PLEASE help me with this question!! I really need help!
2 answers:
First, use the volume of sphere formula by plugging in the volume into the equation to get the value of r cubed. Then get r by determining the cube root of r cubed. Once you have the value of r, plus that into the surface area of sphere formula to get the surface area of the balloon. Answer: 324pi inches squared (use radian mode on calculator)
Answer:
324π in²
Step-by-step explanation:
The surface area of a sphere = 4πr² ( r is the radius )
Calculate r using the volume (V) formula
V = πr³
Here V = 972π , thus
πr³ = 972π ( divide both sides by π )
r³ = 972 ( multiply both sides by 3 to clear the fraction )
4r³ = 2916 ( divide both sides by 4 )
r³ = 729 ( take the cube root of both sides )
r = = 9
Thus
surface area = 4π × 9² = 4π × 81 = 324π in²
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Answer:
See attached
Step-by-step explanation:
In the questions, find the equation of the dash line then apply the appropriate inequality sign.
In the first one, take points (-3,2) and (0,1) find the gradient and slope of the line.
slope of line, m=Δy/Δx
Δy=1-2=-1
Δx= 0--3=3
m= -1/3
Finding the equation of the line;
y-1/x-0 = -1/3
3y-3 =-x
3y=-x+3
y=-1/3 x+1
The inequality can be ;
y> -1/3 x +1 or y<-1/3 x +1 depending on the shaded region as attached
In 2.
You have two graphs that provide the solution of the inequality.
In the graph represented by line 1, where you have points (-3,-4) and (-5,-5)
The slope will be,
m=-5--4/-5--3
m=-5+4/-5+3
m=-1/-2 = 1/2
The equation will be;
y--4/x--3= 1/2
y+4/x+3= 1/2
2y+8=x+3
2y=x+3-8
2y=x-5
y=1/2x -2.5
In the line with points (-3,-4) and (1,-6)
m=-6--4/1--3
m=-6+4/1+3
m=-2/4 = -1/2
Finding the equation of the line
y--4/x--3 = -1/2
2(y+4) = -1 (x+3)
2y+8 =-x-3
2y=-x-3-8
2y=-x-11
y= -1/2x-5.5
The inequality can be ;
y>1/2x + 2.5
y> -1/2x -5.5
or
y< 1/2 x +2.5
y< -1/2x-5.5
Depending on the area shaded as show in the attached graphs
Learn more
- Solve inequality using graphs https://brainly.in/question/5768234
- Solution of inequality using graphs brainly.com/question/11234618
Keywords : Inequalities, graph solutions
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