Answer:
133
Step-by-step explanation:
7 + 8(9 -2)
7 + 8(7)
7+56
133
Answer:
IJ = 6
Step-by-step explanation:
This is a 30-60-90 triangle.
The ratio of the lengths of the sides is:
1 : sqrt(3) : 2
The short leg is the length of the long leg divided by sqrt(3).
The hypotenuse is twice the length of the short leg.
IK = JK/sqrt(3) = 3sqrt(3)/sqrt(3) = 3
IJ = 2IK = 2(3) = 6
Answer:
11,200
Step-by-step explanation:
Given that the lcm of a and b is 40 then a and b are factors of 40. All the multiples of 40 as sets are 1 and 40, 2 and 20, 4 and 10, 5 and 8. Of all these, only 5 and 8 would give a lcm of 40.
Let a = 5 and b = 8 as such,
7 a^2 = 7 * 5^2 = 175
7b^2 = 7 * 8^2 = 448
Then the lcm of 7 a^2 and 7b^2
= 11,200
___________________________
◆ AREA RELATED TO CIRCLES ◆ ___________________________
As shown in the figure ,
Radius of circle = 5 cm
Side of square = 2 × (Radius of inscribed circle)
Side of square = 2 × 5 cm
Side of square = 10 cm = a
___________________________
Now ,
Area of shaded region = (Area of square) - ( Area of inscribed circle )
Area of shaded region =

Area of shaded region =

Area of shaded region = 100 - 78.571