10
,
−
5
,
−
14
3
,
9
,
3.77
,
−
1
3
π
,
9
,
−
3.8
,
23
The natural numbers are:
10
,
9
,
9
,
23
The whole numbers are:
10
,
9
,
9
,
23
The integers are:
10
,
−
5
,
9
,
9
,
23
The rational numbers are:
10
,
−
5
,
−
14
3
,
9
,
3.77
,
9
,
−
3.8
,
23
The irrational number is:
−
1
3
π
Answer:
D
Step-by-step explanation:
We can rule out the second and third because the y intercept in those graphs are not 1
Now lets look at the point 2,5 on graph a
y=1/2x+1
so 5=1+1 but that is false
D is the answer by elimination
there are 3600 seconds per hour
5280 feet per mile
1 foot per second = 3600/5280 = 0.681818 Miles per Hour
60 seconds per minute
so 1500/60 = 25 feet per second
25 x 0.681818 = 17.05 miles per hour
Answer:
4,218.75
Step-by-step explanation:
Lets say that P is your starting principal (spelled -pal and not -ple, because Your Money is Your Pal), r is the interest rate (expressed as a decimal), and Y is the number of years you invest. Then your future value will be:
P (1 + rY) (Simple Interest)
P (1 + r)Y (Annually Compounded Interest)
Note the two formulas give the same answer for one year. After that, compound interest takes off.
7.) Area of a square pyramid is given by A = s^2 + 2sl; where s is the side length of the base and l is the slant height.
Area of given pyramid = 4^2 + (2 x 4 x 7) = 16 + 56 = 72 ft^2
8.) Area of the given pyramid is the area of the hexagonal base plus the area of the six slant triangles.
Area of hexagonal base = (3sqrt(3))/2 x 10^2 = 150 x 1.732 = 259.8
Area of the 6 traingles = 6(1/2 x 10 x 13) = 6 x 65 = 390
Total surface area of the pyramid = 259.8 + 390 = 649.8 ≈ 650 m^2
9.) Using pythagoras rule, the slant height is sqrt(6^2 + 3.5^2) = sqrt(36 + 12.25) = sqrt(48.25) = 6.9 mm
10.) The surface area of a cone is given by πr^2 + πrl
Area = π x 6^2 + π x 6 x 20 = 36π + 120π = 490.1 cm^2
11.) l = sqrt(r^2 + h^2) = sqrt(11^2 + 16^2) = sqrt(121 + 256) = sqrt(377) = 19m
