Answer:
Step-by-step explanation:
To find the HCF of 144 and 180
By using product of prime method
Firstly express 144 as a product of it prime and express 180 as a product of it prime
140=2×2×2×2×3×3
180=2×2×3×3×5
Common factor =2×2×3×3
36
in term of m
m=36
13m-3
To find m
Substitute for m when m=36
13(36)-3=
465
Answer: Juan walks 246,176 yards around the circular path.
To find the distance around the circular path, we are looking for the circumference. The formula for the circumference is: C = pi(r^2).
Simply plug in the radius and evaluate the expression.
C = 3.14(280^2)
C = 3.14(78400)
C = 246,176 yd
Answer:
The correct answer is option A. √3
Step-by-step explanation:
From the figure we can see that aright angled triangle.
Points to remember
If a right angled triangle with angle 30°, 60° and 90° then the sides are in the ratio, 1 : √3 : 2
<u>To find the length of side opposite to 30°</u>
Let 'x' be the side opposite to the 30°, the we can write,
x : 3 : Hypotenuse = 1 : √3 : 2
Therefore x = 3/√3 = √3
The length of side opposite to the 30° is √3
The correct answer is option A. √3
Answer:
Step-by-step explanation:
Set the equations equal to each other and solve for x
8x+11 = 12x-1
11=4x-1
12=4x
x=3