Answer:
A = 28.26 cm², P = 38 units, A = 20 units², C = 43.96 units
Step-by-step explanation:
1) Our area of a circle is πr². Since our r = 3 cm, we can just substitute for r.
A = πr²
A = (3.14)(3)²
A = (3.14)(9)
A = 28.26 cm², like in your work.
2) Our formula for perimeter is 2l + 2w. We substitute for l = 12 and w = 7.
P = 2l + 2w
P = 2(12) + 2(7)
P = 24 + 14
P = 38 units
3) The formula for a triangle's area is A =
bh, so we substitute for b = 10 and h = 4.
A =
bh
A =
(10)(4)
A =
(40)
A = 20 units²
4) Circumference is 2πr, and we substitute for r = 7.
C = 2πr
C = 2(3.14)(7)
C = (3.14)(14)
C = 43.96 units
Answer:
First you would take 5% of 4000. Add that to 6.5% of 6000. And then add that to 11% 3560(because that's the amount he earns over 10000). You should end up with $981.6
Step-by-step explanation:
The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
we see that the visible 7 numbers have a range of 50-17 = 33.
that means that x has to make sure that the range really is 69.
so, we have indeed 2 choices : x can be the lowest value (with a difference of 69 to the highest value, 50), or x can be the highest value (with a difference of 69 to the lowest value, 17).
x as the lowest value :
x = 50 - 69 = -19
x as the highest value :
x = 17 + 69 = 86
F(X) = 6/X
F(X) = 6 • 1/X
F(X) = 6 • x^-1
F(X) = 6x^-1
F'(X) = 6 • d(x^-1)/dx
F'(X) = 6 • -1x^-1-1
F'(X) = 6 • -1x^-2
F'(X) = -6x^-2
F'(X) = -6/x^2
F'(-2) = -6/(-2)^2
F'(-2) = -6/4
F'(-2) = -3/2
The solution would be C. -3/2.