X is the radius of the slice. So we must find the equation of the side of the cone.
y=mx+b, so now we must use two points to solve for the slope, or "m".
m=(y2-y1)/(x2-x1)
m=(0-15)/(5-0)
m=-15/5
m=-3 so our line so far is:
y=-3x+b, b=y-intercept=value of y when x=0, which we can see is 15 ft so:
y=-3x+15
Now the radius is x, so we must solve for x from the equation above...
-3x+15=y subtract 15 from both sides
-3x=y-15 divide both sides by -3
x=(15-y)/3
And area of this circle is:
A=πx^2, and using x found above:
A=(π/9)(15-y)^2
A=(π/9)(225-30y+y^2), so when y=6 ft
A=(π/9)(225-30*6+6^2)
A=(π/9)(81)
A=9π or if we let π=pi
A=9pi ft^2
The starting prices for both of the books are at 100%, and taking 25% from the second book it would be 75%. You will have 75% of each value of the books while they're on sale, which you can convert to decimal .75. Multiply this decimal by each of the books' values to figure out how much they'll be on sale and then add them, which would total up to 36 + 18= 54$. By dividing this value by the book's original value, 60$, would equal it to .9. Converting the .9 to a percent and subtracting it by 100%, It's reduced by 10%.
Answer:
$17 on food per person
Step-by-step explanation:
The cost of parking a car is $5
Assuming that the friends used one car, then the parking cost=$5
Admission cost is 19
For three people, Admission cost =19*3=57
TOTAl COSTS=Parking cost+Admission cost
TOTAl COSTS=57+5=62
Remaining amount can be used for food
FOOD= 113-62=51
Therefore each person can spend 51/3=$17 on food
I hope this was helpful and clear to follow
To answer 13 you have to convert the numbers there are 8 pints in a gallon so 64/8=8 so there are 8 gallons
For 14 you would do 64x9=576 and there are 12in in a foot so 576/12 so 48 ft and there are 3 feet in a yard so 48/3=16 so Devon need 16 yds of ribbon
Where are the two questions ?
