The pot can hold 5.23 quarts
Step-by-step explanation:
- Step 1: Find the volume of the right cylinder shaped pot.
Diameter of the pot = 8 in
⇒ Radius = 4 in
Height = 6 in
⇒ Volume of the pot = πr²h = 3.14 × 4² × 6
= 301.44 in³
- Step 2: Convert inches to quarts.
1 in³ = 0.017316 liquid quarts
⇒ 301.44 in³ = 301.44 × 0.017316 = 5.23 quarts
Answer:
The roots are;
x = (2 + i)/5 or (2-i)/5
where the term i is the complex number representing the square root of -1
Step-by-step explanation:
Here, we want to use the completing the square method to solve the quadratic equation;
f(x) = -5x^2 + 4x -1
Set the function to zero
0 = -5x^2 + 4x - 1
So;
-5x^2 + 4x = 1
divide through by the coefficient of x which is -5
x^2 - 4/5x = -1/5
We now take half of the coefficient of x and square it
= -2/5^2 = 4/25
add it to both sides
x^2 - 4x/5 + 4/25= -1/5 + 4/25
(x- 2/5)^2 = -1/5 + 4/25
(x - 2/5)^2 = -1/25
Take the square root of both sides
x - 2/5 = √( -1/25
x - 2/5 = +i/5 or -i/5
x = 2/5 + i/5 or 2/5 - i/5
False. Some words like point, line and plane are not defined.
Answer:
Largest amount of bags that can be filled: 11
Starbursts in each bag: 3
Step-by-step explanation:
Find the greastest common factor between these two (which is 8) and divide the sum of the jolly ranchers and starbursts-which will be 88-by the greatest common factor. This will leave you with 11 bags that can be filled with 8 candies. To find the starbursts, divide 24 by 8 (3.)
We can use trial or error method here...
If we take 4 table, 4*5 = 20 and 4*7 = 28. 20+28 = 48.
20 : 28 = 5 : 7
So, there are 20 boys and 28 girls in a school play and there are 8 girls more than boys.
If you look over tables and try it out, only 4 table works for the given ratio.
