Answer:
1. 
2. 
Step-by-step explanation:
Given
Variation: inverse Proportion
y = 7, x = 9
Required
- Write an equation connecting y and x
- Find y when x = 21
Given that thee variation is inversely proportional;
This implies that
Convert variation to equation
----------- Equation 1
Where k is the constant of variation
Substitute 7 for y and 9 for x in equation 1
Multiply both sides by 9
Substitute 63 for k in equation 1
Multiply both sides by x
Hence, the equation connecting x and y is
Solving for when x = 21
Substitute 21 for x in the above equation
Divide both sides by 21
The wrong statement: The volume or the smaller cone cannot be determined because its height is unknown.
We already know that the larger cone has a height of 8 cm and that the smaller cone is just 1/4 of 8 cm.
8×1/4 = 2 cm.
You can still find its volume by using the formula 1/3πr^2.
Answer:
9 miles
Step-by-step explanation:
Answer:
5 feet of wall should be on each side of the painting.
Step-by-step explanation:
Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:
(13 - 3) / 2 = X
10/2 = X
5 = X
Therefore, 5 feet of wall should be on each side of the painting.
Answer: The next three terms =2.56, - 1.024 and 0.4096
Step-by-step explanation:
Common Ratio of a Geometric sequence, R is calculated as
=a2/a1 = -40/100=-0.4
or a3/a2=16/ -40 = -0.4
such that the next three terms are
5th term = -6.4 x -0.4=2.56
6th term= 2.56 x -0.4 =-1.024
7TH term= -1.024 x -0.4=0.4096
