Answer:
42
Step-by-step explanation:
Angle ABD = Angle CBD + Angle ABC
You know ABD is 70, CBD and ABC are in terms of x
70 = 5x + 13 + 3x + 33
70 - 13 - 33 = 8x
24 = 8x
3 = x
Replacing x in Angle ABC:
3 * 3 + 33 = 42
So sum the prime factors up
25=5*5, 5+5=10
26=2*13, 2+13=15
27=3*3*3, 3+3+3=9
15>10>9
26 is biggest
pick 26
Both cylinder are similar
Volume of a cylinder is πr^2h
if we consider both has same radius as they are similar
Lets say V1 is volume of small cylinder and V2 is volume of big cylinder.
V1/V2=πr^2x5/πr^2xh
125/343=5/h
0.36=5/h
h=5/0.36
h=13.72 ft
Answer:
m' (-2, 4)
n' (-2, 1)
o' (3, 1)
p' (3, 4)
Step-by-step explanation:
Answer:120°
Step-by-step explanation:
Given
cake is cut into 12 equal pieces
We know the top view of cake is similar to circle .
So, if a circle is divided into 12 equal parts then
each part subtend an angle of
∅ = 360/12 = 30%
If 8 slices were eaten , then 4 slices are remaining
These 4 slices measure subtend equal angle at the center therefore
4 slice measure a total of 4 × ∅
➡️ 4 x 30°
➡️ 120°
