Answer:
29.7cm²
Step-by-step explanation:
The area of the shaded region = area of rectangle - area of circle
Area of rectangle:
A=lw
=7*5
=35cm²
Diameter of circle is 2.6cm. Radius is half diameter: 2.6/2=1.3cm
Area of circle:
A=πr²
=(3.14)(1.3²)
=5.3066cm²
35 - 5.3066 = 29.6934cm²
A 360 degrees counter-clockwise rotation will bring the triangle at the same place.
So, divide 1980 by 360 and find the remainder.
On dividing, we can find that
1980 = 5(360) + 180
A 1800 degrees rotation will rotate the triangle 5 times and will bring it in the same place.
A further 180 degrees rotation will rotate the triangle to two quadrants back and will bring it in the first quadrant.
Answer:
25x^2 - 60xy + 36y^2
Step-by-step explanation:
(5x - 6y) ( 5x - 6y)
Use foil to get the result when this is expanded.
F: (first term in each factor): 5x*5x = 25x^2
I: Use the last term first factor multiplied by first term second factor
- 6y * 5x = - 30xy
O:Outside. Use first term first factor and last term second factor
5x * -6y = - 30xy
L: last term in both factors -6y * - 6y = 36y^2
All them together
25x^2 - 30xy - 30xy + 36y^2
and combine
25x^2 - 60xy + 36y^2
<u>old:</u> $16
<u>new:</u> $20
<u>percent increase</u>
-> formula: (new-old / old) x 100
(20-16 / 16) x 100
4/16 x 100
0.25 x 100
answer: 25% increase
