Answer:
2/3
Step-by-step explanation:
So find the change in x first....1 + 2 = 3....so, change in x is +2
Next find the change in y....-4 + 3 = -1....so, change in y is +3
Slope equals change in y/ change in x
So, the slope is 2/3
Hope this helps :D
Answer:
The circumference of the round pizza is 21.26in
Step-by-step explanation:
To solve this exercise we first have to calculate the radius of the circle, for this we will use the formula of area of a circle and we will clear the radius
a = area = 36in²
r = radius
π = 3.14
a = π * r²
we clear r
r = √(a/π)
now we replace the known values
r = √(36in²/3.14)
r = √(11.46in²)
r = 3.385 in
now we use the formula to calculate the circumference of a circle
c = π * 2r
c = 3.14 * 2 * 3.385 in
c = 21.26in
The circumference of the circle is 21.26in
Answer:
360 degree
Step-by-step explanation:
The sum of all the exterior angles is 360 for any polygon.
This can be proved for polygon with 20 sides also.
We know that sum of all the angles of polygon is given by formula = (2*n -4) *90
where n is the no. of sides of polygon
for 20 sides polygon sum of sum of all the angles = (2*20 -4) * 90
= (40-4)*90 = 36*90 = 3240 degree
measure of each angle of polygon = sum of total angles of polygon/ no of sides of polygon = 3240/20 = 162
We also know that sum of interior and exterior angle of triangle is 180 degree, as interior and exterior angle lies on straight line and they are supplementary
so
162 + value of exterior angle = 180
=> value of exterior angle = 180 - 162 = 18
Value of one exterior angle is 18 degree
in 20 sided polygon there are 20 exterior angle
therefore, value of 20 exterior angle is 18*20 degree which is 360 degree.
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As a general point one can memorize than sum of all the exterior angle for a polygon with any number of side is 360.
Answer:
Step-by-step explanation:
Time varies inversely with speed if the distance is constant. This means that if speed increases, the time it will take to cover the same distance will reduce
t = k/s
Where t = time
k = constant of inverse proportionality
s = speed
It takes James 4 hours to get to his destination when he travels at 65 miles per hour
4 = k/65
k = 65×4 = 260
t = 260/s
If he drove 15 miles/ hour faster, the new speed is 65 + 15 = 80miles/hour.
The time it will take him is
t = 260/s
t = 260/80 = 3.25 hours
The amount of time he would save is
4 hours - 3.25 hours = 0.75 hours
Converting 0.75 hours to minutes, we multiply by 60
Amount if time saved in minutes = 0.75×60 = 45 minutes
