12 and 23
- Two numbers are relatively prime only when they have 1 as the common factor . or in other words they can not be divided by any other number other than 1 and itself.
- To find
- relative prime
- of two numbers we need to find the HCF of the numbers. If the HCF is 1, then the two numbers are said to be relatively primes or in other words only 1 should be common as factor.
- factor of 23 = 2, 2, 3, 1
here only 1 is a common factor.
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Answer:
2 minutes
Step-by-step explanation:
120 divided by 60 (60 seconds in 1 minute) equals 2 minutes
Answer:
6x + y
Step-by-step explanation:
Answer:
23 m and 15 m
Step-by-step explanation:
THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?
Let the height of the rectangle is h.
Base = 8+h
Area of the rectangle, A = 65 m²
We need to find the base and height of the rectangle. The area of a rectangle is given by :
A = bh
So,
Neglecting negative value, h = 15 m
Base = 8+15 = 23 m
So, the base and height of the rectangle is 23 m and 15 m respectively.
Answer:
C. 54π + 20.25√3 cm²
Step-by-step explanation:
The shaded area can be split into two areas: a sector and an isosceles triangle.
Area of a sector is:
A = (θ/360°) πr²
where θ is the central angle and r is the radius.
Area of an isosceles triangle can be found with SAS formula:
A = ½ ab sin θ
where a and b are two sides of a triangle and θ is the angle between them.
In this case, r = a = b = 9 cm. The central angle of the sector is 240°, and the vertex angle of the triangle is 120°. Therefore, the total area is:
A = (240°/360°) π (9 cm)² + ½ (9 cm) (9 cm) sin 120°
A = 54π + 20.25√3 cm²