The radius is half of the diameter, so: 16 cm ÷ 2 = 8 cm.
Radius is the distance from the center of the circle to any point on its edge.
Let's solve the quadratic equation 6x² - 17x + 12 = 0.
Using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
Here, a = 6, b = -17, and c = 12.
x = (17 ± √((-17)² - 4_6_12)) / (2*6)
x = (17 ± √(289 - 288)) / 12
x = (17 ± √1) / 12
x = (17 + 1) / 12 or x = (17 - 1) / 12
x = 18 / 12 or x = 16 / 12
x = 3/2 or x = 4/3
The solutions are x = 3/2 and x = 4/3.
The surface area of a sphere (A) is given by the formula:
A = 4 × π × r²
Given A = 616 m², let's solve for r:
616 = 4 × π × r²
616 = 4 × (22/7) × r²
616 = 88/7 × r²
r² = 616 × 7 / 88
r² = 49
r = √49
r = 7
To find the area of the carpeting part, we need to find the area of the inner rectangle (without carpet) and subtract it from the total area.
Length of inner rectangle = 7.8 - 22.3 = 3.2 m
Width of inner rectangle = 6.5 - 22.3 = 1.9 m
Area of the room = 7.8 * 6.5 = 50.7 m^2
Area of inner rectangle = 3.2 * 1.9 = 6.08 m^2
Area of carpet = Total area - Inner area
= 50.7 - 6.08
= 44.62 m^2
The correct definition of rational numbers is:
The set of all numbers of the form p/q where p and q are integers and q ≠ 0.
This is because rational numbers are defined as the ratio of two integers, with the denominator (q) being non-zero.
The given expression:
(x/x ∈ A and x ∈/ B)
Can be read as:
x is an element of A and x is not an element of B
This represents the set difference between A and B, which is denoted as:
A B or A - B
The correct answer is: AB
90 minutes is equivalent to 5400 seconds, and 54 seconds is 1% of that.
The calculation shows that 54 seconds is 1% of 90 minutes.
To find the percentage that 3% is of 5%, divide 3% by 5% and multiply by 100:
(3/5) × 100
= 0.6 × 100
= 60%
Blouse, Skirt, and Coat are all types of clothing worn on the upper or lower body.
Slipper is footwear, making it the odd one out.
Using the identity:
a³ + b³ = (a + b)³ - 3ab(a + b)
Given:
a + b = 4
ab = 3
Substitute the values:
a³ + b³ = (4)³ - 3(3)(4)
= 64 - 36
= 28