Answer:
Minimum 66 feet of molding that he needs.
Step-by-step explanation:
Given that a square ceiling has a diagonal of 23 ft.
If the sides of the square ceiling are 'a' feet, then applying Pythagoras Theorem we can write, a² + a² = 23²
⇒ 2a² = 23²
⇒ a = 16.2634 feet (Approximate)
Now, the perimeter of the square ceiling will be 4a = 65.05 feet.
If the cost of molding along the perimeter of the ceiling is in per foot, then a minimum of 66 feet of molding that he needs. (Answer)
Answer:
32
Step-by-step explanation:
The equation 
and the graph below describe the velocity V in feet per second of a ball <em>t</em> seconds after it is shot into the air.
To find the balls velocity after seven seconds, substitute t = 7 into the function expression:
Answer:
246.3%
the complete question is found in the attached document
Step-by-step explanation:
1st step:
using 1936 data,
w1= 356% = 3.56(356/100) , H= 79 feet
specific gravity = 2.65
Sₓ= 100%= 1
initial void ratio(e₀)= (w1 x specific gravity)/Sₓ
=3.56 x 2.65/1 = 9.434
2nd step
using 1996 data
ΔH= 22ft
ΔH/H = Δe/(1 + e₀)
22/79 = Δe/(1+9.434)
0.278=Δe/10.434
Δe= 0.278 x 10.434
Δe= 2.905
Δe= e₀ - eₓ
eₓ= e₀-Δe
eₓ= 9.434 - 2.905
eₓ= 6.529
3rd step
calculating water content in 1996
eₓ =6.529, specific gravity= 2.65, Sₓ= 100%
W2 X 2.65 = 1 x 6.529
w2 = 6.529/2.65 = 2.463 = 246.3%
Answer:
(C) Division Property of Equality
Step-by-step explanation:
Looking at the equation 
, we see that if we want to isolate y, we need to divide it by 2 - because we're multiplying it by 2, and 2 times a number divided by 2 is just the number.
The Division Property of Equality states that if we have an equation, 
, then 
.
So, that means 
will be equal to 
, which is 9.
Hope this helped!
Answer: 349.6 gallons
Step-by-step explanation:
This is a simple proportion problems.
The flow rate = 87 . 4 gallons was dispensed in 15 minutes
That is 15 minutes = 87.4 gallons
Therefore 1 minute = ( 87.4/15 ) gallons
Recall 60 minutes = 1 hour
Now in 60 minute = (87.4/15 ×60/1 ) gallons
= 87.4 × 4
= 349.6 gallons
(Invariably) , Alternative method
15 minutes. = 1/4 of an hour 1/4 = 87 .4 gallons. A gallon. = 87.4/1/4
Recall that reciprocal of 1/4 = 4
Now = 87 .4/1/4
=87.4 × 4
Therefore 1 hour = 87.4 × 4 × 1
= 349 . 6 gallons
