Answer:
4096pi/3
Step-by-step explanation:
Volume is pi * r^2 * h/ 3
r (radius) = 16
h (height)= 16
pi * 256 * 16/3 = 4096pi/3
Answer:
Δ MNO ≅ Δ RST
Step-by-step explanation:
In naming the congruent triangles follow the same order, that is
M is the vertex with 79° and R is the vertex with 79°
MN = 21 and RS = 21
These are the first 2 letter names of the triangles, that is MN and RS
O and T are the third, thus
Δ MNO ≅ Δ RST
Answer:
3 1/3 and 2
Step-by-step explanation:
Let the numbers be x and y and let z be the constant of proportion. Then
xy = 5z ...............(1)
x + y = 4z ...........(2)
x - y = z ..............(3) Adding (2) and (3)
2x = 5z
x = 5z/2 ................(4)
Substituting for x in equation 1:
5z/2 * y = 5z
y = (5z * 2) / 5z = 2.
Substituting for y in equations (2) and (3):
x + 2 = 4z
x - 2 = z Subtracting:
4 = 3z
z = 4/3.
Substituting for z in equation (4)
x = 5(4/3) /2
x = 20/6 = 10/3 = 3 1/3.
So the 2 numbers are 3 1/3 and 2.
Checking the results:
xy = 2 * 10/3 = 20/3 = 5 * 4/3 = 5z
x + y = 10/3 + 2 = 16/3 = 4 * 4/3 = 4z.
x - y = 10/3 - 2 = 4/3 = z.
Answer A - 25.12 square feet
30/20= 1 and 10/20 in simplest form that is 1 and 1/2
