Answer:
Total surface area of the given figure is 246.75 square mile.
Step-by-step explanation:
Surface Area of the given figure = Lateral surface area + Area of the base
Lateral surface area of the figure = Sum of the areas of 5 triangular surfaces
=
=
= 162.75 mi²
Surface area of the pentagonal base = 84 mi²
Total surface area of the figure = 162.75 + 84
= 246.75 mi²
Therefore, total surface area of the given figure is 246.75 square mile.
Answer:
Sue has traveled 124 miles.
Step-by-step explanation:
Here, the distance covered by Sue is a fraction of the total distance to be covered.
The total distance to her aunt's = 372 miles
but the gas station is at one-third of the distance to be covered.
Thus,
Miles traveled by Sue = x 372
= 124
Miles traveled by Sue = 124 miles.
Therefore Sue has traveled 124 miles.
Answer:
His average speed on the second day is 35 miles per hour.
Step-by-step explanation:
Consider the provided information.
On first day, he drove 2 hours longer than he drove on second day.
Let x = Number of hours he drove on second day.
Then x + 2 = Number of hours he drove on first day.
It is given that he drove a total of 18 hours.
Therefore,
He drove 8 hours on second day.
x + 2 = 8+2=10
He drove 10 hours on first day.
Let y = speed driven on second day.
y + 5 = speed driven on first day.
As we know: Distance = speed × time
On first day he covers a distance of:
Distance = 10(y+5)
On second day he covers a distance of:
Distance = 8(y)
Total distance = Day 1 distance + Day 2 distance
Hence, his average speed on the second day is 35 miles per hour.
Let
A(4,0)
B(12,5)
C(20,10)
we know that
The x-intercept of the line is the value of x when the value of y is equal to zero
The y-intercept of the line is the value of y when the value of x is equal to zero
The point A(4,0) is the x-intercept of the line
<u>Find the slope AB</u>
m=(y2-y1)/(x2-x1)
mAB=(5-0)/(12-4)--------> mAB=5/8
<u>with the slope m and the point A(4,0) find the equation of the line</u>
y-y1=m*(x-x1)----------> y-0=(5/8)*(x-4)-------> y=(5/8)x-2.5-----> y=0.625x-2.5
<u>Find the y-intercept</u>
For x=0
y=0.625*0-2.5---------> y=-2.5
the y-intercept is the point (0,-2.5)
therefore
<u>the answer is</u>
the x-intercept is the point (4,0)
the y-intercept is the point (0,-2.5)
see the attached figure to better understand the problem
