Answer:
radius = 65 cm
Step-by-step explanation:
(See image attached for better comprehension)
To find the value of the radius, we just need to draw a triangle, where one side is half of the chord (the distance from the chord to the center creates a point that divides the chord in two equal segments), other side is the distance from the chord to the center, and the hypotenusa will be the radius.
So, using Pythagoras' theorem, we have that:
r^2 = 56^2 + 33^2
r^2 = 4225
r = 65 cm
Answer:
(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.
Step-by-step explanation:
Given that all the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over.
This implies that boxes are in multiples of 12
i.e. 12, or 24, or 36 or....
Let us say this as 12m for m an integer
Now additional boxes arrived =60
Total number of boxes now =
This when arranged in stacks of 14,nothing left out
Or this is multiple of 14
for some positive integer n.
By trial and error we find that if 60 is to be divided by 14, 24 should be added and 24 is a multiple of 12.
So we say originally 24 boxes were there now 84 boxes there.
Hence both options are right.
(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.
Answer:
perimeter- 36 in.
area- 77
Step-by-step explanation:
to find the perimeter you add all of the sides, so
7 + 7 + 11 + 11 = 36
*** the opposite side of the 7 is also 7, same with the 11 :)
to find the area for a rectangle, you use the formula A=b*h
so, the base(b)=7 and the height(h)= 11
therefore, 7 * 11 = 77
I hope this helps!! :) if it does, brainliest?? :)