Answer:
The circumference of a circle is pi times diameter, so half-way around the pond is (1/2)pi times diameter.
The difference between walking around the pond and walking across the bridge is: 1.57d - d = 0.57d
Plug in diameter of 0.25
0.25*0.57 = 0.14 miles
Step-by-step explanation:
Answer:

Step-by-step explanation:
Use the slope-intercept form:

m is the slope and b is the y-intercept. Looking at the graph, you can find the y-intercept. The y-intercept is the point where x equals 0:


To find the slope, take any two points from the line:

Use the slope formula for when you have two points:

The rise over run is the change in the y-axis over the change of the x-axis. Insert the appropriate values:


Simplify parentheses (two negatives makes a positive):


Simplify (two negatives make a positive):

The slope is
and the y-intercept is
. Insert these into the equation:

Finito.
Answer:
-1/2
Step-by-step explanation:
It's the exact opposite. aka the negative version of the number.
Answer:
1 + sin2x
Step-by-step explanation:
Given
(sinx + cosx)² ← expand using FOIL
= sin²x + 2sinxcosx + cos²x
[ sin²x + cos²x = 1 and sin2x = 2sinxcosx ]
= 1 + sin2x
Step-by-step explanation:
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