Answer:
Step-by-step explanation:
The formula of the circumference of a circle is 
.
The length of an arch can be found by using the ratio of circumference to the arc.
First, find the circumference of the circle:
Then you find the ratio:
The length of the arc is 90/360, which is 1/4, of the circumference.
Finally, find the length of the arc:
or
I hope this helps :)
Answer:
slope = - 
Step-by-step explanation:
Differentiating implicitly with respect to x
2x + 2y 
= 0
2y = - 2x
= - 
= - 
is the measure of the slope of the tangent
rearrange equation to find corresponding y-coordinate of x = - 2
y² = 16 - 4 = 12 = 2
⇒ y = ± 2
using x = - 2, y = - 2, then
= - 
= -
Answer:
what is expected at 7am is 15 inches deep snow but what we have is 12 inches deep snow. The equation has failed in its prediction.
Step-by-step explanation:
In this question, we are asked to calculate if the prediction made by an equation modeled is correct.
Firstly let’s look at the equation in question;
y = 3t - 6
where y is the snow depth and t is the number of hours after midnight.
now we are looking at 7am, that’s 7 hours past 12am, meaning 7 hours after midnight.
let’s plug the value of t as 7 into the equation
y = 3(7) - 6
y = 21-6
y = 15 inches
according to the equation by Kevin, what is expected is 15 inches deep snow but what we have is 12 inches deep snow. The equation has failed in its prediction.
