Answer:
Option C and option D
Step-by-step explanation:
we have that

This is the equation of a vertical parabola open upward
The vertex is a minimum
Convert the equation into vertex form
Complete the square




----> equation of the parabola in vertex form
The vertex is the point (2,1)
therefore
when the bird is 2 feet away from the first fence post, it reaches its minimum height of 1 foot
Answer:
Step-by-step explanation:
Alright, lets get started.
Using sin Law,

Plugging the value of a, b and angle A




taking sin inverse on both sides

The may be another value of B that will called B' = 
We will not consider this B' value because the um of angle B' and A will exceeds 180 degree (
)
Thats why only one triangle is possible. : Answer
Hope it will help :)
A delightful question.
I think I have it.
The number is 22 .
Its factors are 1, 2, 11, and 22 .
Hello!
∠E and the angle measuring 119 degrees (we'll refer to this as ∠A) can be classified as supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees (a straight line). Therefore, we can conclude that sum of ∠E and ∠A is 180 degrees. We can use this information to create the following equation:
∠E + 119 = 180
Now subtract 119 from both sides of the equation:
∠E = 61
We have now proven that ∠E is equal to 61 degrees.
I hope this helps!
Answer:
the cyclists rode at 35 mph
Step-by-step explanation:
Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then
distance= speed*time
since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :
time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train
thus denoting v as the speed of the cyclists :
7/8*L / v = L / 40 mph
v = 7/8 * 40 mph = 35 mph
v= 35 mph
thus the cyclists rode at 35 mph