First we'll consider the floor size.
In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle:
hypotenuse² = 10² + 12²
hypotenuse² = 100 + 144
hypotenuse² = 244
hypotenuse =
<span>
<span>
<span>
15.62 feet
Now we have to consider the third dimension (height = 8 feet).
The two sides would be 15.62 and 8
</span></span></span>hypotenuse² =
15.62² + 8²
hypotenuse² =
244 + 64 = 308
hypotenuse = 17.55
So, the longest pipe that would fit in that room would be 17.55 feet long.
Answer:
t = 13.1576 years
Step-by-step explanation:
The situation can be modeled as
P = Po.(1-r)^t
Where
t is the years transcurred
Po is the initial amount
r is the rate of change
Po = 40000
r = 10% equivalent to 0.1
Now
A quarter of the original amount
(1/4)*Po = Po.(1-r)^t
(1/4) = (0.9)^t
t = 13.1576
Please, see attached picture
Answer:
Volume of right cylinder= 150.72 cu cm
Volume of cone= 314.159 cu cm
Volume of pyramid with base area 16= 160 cu cm
Volume of pyramid with length 3 =48 cu cm
Step-by-step explanation:
Volume of right cylinder = πr²h= 22/7 (4)²3= 150.72 cu cm
Volume of a cone = 1/3 πr²h= 1/3 (22/7) (5)²(12)= 314.159 cu cm
Volume of a pyramid = 1/3 ah= 1/3(16) (30)= 160 cu cm (where a= area and h= height)
Volume of pyramid= 1/3 (3*3)(16)= 48 cu cm
R = 4 x + 8y [ Given ]
when ,
x = 4 and R = 32
★ Substituting the values
=> 32 = 4 × 4 + 8y
=> 32 = 16 + 8y
=> 8y = 32 - 16
=> 8y = 16
=> y = 8/16
=> y = 2
