Angle is x. sup - adds up to 180. comp adds up to 90
180-x = 3(90-x)+40
180-x = 270-3x+40
180-x = 310-3x
180+2x = 310
2x = 130
x=65
Answer:
-33 or 33
Step-by-step explanation:
The seventh term of an AP is written as:
The eleventh term of an AP is written as:
If the 7th term is 11 times the 11th term, then;
Expand to get:
We must have a=-52 and d=5
Or
a=52 and d=-5
For the first case, the 18th term is :
For the second case,
Answer:
17 yards and 31 yards.
Step-by-step explanation:
Since length is 14 more than width, lets call width: w and length: w+14
So perimeter is 96 so: 2w+2(w+14)=96
2w+2w+28=96 so 4w+28=96
4w=68 and finally w=17
So 17 yards and 31 yards.
Answer: The area of the shaded region is 27.74 centimeters squared
Step-by-step explanation: The diagram shows a two-in-one figure, a circle inscribed in a rectangle. The shaded region is the part of the rectangle not covered by the circle, hence we would have to subtract the area of the circle from that of the rectangle.
Area of Rectangle = L x W
Area of rectangle = 8 x 7
Area of rectangle = 56
Also,
Area of circle = Pi x r^2
Area of circle = 3.14 x 3^2
Area of circle = 3.14 x 9
Area of circle = 28.26
Area of shaded region is given as area of rectangle minus area of circle
Therefore, shaded region = 56 - 28.26
Area of shaded region = 27.74 centimeters squared
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