Answer:
10 cm
Step-by-step explanation:
Given:
No. of small spherical bulb = 1,000
radius (r) of smaller bulbs = 1 cm
Required:
radius of the bigger bulb
SOLUTION:
The following equation represents the relationship of the volume of the smaller and bigger bulb,
Where,
= volume of bigger bulb
= volume of smaller bulb
1,000 is the number of smaller bulbs melted to form the bigger bulb.
Volume of a sphere is given as, ⁴/3πr³
Therefore:
= ⁴/3*π*r³ = 4πr³/3
= ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3
Plug the above values into the equation below:
(12pie cancels 12 pie)
(taking the cube root of each side)
Radius of the bigger bulb = 10 cm
Write and solve an equation of ratios:
900 students 45 teachers
------------------ = -----------------
x 110 teachers
Cross multiplying, we get (900)(110) / 45, or
so x = # of students in the high school = 2200 (answer)
Answer:
The answer is B and E.
Step-by-step explanation:
Answer: The last option.
Step-by-step explanation:
1. By definiton, the rotation rule 90° about the origin is:
(x,y)⇒(-y,x)
2. You know that the coordinates of triangle X'Y'Z' are the following:
X'(-2,2)
Y'(0,6)
Z'(1,1)
3. Now, when you apply the rule, you obtain that the coordianates of the pre-image are the following:
X(2,2)
Y(6,0)
Z(1,-1)
Therefore, the answer is the last option.
Multiplying these together, we get:
The square root of x^2 is x, so we have a final expression of 4x.
