The Diameter of sphere is 2cm.
Step-by-step explanation:
Given,
Volume of sphere = 
Let,
diameter = d
As we know,
Volume of sphere = 
Therefore,
We know that,
Diameter = 2r
Diameter = 2*1
Diameter = 2 cm
The Diameter of sphere is 2cm.
Keywords: Volume, Diameter
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4y = 3x + 18
Step-by-step explanation:
NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1
Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9
3y = -4x + 9
y = -4/3 x + 9/3
y = -4/3 x + 3
The slope of the perpendicular line is, therefore;
¾ - this is the negative inverse of -4/3
Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;
i.e (0, y)
The other given point, where the line crosses is (-2, 3). Remember that to get the gradient we use the formula;
Gradient = Δ y / Δ x
¾ = (3 – y) / (-2 – 0)
¾ = (3 –y) / -2
¾ * -2 = 3 – y
-3/2 = 3 – y
-3/2 – 3 = -y
9/2 = y ←– This is the y-intercept
Remember the function of a straight line is given;
y = mx + c (m being slope and c being y-intercept)
y = 3/4 x + 9/2
4y = 3x + 18
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The answer to your question that you’re trying to figure out is [3,5]
A property of triangles<span> that states that if the side lengths of a </span>triangle<span> are fixed, the </span>triangle can have only one shape.The triangle is the strongest shape due to the rigidity of its sides, which allows them to transfer force more evenly through their sides than other shapes.<span> Triangles are used extensively in the construction of buildings and bridges.</span><span> triangle cannot be deformed without changing its joints</span>
The equation you can use to solve the problem is;
50/30 = 300/x
Next Cross Multiply
50x = 9000
x = 9000/50
x = 180
The building's shadow is 180 feet tall
