Time spent 4 hours (240 minutes) from point A (state park) to point B (beach)
Distance from A to B is 240 mi.
240mi/4hours = 60 miles/hour
Part A.
What we can do to solve this problem is to assume that
the acceleration of Bryan is constant so that the velocity function is linear.
The standard form of a linear function is in the form:
y = m x + b
or in this case:
v = m t + b
where v is velocity and t is time, b is the y –intercept of
the equation
The slope m can be calculated by:
m = (v2 – v1) / (t2 – t1)
m = (12 – 15) / (7 – 4)
m = -1
Since slope is negative therefore this means the cyclist
are constantly decelerating. The equation then becomes:
v = - t + b
Now finding for b by plugging in any data pair:
15 = - (4) + b
b = 19
So the complete equation is:
v = - t + 19
This means that the initial velocity of the cyclists at t
= 0 is 19 km / h.
Part B. What we can do to graph the equation is to
calculate for the values of v from t = 0 to 12, then plot all these values in
the Cartesian plane then connect the dots.
To solve this problem, we should first recall that the circumference
is the measure of the total arc enclosing the circle. The formula for
circumference is:
Circumference = 2 π r
where r is the radius of the circle
Now since we are only looking for a fraction of the arc,
not the total arc, therefore this simply means we are finding for a portion of the
circumference. Now we use the formula:
Arc length = (θ / 360) * 2 π r
Where θ/360 represents how much of the fraction is the arc
Convert angle to degrees: θ = 1.5 rad (180° / π
rad) = (270/π)°
Therefore the arc length is:
Arc length = (270/π / 360) * 2 π (8 inches)
Arc length = 12 inches
A rhombus is quadrilateral where all 4 sides are of equal length. Thus
5x + 2 = 2x + 12
3x = 10
x = 10/3
substituting x into either expression, yields
56/3
therefore side AB = 56/3
Answer:
I believe the answer is A. m + 68 = 185; m = 117
Step-by-step explanation:
