
Step-by-step explanation:
P(forgot to water | dead) = P(forgot and dead) / P(dead)
->With water it will die with probability 0.45
P(watered and dead) =0.83 x 0.45 = 0.3735
->Without water the plant will die with probability 0.7
P(forgot and dead) = (1-0.83) x 0.7 => 0.17 x 0.7 =>0.119
P(dead) = P(watered and dead) +P(forgot and dead)
P(dead) = 0.3735 + 0.119= 0.4925
P(forgot to water | dead) =0.119 / 0.4925= 0.2416
Therefore, the probability the neighbor forgot to water the plant is 0.2416
