Answer:
(a)2(89x+84)
(b)
Step-by-step explanation:
The dimensions of the larger rectangular field are:
- Length=5x + 12; Width
= 9x + 14.
The dimensions of the smaller rectangular soccer field are:
(a)Area of the part of the field that is outside the soccer field
=Area of the larger rectangular field - Area of the Soccer Field
=(5x+12)(9x+14)-5x(9x)
=(5x)(9x)+70x+108x+168-5x(9x)
=178x+168
=2(89x+84)
(b)Radius of the Semicircular Fountain =2x
From Part (a),
Area of the larger rectangular field - Area of the Soccer Field=178x+168
Area of the Semicircular Fountain =
Area of the Field that does not include the soccer field or the fountain.
=Area of the larger rectangular field - Area of the Soccer Field-Area of the Semicircular Fountain
Answer:
8
Step-by-step explanation:
Considering the given value of sum of interior angles with exclusion of one to be 1070 then we can write it as
1070=180(n-2) where n is the number of sides required here.
Making n the subject of the formula then following step by step
Therefore, the shape is octagon and it has 8 sides.
Answer:
cos W = 7/15
Step-by-step explanation:
Mathematically the cosine of an angle is the ratio of the adjacent to the hypotenuse side
From the diagram given, 14 is adjacent to vertex w and 30 faces the right angle which makes it the hypotenuse
So, we have it that;
cos W = 14/30
cos W = 7/15
Answer:
-3/2
Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.
Answer:
28 different ways
Step-by-step explanation:
This is a combination question. Combination has to do with selection.
Total number of element in the set = 8
Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}
Total number divisible by 6 or 8 is 6
The number of ways we can choose 6 items from 8 is expressed as;
8C6 = 8!/(8-6)!6!
8C6 = 8!/(2)!6!
8C6 = 8*7*6!/2!6!
8C6 = 8*7/2
8C6 = 56/2
8C6 = 28 ways
Hence there are 28 different ways
