A
rational number is a number which can be expressed as a fraction whose
numerator and denominator are both integers and whose denominator is not equal
to zero. Rational numbers include all integers, fractions, mixed numbers, and
some decimal numbers.
Note : All terminating and repeating decimal
numbers are rational numbers because those numbers can be expressed as a
fraction. On the other hand, a non repeating number and non terminating
decimal, like square root of 2, is an irrational number.
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Answer:
10 cm
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³
The volume of a cone is given by the formula ...
V = 1/3πr²h
The ratio of the volume of the cone to that of the sphere is ...
Vcone/Vsphere = (1/3πr²h)/(4/3πr³) = h/(4r)
In order for the ratio to have a value of 1, we must have ...
h = 4r
The height of the cone must be 4×2.5 cm = 10 cm to fit all of the ice cream.
Answer:
The numbers are 17 and 5
Step-by-step explanation:
x + y = 22
x - y = 12
Add y to both sides of the equation
x = 12 + y
Substitute new value for x into first equation
12 + y + y = 22
Add the y's
12 + 2y = 22
Subtract 12 from both sides
2y = 10
y = 5
22 - 5 = 17
The numbers are 17 and 5
Hope this helps :)
<h3>
Answer: The vertex is located at (2, 2)</h3>
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Explanation:
The general vertex form is
y = a(x-h)^2 + k
When we compare the function your teacher gave you to this template, then we see that
The vertex is therefore (h,k) = (2,2)
The value of 'a' has no role in the vertex's location. This value determines how vertically stretched or compressed the parabola will be. Also, it determines if the parabola opens upward or downward (a > 0 for upward; a < 0 for downward).
Perimeter of the arc = 1/2 πD
Perimeter of the arc = 1/2 x π x (16 x 2)
Perimeter of the arc = 50.27mm (Nearest hundredth)
Perimeter of the figure = 50.27 + 20 + 20 = 90.27mm
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Answer: Perimeter = 90.27 mm
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