Answer
Option B - 72 miles.
Step-by-step explanation:
Starting from the same point when bike riding, two individuals are riding. Tom and Juanita goes on biking in opposite directions to each other. Tom rides at speed of 18 mph and Juanita rides at speed of 18 mph in one hour. This will both be added together. And later will be add both speed in second hour that gives us the final value. The answer of this will be seventy two miles.
18+18 in one hour
18+18 in second hour
= 72 miles
N 1 FRONT LEFT TOWER
[surface area of a prism]=[area of the base]+perimeter*h------> only one base
[surface area of a prism]=[3*3]+[4*3]*50----> 609 units²
[surface area of a triangular pyramid]=[area of the 4 triangles]----> without base
[area of 1 triangle]=3*h/2
h²=3²+1.5²----> h²=11.25-----> h=√11.25 units
[area of 1 triangle]=3*√11.25/2-----> 5.03 units²
[surface area of a triangular pyramid]=[4*5.03]-----> 20.12 units²
surface area of the front left tower=609+20.12-----> 629.12 units²
[volume of a prism]=[3*3*50]=450 units³
volume of a triangular pyramid]=[area of the base]*h/3
volume of a triangular pyramid]=[3*3]*3/3-----> 9 units³
[volume of the front left tower]=450+9------> 459 units³
N 2 FRONT RIGHT TOWER
[surface area of a cylinder]=[area of the base]+perimeter*h--> only one base
[surface area of a cylinder]=[pi*3²]+[2*pi*50]--> 342.26 units²
[surface area of a cone]=pi*r*l------> without base
r=3 units
l²=r²+h²-----> 3²+3²-----> 18---------> l=√18 units
[surface area of a cone]=pi*3*√18------> 39.97 units²
surface area of the front right tower=342.26+39.97------> 382.23 units²
[volume of a cylinder]=pi*r²*h
[volume of a cylinder]=pi*3²*50-----> 1413 units³
[volume of a cone]=pi*r²*h/3
[volume of a cone]=pi*3²*3/3----> 28.26 units ³
[volume of the front right tower]=1413+28.26-----> 1441.26 units³
N 3 BACK LEFT TOWER
[surface area of a cylinder]=[area of the base]+perimeter*h--> only one base
[surface area of a cylinder]=[pi*3²]+[2*pi*50]--> 342.26 units²
[surface area of hemisphere]=2*pi*r²
[surface area of hemisphere]=2*pi*3²-------> 56.52 units²
surface area of the back left tower=342.26+56.52-----> 113.04 units²
[volume of a cylinder]=pi*r²*h
[volume of a cylinder]=pi*3²*50-----> 1413 units³
[volume of a hemisphere]=(4/6)*pi*r³
[volume of a hemisphere]=(4/6)*pi*3³-----> 56.52 units³
[volume of the back left tower]=1413+56.52-------> 1469.52 units³
N 4 BACK RIGHT TOWER
[surface area of a triangular prism]=[area of the base]+perimeter*h------> only one base
find the area of the base
h²=3²-1.5²-----> h=√6.75
[area of the base]=3*√6.75/2----> 3.90 units²
[surface area of a triangular prism]=[3.90]+[3*3*50]-----> 453.9 units²
[surface area of a triangular pyramid]=[area of the 3 triangles]----> without base
[area of 1 triangle]=3*h/2
h²=3²+1.5²----> h²=11.25-----> h=√11.25 units
[area of 1 triangle]=3*√11.25/2-----> 5.03 units²
[surface area of a triangular pyramid]=[3*5.03]-----> 15.09 units²
surface area of the back right tower=453.9+15.09-----> 468.99 units²
[volume of a triangular prism]=area of the base *height
find the area of the base
h²=3²-1.5²-----> h=√6.75
[area of the base]=3*√6.75/2----> 3.90 units²
[volume of a triangular prism]= 3.90*50------> 195 units³
volume of a triangular pyramid]=[area of the base]*h/3
volume of a triangular pyramid]=[3.90]*3/3------> 3.90 units³
[volume of the back right tower]=195+3.90------> 198.90 units³
N 5 CENTRAL BUILDING
[surface area]=2*[area of the base]+perimeter of the base *heigth
[surface area]=100*50*2+2*(150)*30-----> 10000+9000-----> 19000 units²
surface area of the central building=19000 units²
volume of the central building =100*50*30-----> 150000 units³
volume of the central building=150000 units³
N 6
total surface area=629.12+382.23+113.04+468.99+19000-----> 20593.38 unit²
total volume=459+1441.26+1469.52+198.90+150000------> 153568.68 units³
Answer:
4 hours
Step-by-step explanation:
Given
Car 1:
Car 2:
--- i.e. 2 hours after car 1
Required
Determine the time car 1 will meet car 2
To do this, we calculate the distance of both cars using:
For Car 1:
For Car 2:
Open bracket
When car 2 meets up with car 1, they are at the same distance.
So:
Collect Like Terms
Solve for h
<em>Car 2 will catch car 1; 4 hours from the start</em>
Equation of a circle is given by (x - a)^2 + (y - b)^2 = r^2; where (a, b) is the center of the circle.
By comparison, (x - 2)^2 + (y + 5)^2 = 16 has center at point (2, -5).
Translating the circle 4 units to the left and 1 unit up gives a new center at point (2 - 4, -5 + 1) = (-2, -4)
Answer:
the measure of the inscribed angle is equal to the measure of its intercepted arc.
