Part A: Net A is correct
Net B is incorrect because de triangular sides do not close the opening left in both sides.
Part B: AB=3 in., BC=5in., CD=8.6in.
Part C: The surface area of the prism is the area of the the big rectangle in the net + the area of the 2 triangles
Area of the big rectangle
8.6• ( 3+4+5)= 103.2 in ^2
Area of the triangles
If we get the 2 trangles together along their longest side we get another rectangle
3•4 =12 in^2
Surface area of prism is 103.2+12=115.2 in^2
Answer:
radius r = 3 cm
height h = 10 cm
volume V = 282.743339 cm^3
lateral surface area L = 188.495559 cm^2
top surface area T = 28.2743339 cm^2
base surface area B = 28.2743339 cm^2
total surface area A = 245.044227 cm^2
In Terms of Pi π
volume V = 90 π cm3
lateral surface area L = 60 π cm^2
top surface area T = 9 π cm^2
base surface area B = 9 π cm^2
total surface area A = 78 π cm^2
Step-by-step explanation:
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Agenda: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
The probability that both of the students are on Team D is about 5.56%
There are 4 teams, so the first person has a 1/4 chance of being on Team D.
However, for the second person, there are only 6 spots left out of 27 to be on Team D.
To find the combined probability, we need to multiply the two fractions.
1/4 times 6/27 = 1/18 or about 5.56%
4
Put the smol 7 next to it !!
If you factor the equation you can see what the solutions are. Two factor a quadratic of the form ax^2+bx+c, find two values which satisfy two conditions...
jk=ac=-15 and j+k=b=-2 so j and k must be -5 and 3 so the factors are:
(x-5)(x+3)
So the other solution is x=5
