Answer:
The answer is 75 inches.
Step-by-step explanation:
If Alice is 10 inches, she is 2/3 as tall as the door. At her regular height, to be 2/3 as tall as the door the door would have to be 75 inches high.
Answer:
Step-by-step explanation:-24 divided by 12 gives the answer of what x is. because division is the inverse of multiplication
Answer:
see explanation
Step-by-step explanation:
(a)
The shaded figure is a trapezium with area (A)
A = 0.5 h(a + b)
where h is the perpendicular height and a, b the parallel sides, thus
A = 0.5 × 10 × (8 + 14) = 5 × 22 = 110 cm²
(b)
The volume (V) of the prism is calculated as
V = area of end face × depth
= 110 × 3 = 330 cm³
There is a 2/3 probability. Why? Well, the cube is numbered 1-6 so that is 6 numbers. Out of 6, there are 4 numbers greater than 2. Because of this, there is a 4/6 probability that a number greater than 2 will be rolled. 4/6 reduces to 2/3. As a percentage and decimal, the probability would be 66.66666666% or 0.66666666666 (repeating).
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The capacity of the metal tank is 
The duration usage is 
The cost of 2000-gallon tank 15 years ago is 
The capacity of the second tank considered is
The power sizing exponent is 
The initial construction cost index is 
The new construction after 15 years cost index is 
Equation for the power sizing exponent is mathematically represented as
![\frac{P_n}{P} = [\frac{C_1}{C} ]^{e}](https://tex.z-dn.net/?f=%5Cfrac%7BP_n%7D%7BP%7D%20%3D%20%5B%5Cfrac%7BC_1%7D%7BC%7D%20%5D%5E%7Be%7D)
=> Here
is the cost of 5,000-gallon tank as at 15 years ago
So
![P_n = [\frac{5000}{2000} ] ^{0.57} * 100000](https://tex.z-dn.net/?f=P_n%20%20%3D%20%20%5B%5Cfrac%7B5000%7D%7B2000%7D%20%5D%20%5E%7B0.57%7D%20%2A%20100000)

Equation for the cost index exponent is mathematically represented as

Here
is the cost of 5,000-gallon tank today
So

=> 
=> 