Step-by-step explanation:
Area of circle = (12)^2 pi = 144 pi
Area of rectangle = 3 × 10 = 30
the area of shaded region = 144 pi - 30 = 422.57
75% of the teachers were first-year teachers
Step-by-step explanation:
the formula for percentage will be used for the problem
The percentage is given by:
Here
Total teachers = 57+19 = 76
First-year teachers = 57
So,
Hence, 75% of the teachers were first-year teachers
Keywords: Percentage, Percent
Learn more about percentage at:
#LearnwithBrainly
(2x)^3*(4y)^2
=8x^3*16y^2
=128x^3y^2
Answer:
let us consider a positive integer a
divided the positive integer a by 3, and let r be the remainder and B be the quotient and such that.
<h3>a=3b+r.........(1)</h3>
where =0,1,2,3
case 1:consider r=0
equation (1)becomes
<h3 /><h3>a=3b</h3>
on squaring both the side
<h3>a²=3m</h3>
- where m=3b²
- case 2: Let R=1
<h3>a=3b+1</h3>
- squaring on both the side we get
- a²=(3b+1)²
- a²=(3b) ²+1+2x(3b)x1
- a²=9b²+6b+1
- a²=3(3b²+2b) +1
<h3 /><h3>a²=3m+1</h3>
- where m=3b²+2b
- case3:let r=2
- equation (1)becomes
<h3>a=3b+2</h3>
- squaring on both the sides we get
- a²(3b+2)²
- a²=9b²+4(12x3bx2
- a²9b²+(12b+3+1)
- a²3(3b²+4b+1)+1
<h3 /><h3>a²3m+1</h3>
where m=3b²+4b+1
: square of any positive integer is of the form 3M or 3M + 1
: hence proved.
To solve proportions you need to cross multiply. The error is she multiplied the numerators and then multiplied the denominators. To solve correctly you would multiply 3.5 • 12 and 5 • x. This would result in 42 = 5x. Then you would divide 5 from both sides to get x=8.4
Hope this helps :)
