Answer:
A
Step-by-step explanation:
Prism A Volume
The Column of Prism A = Base (Area) * Height.
I think you have to assume that the triangle is a right triangle.
Area of the triangle = 1/2 * 9 * 7
Area of the triangle = 1/2 63
Area of the triangle = 31.5
Volume of the Prism = area of the triangle * thickness
Volume of the prism = 31.5 * 4
Volume of the prism = 126 m^3
Prism B = L * w * h
Prism B = 8 * 8 * 2
Prism B = 128
Prism A has the least volume by just a little.
Answer:
Therefore the height of the tower is 116.75 m.
Step-by-step explanation:
Given that a pole that is 2.6 m tall casts a shadow that is 1.03 m long.
Here the height of a object directly proportional to the shadow. It means
Height of the object ∝ shadow
Height of the object= k.shadow
[k is the proportional constant.]
[Height of object is denoted by h and shadow is denoted by s]
Then,
[h₁ is the height of the pole and s₁is the length of the shadow]
Again for the tower
[h₂ is the height of the tower and s₂ is the length of the shadow]
Therefore,
............(1)
Given 
,
and 
Putting the value of 
and 
equation (1)
[cross multiplication]
Therefore the height of the tower is 116.75 m.
So... 2n>30 and 5n<100. So if you divide out 2 and 5, you get n>15 and n<20. Therefore 15<n<20
Find angle a2 which is 40 degrees because it is parallel to angle c.
Find the total of d1 and d2.
total of d1 and d2: 180 - 40 - 40 = 100 degrees
Find d1 and d2 separately.
100 divided by 2 = 50 degrees
Use d1 to find b1 to find total of a1 and a2.
b1 is parallel to d1 so b1 = 50 degrees
a1 and a2 = 180 - 50 - 50 = 80 degrees
a1 = 80 divided by 2 = 40
Since a1 and c1 are parallel due to alternate angles, c1 is 40 degrees
Find b2 now which requires you to do total - minus all angles in the triangle with angle b2.
180 - 40 - 50 - 40 = 50 degrees (angle b2)
AOB has b1 and a1.
40 + 50 = 90 degrees (a1 + b1 = AOB)
The answer is 90 degrees
There are 15 sixteenths in 15/16.
