Make sure you know the formula pertaining to the question.
1. c=2(pi)(r)
2. c=2(pi)(d)
r= radius
d= diameter
c= sircumference
So we are given that the circumference of a circle is 12.3pi and the radius is unknown.
So let's plug in the known values
**we use the formula with the radius, becuase we are looking for the radius.
c=2(pi)(r)
12.3(pi)=2(pi)(r)
divide each side by pi
12.3=2(r)
divide each side by 2
r=6.15 in.
For 34, since each diameter is in scientific notation , meaning that we have one number (1-9) followed by a decimal, we simply see which has the smallest power, which is cell C.
For 35, we multiply them out to get 0.83*10^2 (we subtract exponents when dividing). Since scientific notation is one integer from 1-9 followed by a decimal, we move 0.83 one place to the right and therefore remove one power from 10^2, getting 8.3*10
Answer:
x = 3.53 ft
y - 3.53 ft
z = 3.53 ft
Step-by-step explanation:
given details
volume = 44 ft^3
let cardboard dimension is x and y and height be z
we know that area of given cardboard without lid is given as
A = xy + 2xy + 2yz
xyz = 44 ft^3
To minimize area we have
A = xy + 2x (44/xy) + 2y(44/xy)
A = xy + (44/y) + (44/x)
we have
................1
..............2
from 1 and 2
xy(y-x) = 0
xy = 0 or y = x
from geometry of probelem
x ≠ 0 and y ≠ 0
so y = x
x^3 = 44
x = 3.53 ft = y
z = 44/xy = 3.53
Answer:
B. 50°
Step-by-step explanation:
∠PLM+ ∠PML =60+70 =130°
So, ∠MPL = 180°-130°=50°
According to the opposite angle theorem,
∠ KPN = ∠MPL which is 50°
