Answer:
The surface area of the given pyramid is 112 
.
Step-by-step explanation:
Base length of the pyramid = 4 inches
Area of the base = 
= 
= 16
Area of its base = 16
Area of one of its triangular surface = 
x base x height
= x 4 x 12
= 2 x 12
= 24
Area of all its four triangular surfaces = 4 x 24
= 96
surface area of the pyramid = sum of areas of all its surfaces
= 16 + 96
= 112
The surface area of the given pyramid is 112 .
Answer:
???????
Step-by-step explanation:
triangles add to 180 degrees
lets call the unknown angle y
82 + x + y = 180
we also know that y + (2x-20 ) = 180 because it is a straight line
lets solve this for y
y + (2x-20 ) = 180
subtract (2x-20) from each side
y = 180 - (2x-20)
y = 180 - 2x + 20
y = 200 -2x
substitute this in the triangle equation
82 + x + y = 180
82 + x + 200 -2x = 180
combine like terms
282 -x = 180
subtract 282 from each side
-x = -102
multiply by -1 on each side
x = 102
the exterior angle is 2x-20
exterior angle is 2(102) -20
exterior angle is 204-20
exterior angle is 184
This is impossible.
There is a mistake with this problem
The triangle is not a triangle. Angle y would be negative. y=-4
Your answer would be A)
Hope this helps (:
Answer:
-4.375
Step-by-step explanation:
Answer:
8 floors
Step-by-step explanation:
The number of employees is directly proportional to the number of floors that each building has.
The first building has 32 floors and it occupies 189 employees. Therefore:
189 α 32
=> 189 = k * 32 = 32k
where k = constant of proportionality
=> k = 189/32
The new building has 50 employees, therefore:
50 = kN
where N = number of floors
=> 50 = 189/32 * N
N = (50 * 32) / 189 ≅ 8 floors
The new building should have 8 floors
