Answer:
current volume of the water = 785.714 in²
Height of new container = 10 inches
Step-by-step explanation:
Radius of the container = 5 inches
Height of the container = 20 inches
Volume of the container = πR²H = (22/7) × 5² × 20 = 1571.428571428 in²
Since the container is half filled with water, volume of the water = 1571.428571428 ÷ 2 = 785.714 in²
b. Volume of cylinder = πR²H = volume of water from first container = 785.714 in²
Hence 785.714 = (22/7) × 5² × H
H = (785.714) ÷ [(22/7) × 25] = 10 inches
Height of new container = 10 inches
Answer:
For given linear equation having infinite many solution the value of k is 20 .
Step-by-step explanation:
Given as :
The equation is 2 (4 x + 10) = 8 x + k
For infinite many solution , if the variable cancel out to zero then it will have infinite many solutions
<u>So, from given linear equation</u>
i.e 2 (4 x + 10) = 8 x + k
Or, 2 × 4 x + 2 × 10 = 8 x + k
Or, 8 x + 2 × 10 = 8 x + k
Or, 8 x + 20 = 8 x + k
Or, k + (8 x - 8 x) = 20
Or, k + 0 = 20
∴ k = 20
So, The vale of k = 20
Hence, For given linear equation having infinite many solution the value of k is 20 . Answer
LCM stands for least common multiple. We are being asked to find the lowest multiple that 6 and 15 have in common.
Multiples of a number (n) are integers that are the product of n and another number. Let's list the multiples of both 6 and 15:
6: 6, 12, 18, 24, 30, 36
15: 15, 30, 45, 60, 75, 90
The LCM of 6 and 15 is 30.
If you would like to know what was his total pay last week, you can calculate this using the following steps:
a base salary ... $400.00
an additional 11% commission on everything Ben sells
11% of $6050.00 = 11% * 6050 = 11/100 * 6050 = $665.5
$400 + $665.5 = $1065.5
Result: His total pay was $1065.5.
