Answer: 12.001 ft is the radius
Step-by-step explanation:
Volume of sphere is calculated by following formula:
V = 4/3 pi r³
Putting values
7234.56 = 4/3 × 3.14 ×r³
Simplifying
7234.56 = 4.186 ×r³
Rearranging the equation
r³ = 7234.56/4.186
r³ = 1728.28
Taking cube root on both sides
r = 12.001
To do this, find the surface area of each two-dimensional shape.
The two triangles have a combined area of 24.
The two rectangles have a combined area of 70.
The center rectangle has an area of 42.
Add them together to get 136 as your surface area.
Turn those 2 fractions into a improper fraction and do keep change flip and then turn it back into a mixed number
The expected value of y when x-value is 45 is 35.06
Any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called a linear equation in two variables. For example, y = 2x+3 and 2y = 4x + 9 are two-variable linear equations.
In the given question value of x is given and value of y is asked.
The given equation : y = -2.61x+152.51 Such questions can be solved by substituting the given value of variable in the equation which will help us find the unknown.
Substituting x = 45 in the given equation , we get
y = -2.61 x 45 + 152.51
y = -117.45 + 152.51
y = 35.06
Thus the expected value of y when x-value is 45 is 35.06
Learn more about Linear equations in two variables here :
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Answer:
B =
A
Step-by-step explanation:
Given that B varies directly as A then the equation relating them is
B = kA ← k is the constant of variation
To find k use the condition A = 90 and B = 40, then
k =
=
= 
B =
A ← equation of variation