The are of the base of a cylinder is 45 inches and it’s height is 14 inches. A cone has the same area for its base and the same
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Answer:
diameter = 12 cm
radius = 6cm
circumference = 12 cm ≈ 37.68 cm
area = 36 cm² ≈ 113.04 cm²
Step-by-step explanation:
r = radius
d = diameter
C = circumference
A = area
The diagram shows a circle with a diameter of 12 cm
<u>Diameter</u>
d = 12 cm
<u>Radius</u>
r = d/2
⇒ r = 12/2
⇒ r = 6 cm
<u>Circumference</u>
C = d
⇒ C = 12 cm
<u>Area</u>
A = r²
⇒ A = x 6²
⇒ A = 36 cm²
If you use = 3.14 then:
C = 37.68 cm
A = 113.04 cm²
Answer: (12, 5)
Step-by-step explanation:
3x + 2y = 46 x + y = 17
Subtract y from both sides of the equation.
x = 17 − y 3x + 2y = 46
Replace all occurrences of x with 17 − y in each equation.
51 − y = 46
x = 17 − y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
Subtract 51 from both sides of the equation.
−y = 46 − 51
x = 17 − y
Subtract 51 from 46.
−y = −5
x = 17 − y
Multiply each term in −y = −5 by −1
Multiply each term in −y = −5 by −1. (−y) ⋅ −1 = (−5) ⋅ −1
x = 17 − y
Multiply (−y) ⋅ −1.
y = (−5) ⋅ −1
x = 17 − y
Multiply −5 by −1.
y = 5
x = 17 − y
Replace all occurrences of y with 5 in each equation.
Replace all occurrences of y in x = 17 − y with 5. x = 17 − (5)
y = 5
Simplify 17 − (5).
Multiply −1 by 5.
x = 17 − 5
y = 5
Subtract 5 from 17.
x = 12
y = 5
The solution to the system is the complete set of ordered pairs that are valid solutions.
(12, 5)
The result can be shown in multiple forms.
Point Form: (12, 5)
Equation Form: x = 12, y = 5
