Answer:
19 degrees
Step-by-step explanation:
You know the sum of the interior angles of a triangle is 180 degrees.
So then you can make the equation 82 + 41 + 3x = 180
By solving for x, you get the answer:
123 + 3x = 180
3x = 57
x = 19 degrees
Hope dis helps ya
Answer:
yes
Step-by-step explanation:
Answer:
There will be approx 283908 hits.
Step-by-step explanation:
A website had 342,000 hits in 2011.
This is a decline of 2.3% from the previous year.
Decline rate = 2.3% or 0.023
So, increase rate will be 
Time = 
We can calculate the answer as:
= 
= 283907.88 rounding to 283908.
Therefore, there will be approx 283908 hits.
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.
h'(t) = -32t + 16
When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.
-32t + 16 = 0
-32t = -16
t = 0.5 seconds
b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.
h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet
If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.
c.) We know that the horse is in the air whenever h(t) is greater than 0.
-16t^2 + 16t = 0
-16t(t-1)=0
t = 0 and 1
So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
