Answer:
tan45 = x over 1100
Step-by-step explanation:
Because tan = opposite/ adjacent
x is the opposite of the 45 angle in the figure shown
1100 is the adjacent of the 45 degree angle
thus tan45 = x/1100
Find the slope, m = (change in y) / (change in x)
0-(-2)
Here, m = ------------- = 1/4
8 - 0
y-k = m(x-h) becomes y+2 = (1/4)(x), or y = (1/4)x - 2
Then the desired equation is y = (1/4)x - 2 (slope-intercept form)
Answer:
The number of boys last year will be 50 boys
Step-by-step explanation:
330 members with 240 adults
The number of children will be;
330-240 = 90
2/3 of 90 are boys
= 2/3 * 90 = 60 boys
Number of girls is 90-60 = 30
Ratio of adults:boys:girls
= 240:60:30
divide through by 30
= 8:2:1
b) A year ago, there were 200 adults but the ratio still remains same
Let the number of girls be x, the number of boys will be 2x
Thus, total number is 200 + x + 2x = 200 + 3x
Total ratio is 8 + 2 + 1 = 11
mathematically;
8/11 * (200 + 3x) = 200
8(200 + 3x) = 11(200)
1600 + 24x = 2200
24x = 2200-1600
24x = 600
x = 600/24
x = 25
So the number of boys will be 25 * 2 = 50
Answer:
The area of the nonagon is 270cm²
Step-by-step explanation:
The area of a regular polygon is given by
where 'a' is the apothem and 'p' is the perimeter.
The apothem is a=6cm.
The perimeter is p=9×10=90cm.
We substitute the apothem and the perimeter to get:
