38.68 is rounded to the nearest hundredth
I'm guessing these are regular polygons so... here goes.... 11. angle 1 is (8-2)*180= 1080 then divide that by 8 (how many angles there are ) to get 135. angle 2 is 360/8 (the sum of the exterior angle is always 360) which is 45 and multiply it by 2 (because the two polygons are stuck together) to get 90.
12. it says 2 squares so angle 4 is definitely 90. angles 3 and 5 would be 45 because it's an isosceles right triangle meaning that 1 angle is 90 and that the total of the other two angles would be 90 as a triangle angle sum is 180 and since it's isosceles just divide 90 by 2 because the 2 angles are the same getting 45for angles 3 and 5.
13. the triangle includes 2 exterior angles so...360 divided by 8 = 45 (this is the measure of each exterior angle of the polygon)
45 x 2 cause as I said it includes 2 exterior angles to get 90. it's a triangle so 180 (the sum of angles in triangle) minus 90 to get 90. so 1 and 2 are both 45 and 3 is 90
Step-by-step explanation:
We have y = sin(ax + b).
=> dy/dx = a * cos(ax + b)
=> d²y/dx² = a[a * -sin(ax + b)] = a² - a * sin(ax + b).
Therefore d²y/dx² = a² - ay,
d²y/dx² - a² + ay = 0.
45 total means
45=boys+girls
if 3/5 are boys then
3/5 area boys
3/5 of 45=boys
'of' can be translated as multiply for fractions
3/5 times 45=135/5=27
27 are boys
45=b+g
b=27
subsitute
45=27+g
subtract 27 from both sides
18=g
18 girls
27 boys
18 girls