Answer:
The answer is 14
Step-by-step explanation:
14x2=28
14x3=42 so the greatest common factor is 14
Answer:
The area of the sidewalk is 144.44 m².
The 2-m wide walk adds 4 m to the diameter, making it 21+4=25.
Since the radius is half the diameter, r = 25/2 = 12.5.
The area of the entire bed with walkway is 3.14(12.5)² = 490.625 m².
The diameter of the bed is 21, so the radius is 21/2 = 10.5.
The area of just the flower bed is 3.14(10.5)² = 346.185.
The difference between the two is 490.625-346.185 = 144.44 m². This is the area of the walkway.
<em>Have a Great Day!</em>
6. It is asking you to find the surface area for this one:
1 litre = 0.001 cubic meters
15.4 litres = 0.0154 cubic meters
The volume of the cylinder has to be 0.0154m^3.
V = (pi(r)^2)h
0.0154 = (pi(r)^2)(1)
r^2 = 0.0154/pi
r = 0.07m
Surface Area of Circles on Bottom:
A = pi(r)^2
A = pi(0.07)^2
A = 0.0154
0.0154*2 = 0.0308m^2
Surface Area of Walls:
This will be the circumference of the circle times the height, since the walls are just like a big rectangle.
C = 2pi(r)
C = 2pi(0.07)
C = 0.44m
0.44*1 = 0.44m^2
Finally, add the two surface areas:
0.44 + 0.0308 = 0.47m^2
You will need 0.47m^2 of sheet metal to make this cylinder.
7. Find the volume of everything and just the graphite, and subtract the graphite’s volume from everything to get just the wood. The volume of a cylinder is pi((r)^2)h.
Everything:
Watch out for units, since the diameter is in mm and the length is in cm.
r = 3.5mm or 0.35cm
V = pi((0.35)^2)(14)
V = 5.34cm^3
Graphite:
r = 0.5mm or 0.05cm
V = pi((0.05)^2)(14)
V = 0.11cm^3
5.34 - 0.11 = 5.23cm^3
8. For this problem, it wants your answer in cm^3. Find the volume of one bowl and multiply it by 250:
r = 3.5cm
V = pi((3.5)^2)(4)
V = 153.94cm^3
153.94*250 = 38484.51cm^3 of soup needed.
I sure hope that I didn’t confuse you too much with all of my math gibberish (sorry). Please let me know if there is anything else that I can help with. Have a nice day
Answer:
Step-by-step explanation: the pattern is going positive to negative and going further away from zero so the next term would be -3
Answer:
z =15cm and
y=9.0cm
Step-by-step explanation:
Use sine rule
12/ sin53 = z / sin 90
Z = 12 x sin 90 / sin 53
Z = 15cm
To find y the angle opposite to y will be 180-(90+53)=37º
So
15/sin 90= y/sin37
y= 15 x sin37 /sin 90
y = 9.0cm
