Make each known side into a ratio like so...
75/6
(Because 75 is the shadow casted by the building, and 6 is the shadow casted by sarah)
and 50/x
(50 is how tall the building is and sarah's height is what needs to be found)
Therefore,
75 50
---- -----
6 x
Do cross products;
50 x 6 = 75 x X
300 = 75x
Divide by 75
x = 4ft
The volume of the spherical dome will be 12.9π cubic feet when the surface area of the dome is 13.924π.
<h3>What is the volume of the sphere?</h3>
The volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The dome is the shape of a semi-sphere the volume of the dome will be half of the volume of the sphere.
Given that the Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924π square feet.
The volume of the dome will be calculated as below:-
SA = 13.924π
2πr² = 13.92π
r = √6.96
r = 2.63 feet
Volume = 2 / 3 πr³
Volume = ( 2 / 3 ) π ( 2.63)³
Volume = 12.24π cubic feet
Therefore, the volume of the spherical dome will be 12.9π cubic feet.
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90,000*0.12 =1,080
1,080*7=7,560
90,000+7,560=97,560
Answer:
y = 
x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x - 2y = - 6 into this form
Subtract 3x from both sides
- 2y = - 3x - 6 ( divide all terms by - 2 )
y = x + 3 ← in slope- intercept form
with slope m =
• Parallel lines have equal slopes, hence
y = x + c ← partial equation of parallel line
To find c substitute (4, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y = x - 4 ← equation of parallel line
