The area of the sector can be calculated using the formula: Area = (θ/360) * πr², where θ is the central angle and r is the radius.
Given θ = 60° and r = 5 cm, we can substitute these values into the formula:
Area = (60/360) * π * (5)²
Area = (1/6) * π * 25
Area ≈ (1/6) * 3.14 * 25
Area ≈ 13.08 cm²
A number is divisible by 4 if the last two digits form a number that is divisible by 4.
The last two digits of 9128 are 28, and 28 ÷ 4 = 7, which is divisible by 4.
Given:
5x + 8 = 23
Subtract 8 from both sides:
5x = 23 - 8
5x = 15
Divide both sides by 5:
x = 15 / 5
x = 3
(-9) - (-9)
= -9 + 9 (since subtracting a negative is equivalent to adding a positive)
= 0
Cost of 1 register = 5075 ÷ 35 = Rs. 145
Cost per student: 1 3/8 = 11/8
Total amount: 13 3/4 = 55/4
Now, divide the total amount by the cost per student:
Number of students = Total amount ÷ Cost per student
= (55/4) ÷ (11/8)
= (55/4) × (8/11)
= 55 × 2 / 11
= 110 / 11
= 10
To find when all three tests will be conducted together again, we need to find the least common multiple (LCM) of 3, 6, and 9.
The LCM of 3, 6, and 9 is 18.
So, all three tests will be conducted together again after:
18 days
5^(x + 3) = 25(3x - 4)
Rewrite 25 as 5²:
5^(x + 3) = 5²(3x - 4)
Equate the exponents:
x + 3 = 2(3x - 4)
Simplify:
x + 3 = 6x - 8
Subtract x from both sides:
3 = 5x - 8
Add 8 to both sides:
11 = 5x
Divide by 5:
x = 11/5
1 kilometer equals 10 hectometers.
1 kilometer (km) = 1000 meters
1 hectometer (hm) = 100 meters
Therefore, 1 km = 1000 meters / 100 meters/hm = 10 hectometers
To find the perimeter of the square-shaped field:
First, find the side length of the square:
Area = side²
2704 = side²
Take the square root:
side = √2704
side = 52
Now, find the perimeter:
Perimeter = 4 × side
= 4 × 52
= 208
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