Answer:
The correct answer is option A
Step-by-step explanation:
The volume of a cylinder is given by
Substituting the values of radius and height in above equation, we get -
The answer is five divide by twenty eight
Answer:
C(n) = 4 n for all possible integers n in N. This statement is true when n=1 and proving that the statement is true for n=k when given that statement is true for n= k-1
Step-by-step explanation:
Lets P (n) be the statement
C (n) = 4 n
if n =1
(x+4)n = (x+4)(1)=x+4
As we note that constant term is 4 C(n) = 4
4 n= 4 (1) =4
P(1) is true as C(n) = 4 n
when n=1
Let P (k-1)
C(k-1)=4(k-1)
we need to proof that p(k) is true
C(k) = C(k-1) +1)
=C(k-1)+C(1) x+4)n is linear
=4(k-1)+ C(1) P(k-1) is true
=4 k-4 +4 f(1)=4
=4 k
So p(k) is true
By the principle of mathematical induction, p(n) is true for all positive integers n
Answer:
A translation can map one angle unto another since dilations preserve angle measures of triangles
Step-by-step explanation:
The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same
A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles
A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex
The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate
The unit price per padlock would be $4.40
Work: $17.60 (17.60)÷4= 4.4 ($4.40)
