Answer:
60degrees
Step-by-step explanation
To get the angle x, you must first know that the sum of angle at a point is 360degrees. Hence;
x + <ADB + <CDB = 360
x +150 + 150 = 360
x+ 300 = 360
x = 360 - 300
x = 60
Hence the value of x is 60degrees
This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³
OR VOLUME = 5612 ft³
Answer: x=112
Step-by-step explanation: If you add 35 and 33 you would get 68 and if you subtract 68 from 180 you will get 112. I hope this helps!
Answer:
False the center number is a postive 8
Step-by-step explanation:
In order to find the vector that points from A to B we need to subtract each component of A from the corresponding component of B, according to the formula:
v(a→b)=(b1−a1,b2−a2)
In this case we have :
v(a→b)=(−5−(−8),3−(−1))
<span>v(a→b)=(3,4)
</span>To find the magnitude we use the formula:
||v|= √(v1^2)+(v1^2)
So:
||v|= √(32)+(42)
||v|= √9+16
||v|= <span>√</span>25
||v|= 5
