Let thd centre be O
Draw a line joining B and C
Angle OCB= 46 (alternate angles)
Angle COB= 180-46-46= 88
Angle BOA= 180-88-46=46
46 =x+4
x=42
Answer:
3.14 square units
Step-by-step explanation:
Circumference of a circle = 2πr
2πr = 6.28
r = 6.28/2π
r = 3.142/π
Area of a circle = πr^2
slot in the value of r
Area of the circle = π( 3.142/π)^2
" = π(9.87/ π^2)
" = 9.87/π
π = 3.14
Area of a circle = 9.867/ (3.14)
" = 3.14 square units
Answer:
=4x^2−12x+9
Step-by-step explanation:
=(2x+−3)(2x+−3)
=(2x)(2x)+(2x)(−3)+(−3)(2x)+(−3)(−3)
=4x2−6x−6x+9
=4x2−12x+9
Answer:
The value of x is 4
Step-by-step explanation:
In a right triangle, if a segment is drawn from the right angle ⊥ to the hypotenuse like the given figure, then
∵ The length of one side of the right triangle = (x + 2)
∵ The length of the hypotenuse = x + 5
∴ (x + 2)² = x (x + 5)
∵ (x + 2)² = (x + 2)(x + 2)
∴ (x + 2)(x + 2) = x(x + 5)
→ Simplify the two sides
∵ (x)(x) + (x)(2) + (2)(x) + (2)(2) = (x)(x) + (x)(5)
∴ x² + 2x + 2x + 4 = x² + 5x
→ Add the like terms in the left side
∴ x² + 4x + 4 = x² + 5x
→ Subtract x² from both sides
∵ x² - x² + 4x + 4 = x² - x² + 5x
∴ 4x + 4 = 5x
→ Subtract 4x from both sides
∴ 4x - 4x + 4 = 5x - 4x
∴ 4 = x
∴ The value of x is 4
Year Sam Sally1: X (3/2)X-10002: (5/2)X-2000 2X-15003: X/5+1000 X/4+1400Total 37X/10-1000 15X/4-1100
Since their investments are known to be equal, we equate the two totals and solve for X.37X/10-1000=15X/4-1100(150-148)X/40 = 1100-1000X/20=100X=2000
So Sam invested $2000 the first year.Sally invested X/4+1400=1900 in the last year.
