Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
x = - 1/6 + √-119/6, and, - 1/6 - √-119/6
Step-by-step explanation:
Using the quadratic formula which is: - b ± √b² - 4ac / 2a
a = 3, b = 1, c = 10
- 1 ± √1² -4 * 3 * 10 / 2 * 3
- 1 ± √1 - 120 / 6
-1 ± √-119 / 6
= -1/6 + √119/6, or - 1/6 - √-119/6
It will take Marvin 12 days to exersise for 576
Answer:
- The correct equation is 6s = 7.80
- The solution of the equation is s = $1.30
Step-by-step explanation:
To find the product of 6 and a number, first we denote the unknown number as s.
The product of 6 and s is the same as 6s.
If the product of both numbers is $7.80, then 6s = $7.80
The correct equation is therefore 6s = $7.80
To get the value of s, we will divide both sides by 6 to have:
6s/6 = $7.80/6
s = $1.30
Based on the calculation, the following statements are true
- The correct equation is 6s = 7.80
- The solution of the equation is s = $1.30
Answer:
I believe it is reflection across the x axis.
<3
Callie
P..S Are you in k12
Step-by-step explanation:
