Answer:
61°
Step-by-step explanation:
, QO Bisector
, Algebra
, Algebra/Sub
The e vertex of the decagon will be in the top position after rotating it counterclockwise by 3 times the smallest angle of rotation.
Which vertex will be in the top position of the regular decagon?
A regular decagon has 10 sides of equal lengths with points labeled 'a' through 'j' clockwise. It is given that the point a is the top-left point. Hence, the the vertex which is in the the top position currently is 'b'.
Now, the smallest angle of rotation will be the angle between the two sides of the decagon.
In the first rotation by the smallest angle in counterclockwise direction, point 'c' will come to the top position. In the second rotation by the smallest angle in counterclockwise direction, point 'd' point will become the top most vertex. Finally, after the third similar rotation, 'e' vertex will be in the top position of the decagon. (Refer the attached diagram)
Learn more about decagon here:
brainly.com/question/27314677
#SPJ4
Answer:
Company B is more likely to produce a box of 260 roofing nails.
Step-by-step explanation:
Company A :
Mean = 272 nails
Standard deviation = 5.4 nails
Roofing nails expected to be produced = 260
⇒ 260 = 272 + z × 5.4
⇒ z = -2.222
Hence, Company A has a chance of 1.32% of producing exactly or fewer than 260 boxes of roofing nails.
Company B :
Mean = 249 nails
Standard deviation = 3.8 nails
Roofing nails expected to be produced = 260
⇒ 260 = 249 + z × 4.8
⇒ z = 2.895
Hence, Company B has a chance of 0.19% of producing exactly or more than 260 boxes of roofing nails.
Therefore, Company B is more likely to produce a box of 260 roofing nails.
Answer:
breadth = 10 cm
length = 13 cm
Step-by-step explanation:
so,
perimeter = 46cm
2(l+b) = 46cm
or, 2(3+b+b) = 46cm ( because l = 3+b)
or, 2(3+2b) = 46cm
or, 6 + 4b = 46cm
or, 4b = 46cm - 6
or, 4b = 40cm
or, b = 40/4 cm
so, b = 10 cm
now,
l = 3cm + b
l = 3 cm + 10cm
= 13cm