Answer:
Fraction: 23/100
Decimal: .23
Percent: 23%
Step-by-step explanation:
Because there are 23 squares shaded out of 100.
Answer:
You take 6% of a number and the resulting number is 27.
To do this you need to change the percent into a fraction.
6% = 6/100
This is the number you need to multiply to the number you need to find, A.
6/100 A = 27
Solve for x
6 A = 27x100
A= 2700/6
A = 450
Check your answer:
6/100 (A) = 27
6/100 (450) = 27
(6x450) /100 = 27
2700 / 100 = 27
27 = 27
Step-by-step explanation:
Answer: (a) 
(b) 
(c) 
(d) 
Step-by-step explanation:
Properties of exponents :
1) 
2) 
3) 
4) 
Now , we simplify the given expression using the above properties.
a) 
[By property (1)]
[∵ (+)(-)=(-)]
b) 
[By property (3)]
[∵ (-)(-)=(+)]
c) 
[By property (2)]
[By property (4)]
d) 
[By property (3)]
Answer:
Compare the given equation of the circle (x - 1)² + (y -2)² = 2²
with standard form of circle: (x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle
and r is the radius of the circle.
Thus, The center of the circle is: (1, 2)
Also, for finding the point of intersections of (x - 1)² + (y -2)² = 2² and y = 2x + 2,
Substitute the value of y from equation of line in the equation of circle.
(x - 1)² + (2x + 2 - 2)² = 2²
⇒ (x - 1)² + (2x)² = 2²
⇒ x² + 1 - 2x + 4x² = 4
⇒ 5x² - 2x - 3 = 0
Applying Middle term splitting method
5x² - 5x + 3x - 3 = 0
⇒ 5x(x - 1) + 3(x - 1) = 0
⇒ (5x + 3)(x - 1) = 0
⇒ x =
and x = 1
Thus, we get coordinates:
and (1, 4)